Population: The set of all units we want to study;
-
Parameter: A quantity that summarizes the population (e.g., mean, median, std. dev., quantiles, min, max, proportion);
-
-
Parameters are constant (not random!);
-
Parameters are usually unknown;
-
-
Variable: A variable is an attribute of the elements in the population.
-
-
-
-
Example: Aquarium
-
An aquarium has 20 fish. We are interested in the average weight of the fish in the aquarium.
-
-
-
Population: 20 fish in the aquarium;
-
Variable of interest: weight;
-
Parameter: average weight of the 20 fish in the aquarium (denoted by \(\mu\));
-
-
-
-
-
Example: Aquarium
-
-
-
-
-
{
-
-functiongetRandom(min, max) {
-//Generates a number from U(min, max)
-returnMath.random() * (max - min) + min;
- }
-
-// This code append the images to the aquarium
-const N =20;// how many images to append
-const div =document.querySelector("#aquarium");
-
-for (let i=0; i < N; i++){
-let img_file;
-if (i %4==0) img_file ='imgs/fish1.svg';
-if (i %4==1) img_file ='imgs/fish2.svg';
-if (i %4==2) img_file ='imgs/fish3.svg';
-if (i %4==3) img_file ='imgs/fish4.svg';
-let img =html`<img src="${img_file}" height="${getRandom(20,75)}px" width=auto style='position: absolute; left: ${getRandom(13,67)}%; top: ${getRandom(0,75)}%; padding:0; margin:0;'></img>`;
- div.append(img);
- }
-}
-
-
-
-
-
-
-
-
-Table 1: The weight of the 20 fish in the aquarium. (Note 1dkg = 10g).
-
-
-
-Fish
-
-
-Weight (dkg)
-
-
-Fish
-
-
-Weight (dkg)
-
-
-Fish
-
-
-Weight (dkg)
-
-
-Fish
-
-
-Weight (dkg)
-
-
-
-
-
-Fish #1
-
-
-43
-
-
-Fish #6
-
-
-44
-
-
-Fish #11
-
-
-26
-
-
-Fish #16
-
-
-42
-
-
-
-
-Fish #2
-
-
-46
-
-
-Fish #7
-
-
-41
-
-
-Fish #12
-
-
-47
-
-
-Fish #17
-
-
-36
-
-
-
-
-Fish #3
-
-
-47
-
-
-Fish #8
-
-
-40
-
-
-Fish #13
-
-
-37
-
-
-Fish #18
-
-
-36
-
-
-
-
-Fish #4
-
-
-59
-
-
-Fish #9
-
-
-43
-
-
-Fish #14
-
-
-42
-
-
-Fish #19
-
-
-61
-
-
-
-
-Fish #5
-
-
-24
-
-
-Fish #10
-
-
-58
-
-
-Fish #15
-
-
-60
-
-
-Fish #20
-
-
-37
-
-
-
-
-
-
-
Sample and statistics
-
-
Random Sample: a randomly selected subset of the population;
-
Statistic: a quantity calculated based on a sample (e.g., sample mean and sample std. dev.);
-
-
statistics used to estimate parameters;
-
statistics are random quantities (they depend on the sample drawn);
-
-
-
-
-
Example: Aquarium
-
-
Suppose we randomly choose 3 fish from the aquarium to weigh them;
-
We can calculate the sample mean (denoted by \(\overline{y}\)), to estimate the population mean, \(\mu\).
-
-
-
-
The problem is: there are 1140 possible samples of 3 fish we could select.
-
-
How close will \(\overline{y}\) be to \(\mu\)?
-
-
-
-
-
-
Example: Sampling Distribution
-
-
You might need to refresh this page to show the plot
-
-
-
-Table 2:All possible samples of three fish from the aquarium and their respective sample mean.
-
-
-
-Sample
-
-
-Sample Mean (dkg)
-
-
-Sample
-
-
-Sample Mean (dkg)
-
-
-Sample
-
-
-Sample Mean (dkg)
-
-
-Sample
-
-
-Sample Mean (dkg)
-
-
-
-
-
-(#1, #2, #3)
-
-
-45.33
-
-
-(#1, #2, #4)
-
-
-49.33
-
-
-(#1, #2, #5)
-
-
-37.67
-
-
-(#1, #2, #6)
-
-
-44.33
-
-
-
-
-(#1, #2, #7)
-
-
-43.33
-
-
-(#1, #2, #8)
-
-
-43.00
-
-
-(#1, #2, #9)
-
-
-44.00
-
-
-(#1, #2, #10)
-
-
-49.00
-
-
-
-
-(#1, #2, #11)
-
-
-38.33
-
-
-(#1, #2, #12)
-
-
-45.33
-
-
-(#1, #2, #13)
-
-
-42.00
-
-
-(#1, #2, #14)
-
-
-43.67
-
-
-
-
-(#1, #2, #15)
-
-
-49.67
-
-
-(#1, #2, #16)
-
-
-43.67
-
-
-(#1, #2, #17)
-
-
-41.67
-
-
-(#1, #2, #18)
-
-
-41.67
-
-
-
-
-(#1, #2, #19)
-
-
-50.00
-
-
-(#1, #2, #20)
-
-
-42.00
-
-
-(#1, #3, #4)
-
-
-49.67
-
-
-(#1, #3, #5)
-
-
-38.00
-
-
-
-
-(#1, #3, #6)
-
-
-44.67
-
-
-(#1, #3, #7)
-
-
-43.67
-
-
-(#1, #3, #8)
-
-
-43.33
-
-
-(#1, #3, #9)
-
-
-44.33
-
-
-
-
-(#1, #3, #10)
-
-
-49.33
-
-
-(#1, #3, #11)
-
-
-38.67
-
-
-(#1, #3, #12)
-
-
-45.67
-
-
-(#1, #3, #13)
-
-
-42.33
-
-
-
-
-(#1, #3, #14)
-
-
-44.00
-
-
-(#1, #3, #15)
-
-
-50.00
-
-
-(#1, #3, #16)
-
-
-44.00
-
-
-(#1, #3, #17)
-
-
-42.00
-
-
-
-
-(#1, #3, #18)
-
-
-42.00
-
-
-(#1, #3, #19)
-
-
-50.33
-
-
-(#1, #3, #20)
-
-
-42.33
-
-
-(#1, #4, #5)
-
-
-42.00
-
-
-
-
-(#1, #4, #6)
-
-
-48.67
-
-
-(#1, #4, #7)
-
-
-47.67
-
-
-(#1, #4, #8)
-
-
-47.33
-
-
-(#1, #4, #9)
-
-
-48.33
-
-
-
-
-(#1, #4, #10)
-
-
-53.33
-
-
-(#1, #4, #11)
-
-
-42.67
-
-
-(#1, #4, #12)
-
-
-49.67
-
-
-(#1, #4, #13)
-
-
-46.33
-
-
-
-
-(#1, #4, #14)
-
-
-48.00
-
-
-(#1, #4, #15)
-
-
-54.00
-
-
-(#1, #4, #16)
-
-
-48.00
-
-
-(#1, #4, #17)
-
-
-46.00
-
-
-
-
-(#1, #4, #18)
-
-
-46.00
-
-
-(#1, #4, #19)
-
-
-54.33
-
-
-(#1, #4, #20)
-
-
-46.33
-
-
-(#1, #5, #6)
-
-
-37.00
-
-
-
-
-(#1, #5, #7)
-
-
-36.00
-
-
-(#1, #5, #8)
-
-
-35.67
-
-
-(#1, #5, #9)
-
-
-36.67
-
-
-(#1, #5, #10)
-
-
-41.67
-
-
-
-
-(#1, #5, #11)
-
-
-31.00
-
-
-(#1, #5, #12)
-
-
-38.00
-
-
-(#1, #5, #13)
-
-
-34.67
-
-
-(#1, #5, #14)
-
-
-36.33
-
-
-
-
-(#1, #5, #15)
-
-
-42.33
-
-
-(#1, #5, #16)
-
-
-36.33
-
-
-(#1, #5, #17)
-
-
-34.33
-
-
-(#1, #5, #18)
-
-
-34.33
-
-
-
-
-(#1, #5, #19)
-
-
-42.67
-
-
-(#1, #5, #20)
-
-
-34.67
-
-
-(#1, #6, #7)
-
-
-42.67
-
-
-(#1, #6, #8)
-
-
-42.33
-
-
-
-
-(#1, #6, #9)
-
-
-43.33
-
-
-(#1, #6, #10)
-
-
-48.33
-
-
-(#1, #6, #11)
-
-
-37.67
-
-
-(#1, #6, #12)
-
-
-44.67
-
-
-
-
-(#1, #6, #13)
-
-
-41.33
-
-
-(#1, #6, #14)
-
-
-43.00
-
-
-(#1, #6, #15)
-
-
-49.00
-
-
-(#1, #6, #16)
-
-
-43.00
-
-
-
-
-(#1, #6, #17)
-
-
-41.00
-
-
-(#1, #6, #18)
-
-
-41.00
-
-
-(#1, #6, #19)
-
-
-49.33
-
-
-(#1, #6, #20)
-
-
-41.33
-
-
-
-
-(#1, #7, #8)
-
-
-41.33
-
-
-(#1, #7, #9)
-
-
-42.33
-
-
-(#1, #7, #10)
-
-
-47.33
-
-
-(#1, #7, #11)
-
-
-36.67
-
-
-
-
-(#1, #7, #12)
-
-
-43.67
-
-
-(#1, #7, #13)
-
-
-40.33
-
-
-(#1, #7, #14)
-
-
-42.00
-
-
-(#1, #7, #15)
-
-
-48.00
-
-
-
-
-(#1, #7, #16)
-
-
-42.00
-
-
-(#1, #7, #17)
-
-
-40.00
-
-
-(#1, #7, #18)
-
-
-40.00
-
-
-(#1, #7, #19)
-
-
-48.33
-
-
-
-
-(#1, #7, #20)
-
-
-40.33
-
-
-(#1, #8, #9)
-
-
-42.00
-
-
-(#1, #8, #10)
-
-
-47.00
-
-
-(#1, #8, #11)
-
-
-36.33
-
-
-
-
-(#1, #8, #12)
-
-
-43.33
-
-
-(#1, #8, #13)
-
-
-40.00
-
-
-(#1, #8, #14)
-
-
-41.67
-
-
-(#1, #8, #15)
-
-
-47.67
-
-
-
-
-(#1, #8, #16)
-
-
-41.67
-
-
-(#1, #8, #17)
-
-
-39.67
-
-
-(#1, #8, #18)
-
-
-39.67
-
-
-(#1, #8, #19)
-
-
-48.00
-
-
-
-
-(#1, #8, #20)
-
-
-40.00
-
-
-(#1, #9, #10)
-
-
-48.00
-
-
-(#1, #9, #11)
-
-
-37.33
-
-
-(#1, #9, #12)
-
-
-44.33
-
-
-
-
-(#1, #9, #13)
-
-
-41.00
-
-
-(#1, #9, #14)
-
-
-42.67
-
-
-(#1, #9, #15)
-
-
-48.67
-
-
-(#1, #9, #16)
-
-
-42.67
-
-
-
-
-(#1, #9, #17)
-
-
-40.67
-
-
-(#1, #9, #18)
-
-
-40.67
-
-
-(#1, #9, #19)
-
-
-49.00
-
-
-(#1, #9, #20)
-
-
-41.00
-
-
-
-
-(#1, #10, #11)
-
-
-42.33
-
-
-(#1, #10, #12)
-
-
-49.33
-
-
-(#1, #10, #13)
-
-
-46.00
-
-
-(#1, #10, #14)
-
-
-47.67
-
-
-
-
-(#1, #10, #15)
-
-
-53.67
-
-
-(#1, #10, #16)
-
-
-47.67
-
-
-(#1, #10, #17)
-
-
-45.67
-
-
-(#1, #10, #18)
-
-
-45.67
-
-
-
-
-(#1, #10, #19)
-
-
-54.00
-
-
-(#1, #10, #20)
-
-
-46.00
-
-
-(#1, #11, #12)
-
-
-38.67
-
-
-(#1, #11, #13)
-
-
-35.33
-
-
-
-
-(#1, #11, #14)
-
-
-37.00
-
-
-(#1, #11, #15)
-
-
-43.00
-
-
-(#1, #11, #16)
-
-
-37.00
-
-
-(#1, #11, #17)
-
-
-35.00
-
-
-
-
-(#1, #11, #18)
-
-
-35.00
-
-
-(#1, #11, #19)
-
-
-43.33
-
-
-(#1, #11, #20)
-
-
-35.33
-
-
-(#1, #12, #13)
-
-
-42.33
-
-
-
-
-(#1, #12, #14)
-
-
-44.00
-
-
-(#1, #12, #15)
-
-
-50.00
-
-
-(#1, #12, #16)
-
-
-44.00
-
-
-(#1, #12, #17)
-
-
-42.00
-
-
-
-
-(#1, #12, #18)
-
-
-42.00
-
-
-(#1, #12, #19)
-
-
-50.33
-
-
-(#1, #12, #20)
-
-
-42.33
-
-
-(#1, #13, #14)
-
-
-40.67
-
-
-
-
-(#1, #13, #15)
-
-
-46.67
-
-
-(#1, #13, #16)
-
-
-40.67
-
-
-(#1, #13, #17)
-
-
-38.67
-
-
-(#1, #13, #18)
-
-
-38.67
-
-
-
-
-(#1, #13, #19)
-
-
-47.00
-
-
-(#1, #13, #20)
-
-
-39.00
-
-
-(#1, #14, #15)
-
-
-48.33
-
-
-(#1, #14, #16)
-
-
-42.33
-
-
-
-
-(#1, #14, #17)
-
-
-40.33
-
-
-(#1, #14, #18)
-
-
-40.33
-
-
-(#1, #14, #19)
-
-
-48.67
-
-
-(#1, #14, #20)
-
-
-40.67
-
-
-
-
-(#1, #15, #16)
-
-
-48.33
-
-
-(#1, #15, #17)
-
-
-46.33
-
-
-(#1, #15, #18)
-
-
-46.33
-
-
-(#1, #15, #19)
-
-
-54.67
-
-
-
-
-(#1, #15, #20)
-
-
-46.67
-
-
-(#1, #16, #17)
-
-
-40.33
-
-
-(#1, #16, #18)
-
-
-40.33
-
-
-(#1, #16, #19)
-
-
-48.67
-
-
-
-
-(#1, #16, #20)
-
-
-40.67
-
-
-(#1, #17, #18)
-
-
-38.33
-
-
-(#1, #17, #19)
-
-
-46.67
-
-
-(#1, #17, #20)
-
-
-38.67
-
-
-
-
-(#1, #18, #19)
-
-
-46.67
-
-
-(#1, #18, #20)
-
-
-38.67
-
-
-(#1, #19, #20)
-
-
-47.00
-
-
-(#2, #3, #4)
-
-
-50.67
-
-
-
-
-(#2, #3, #5)
-
-
-39.00
-
-
-(#2, #3, #6)
-
-
-45.67
-
-
-(#2, #3, #7)
-
-
-44.67
-
-
-(#2, #3, #8)
-
-
-44.33
-
-
-
-
-(#2, #3, #9)
-
-
-45.33
-
-
-(#2, #3, #10)
-
-
-50.33
-
-
-(#2, #3, #11)
-
-
-39.67
-
-
-(#2, #3, #12)
-
-
-46.67
-
-
-
-
-(#2, #3, #13)
-
-
-43.33
-
-
-(#2, #3, #14)
-
-
-45.00
-
-
-(#2, #3, #15)
-
-
-51.00
-
-
-(#2, #3, #16)
-
-
-45.00
-
-
-
-
-(#2, #3, #17)
-
-
-43.00
-
-
-(#2, #3, #18)
-
-
-43.00
-
-
-(#2, #3, #19)
-
-
-51.33
-
-
-(#2, #3, #20)
-
-
-43.33
-
-
-
-
-(#2, #4, #5)
-
-
-43.00
-
-
-(#2, #4, #6)
-
-
-49.67
-
-
-(#2, #4, #7)
-
-
-48.67
-
-
-(#2, #4, #8)
-
-
-48.33
-
-
-
-
-(#2, #4, #9)
-
-
-49.33
-
-
-(#2, #4, #10)
-
-
-54.33
-
-
-(#2, #4, #11)
-
-
-43.67
-
-
-(#2, #4, #12)
-
-
-50.67
-
-
-
-
-(#2, #4, #13)
-
-
-47.33
-
-
-(#2, #4, #14)
-
-
-49.00
-
-
-(#2, #4, #15)
-
-
-55.00
-
-
-(#2, #4, #16)
-
-
-49.00
-
-
-
-
-(#2, #4, #17)
-
-
-47.00
-
-
-(#2, #4, #18)
-
-
-47.00
-
-
-(#2, #4, #19)
-
-
-55.33
-
-
-(#2, #4, #20)
-
-
-47.33
-
-
-
-
-(#2, #5, #6)
-
-
-38.00
-
-
-(#2, #5, #7)
-
-
-37.00
-
-
-(#2, #5, #8)
-
-
-36.67
-
-
-(#2, #5, #9)
-
-
-37.67
-
-
-
-
-(#2, #5, #10)
-
-
-42.67
-
-
-(#2, #5, #11)
-
-
-32.00
-
-
-(#2, #5, #12)
-
-
-39.00
-
-
-(#2, #5, #13)
-
-
-35.67
-
-
-
-
-(#2, #5, #14)
-
-
-37.33
-
-
-(#2, #5, #15)
-
-
-43.33
-
-
-(#2, #5, #16)
-
-
-37.33
-
-
-(#2, #5, #17)
-
-
-35.33
-
-
-
-
-(#2, #5, #18)
-
-
-35.33
-
-
-(#2, #5, #19)
-
-
-43.67
-
-
-(#2, #5, #20)
-
-
-35.67
-
-
-(#2, #6, #7)
-
-
-43.67
-
-
-
-
-(#2, #6, #8)
-
-
-43.33
-
-
-(#2, #6, #9)
-
-
-44.33
-
-
-(#2, #6, #10)
-
-
-49.33
-
-
-(#2, #6, #11)
-
-
-38.67
-
-
-
-
-(#2, #6, #12)
-
-
-45.67
-
-
-(#2, #6, #13)
-
-
-42.33
-
-
-(#2, #6, #14)
-
-
-44.00
-
-
-(#2, #6, #15)
-
-
-50.00
-
-
-
-
-(#2, #6, #16)
-
-
-44.00
-
-
-(#2, #6, #17)
-
-
-42.00
-
-
-(#2, #6, #18)
-
-
-42.00
-
-
-(#2, #6, #19)
-
-
-50.33
-
-
-
-
-(#2, #6, #20)
-
-
-42.33
-
-
-(#2, #7, #8)
-
-
-42.33
-
-
-(#2, #7, #9)
-
-
-43.33
-
-
-(#2, #7, #10)
-
-
-48.33
-
-
-
-
-(#2, #7, #11)
-
-
-37.67
-
-
-(#2, #7, #12)
-
-
-44.67
-
-
-(#2, #7, #13)
-
-
-41.33
-
-
-(#2, #7, #14)
-
-
-43.00
-
-
-
-
-(#2, #7, #15)
-
-
-49.00
-
-
-(#2, #7, #16)
-
-
-43.00
-
-
-(#2, #7, #17)
-
-
-41.00
-
-
-(#2, #7, #18)
-
-
-41.00
-
-
-
-
-(#2, #7, #19)
-
-
-49.33
-
-
-(#2, #7, #20)
-
-
-41.33
-
-
-(#2, #8, #9)
-
-
-43.00
-
-
-(#2, #8, #10)
-
-
-48.00
-
-
-
-
-(#2, #8, #11)
-
-
-37.33
-
-
-(#2, #8, #12)
-
-
-44.33
-
-
-(#2, #8, #13)
-
-
-41.00
-
-
-(#2, #8, #14)
-
-
-42.67
-
-
-
-
-(#2, #8, #15)
-
-
-48.67
-
-
-(#2, #8, #16)
-
-
-42.67
-
-
-(#2, #8, #17)
-
-
-40.67
-
-
-(#2, #8, #18)
-
-
-40.67
-
-
-
-
-(#2, #8, #19)
-
-
-49.00
-
-
-(#2, #8, #20)
-
-
-41.00
-
-
-(#2, #9, #10)
-
-
-49.00
-
-
-(#2, #9, #11)
-
-
-38.33
-
-
-
-
-(#2, #9, #12)
-
-
-45.33
-
-
-(#2, #9, #13)
-
-
-42.00
-
-
-(#2, #9, #14)
-
-
-43.67
-
-
-(#2, #9, #15)
-
-
-49.67
-
-
-
-
-(#2, #9, #16)
-
-
-43.67
-
-
-(#2, #9, #17)
-
-
-41.67
-
-
-(#2, #9, #18)
-
-
-41.67
-
-
-(#2, #9, #19)
-
-
-50.00
-
-
-
-
-(#2, #9, #20)
-
-
-42.00
-
-
-(#2, #10, #11)
-
-
-43.33
-
-
-(#2, #10, #12)
-
-
-50.33
-
-
-(#2, #10, #13)
-
-
-47.00
-
-
-
-
-(#2, #10, #14)
-
-
-48.67
-
-
-(#2, #10, #15)
-
-
-54.67
-
-
-(#2, #10, #16)
-
-
-48.67
-
-
-(#2, #10, #17)
-
-
-46.67
-
-
-
-
-(#2, #10, #18)
-
-
-46.67
-
-
-(#2, #10, #19)
-
-
-55.00
-
-
-(#2, #10, #20)
-
-
-47.00
-
-
-(#2, #11, #12)
-
-
-39.67
-
-
-
-
-(#2, #11, #13)
-
-
-36.33
-
-
-(#2, #11, #14)
-
-
-38.00
-
-
-(#2, #11, #15)
-
-
-44.00
-
-
-(#2, #11, #16)
-
-
-38.00
-
-
-
-
-(#2, #11, #17)
-
-
-36.00
-
-
-(#2, #11, #18)
-
-
-36.00
-
-
-(#2, #11, #19)
-
-
-44.33
-
-
-(#2, #11, #20)
-
-
-36.33
-
-
-
-
-(#2, #12, #13)
-
-
-43.33
-
-
-(#2, #12, #14)
-
-
-45.00
-
-
-(#2, #12, #15)
-
-
-51.00
-
-
-(#2, #12, #16)
-
-
-45.00
-
-
-
-
-(#2, #12, #17)
-
-
-43.00
-
-
-(#2, #12, #18)
-
-
-43.00
-
-
-(#2, #12, #19)
-
-
-51.33
-
-
-(#2, #12, #20)
-
-
-43.33
-
-
-
-
-(#2, #13, #14)
-
-
-41.67
-
-
-(#2, #13, #15)
-
-
-47.67
-
-
-(#2, #13, #16)
-
-
-41.67
-
-
-(#2, #13, #17)
-
-
-39.67
-
-
-
-
-(#2, #13, #18)
-
-
-39.67
-
-
-(#2, #13, #19)
-
-
-48.00
-
-
-(#2, #13, #20)
-
-
-40.00
-
-
-(#2, #14, #15)
-
-
-49.33
-
-
-
-
-(#2, #14, #16)
-
-
-43.33
-
-
-(#2, #14, #17)
-
-
-41.33
-
-
-(#2, #14, #18)
-
-
-41.33
-
-
-(#2, #14, #19)
-
-
-49.67
-
-
-
-
-(#2, #14, #20)
-
-
-41.67
-
-
-(#2, #15, #16)
-
-
-49.33
-
-
-(#2, #15, #17)
-
-
-47.33
-
-
-(#2, #15, #18)
-
-
-47.33
-
-
-
-
-(#2, #15, #19)
-
-
-55.67
-
-
-(#2, #15, #20)
-
-
-47.67
-
-
-(#2, #16, #17)
-
-
-41.33
-
-
-(#2, #16, #18)
-
-
-41.33
-
-
-
-
-(#2, #16, #19)
-
-
-49.67
-
-
-(#2, #16, #20)
-
-
-41.67
-
-
-(#2, #17, #18)
-
-
-39.33
-
-
-(#2, #17, #19)
-
-
-47.67
-
-
-
-
-(#2, #17, #20)
-
-
-39.67
-
-
-(#2, #18, #19)
-
-
-47.67
-
-
-(#2, #18, #20)
-
-
-39.67
-
-
-(#2, #19, #20)
-
-
-48.00
-
-
-
-
-(#3, #4, #5)
-
-
-43.33
-
-
-(#3, #4, #6)
-
-
-50.00
-
-
-(#3, #4, #7)
-
-
-49.00
-
-
-(#3, #4, #8)
-
-
-48.67
-
-
-
-
-(#3, #4, #9)
-
-
-49.67
-
-
-(#3, #4, #10)
-
-
-54.67
-
-
-(#3, #4, #11)
-
-
-44.00
-
-
-(#3, #4, #12)
-
-
-51.00
-
-
-
-
-(#3, #4, #13)
-
-
-47.67
-
-
-(#3, #4, #14)
-
-
-49.33
-
-
-(#3, #4, #15)
-
-
-55.33
-
-
-(#3, #4, #16)
-
-
-49.33
-
-
-
-
-(#3, #4, #17)
-
-
-47.33
-
-
-(#3, #4, #18)
-
-
-47.33
-
-
-(#3, #4, #19)
-
-
-55.67
-
-
-(#3, #4, #20)
-
-
-47.67
-
-
-
-
-(#3, #5, #6)
-
-
-38.33
-
-
-(#3, #5, #7)
-
-
-37.33
-
-
-(#3, #5, #8)
-
-
-37.00
-
-
-(#3, #5, #9)
-
-
-38.00
-
-
-
-
-(#3, #5, #10)
-
-
-43.00
-
-
-(#3, #5, #11)
-
-
-32.33
-
-
-(#3, #5, #12)
-
-
-39.33
-
-
-(#3, #5, #13)
-
-
-36.00
-
-
-
-
-(#3, #5, #14)
-
-
-37.67
-
-
-(#3, #5, #15)
-
-
-43.67
-
-
-(#3, #5, #16)
-
-
-37.67
-
-
-(#3, #5, #17)
-
-
-35.67
-
-
-
-
-(#3, #5, #18)
-
-
-35.67
-
-
-(#3, #5, #19)
-
-
-44.00
-
-
-(#3, #5, #20)
-
-
-36.00
-
-
-(#3, #6, #7)
-
-
-44.00
-
-
-
-
-(#3, #6, #8)
-
-
-43.67
-
-
-(#3, #6, #9)
-
-
-44.67
-
-
-(#3, #6, #10)
-
-
-49.67
-
-
-(#3, #6, #11)
-
-
-39.00
-
-
-
-
-(#3, #6, #12)
-
-
-46.00
-
-
-(#3, #6, #13)
-
-
-42.67
-
-
-(#3, #6, #14)
-
-
-44.33
-
-
-(#3, #6, #15)
-
-
-50.33
-
-
-
-
-(#3, #6, #16)
-
-
-44.33
-
-
-(#3, #6, #17)
-
-
-42.33
-
-
-(#3, #6, #18)
-
-
-42.33
-
-
-(#3, #6, #19)
-
-
-50.67
-
-
-
-
-(#3, #6, #20)
-
-
-42.67
-
-
-(#3, #7, #8)
-
-
-42.67
-
-
-(#3, #7, #9)
-
-
-43.67
-
-
-(#3, #7, #10)
-
-
-48.67
-
-
-
-
-(#3, #7, #11)
-
-
-38.00
-
-
-(#3, #7, #12)
-
-
-45.00
-
-
-(#3, #7, #13)
-
-
-41.67
-
-
-(#3, #7, #14)
-
-
-43.33
-
-
-
-
-(#3, #7, #15)
-
-
-49.33
-
-
-(#3, #7, #16)
-
-
-43.33
-
-
-(#3, #7, #17)
-
-
-41.33
-
-
-(#3, #7, #18)
-
-
-41.33
-
-
-
-
-(#3, #7, #19)
-
-
-49.67
-
-
-(#3, #7, #20)
-
-
-41.67
-
-
-(#3, #8, #9)
-
-
-43.33
-
-
-(#3, #8, #10)
-
-
-48.33
-
-
-
-
-(#3, #8, #11)
-
-
-37.67
-
-
-(#3, #8, #12)
-
-
-44.67
-
-
-(#3, #8, #13)
-
-
-41.33
-
-
-(#3, #8, #14)
-
-
-43.00
-
-
-
-
-(#3, #8, #15)
-
-
-49.00
-
-
-(#3, #8, #16)
-
-
-43.00
-
-
-(#3, #8, #17)
-
-
-41.00
-
-
-(#3, #8, #18)
-
-
-41.00
-
-
-
-
-(#3, #8, #19)
-
-
-49.33
-
-
-(#3, #8, #20)
-
-
-41.33
-
-
-(#3, #9, #10)
-
-
-49.33
-
-
-(#3, #9, #11)
-
-
-38.67
-
-
-
-
-(#3, #9, #12)
-
-
-45.67
-
-
-(#3, #9, #13)
-
-
-42.33
-
-
-(#3, #9, #14)
-
-
-44.00
-
-
-(#3, #9, #15)
-
-
-50.00
-
-
-
-
-(#3, #9, #16)
-
-
-44.00
-
-
-(#3, #9, #17)
-
-
-42.00
-
-
-(#3, #9, #18)
-
-
-42.00
-
-
-(#3, #9, #19)
-
-
-50.33
-
-
-
-
-(#3, #9, #20)
-
-
-42.33
-
-
-(#3, #10, #11)
-
-
-43.67
-
-
-(#3, #10, #12)
-
-
-50.67
-
-
-(#3, #10, #13)
-
-
-47.33
-
-
-
-
-(#3, #10, #14)
-
-
-49.00
-
-
-(#3, #10, #15)
-
-
-55.00
-
-
-(#3, #10, #16)
-
-
-49.00
-
-
-(#3, #10, #17)
-
-
-47.00
-
-
-
-
-(#3, #10, #18)
-
-
-47.00
-
-
-(#3, #10, #19)
-
-
-55.33
-
-
-(#3, #10, #20)
-
-
-47.33
-
-
-(#3, #11, #12)
-
-
-40.00
-
-
-
-
-(#3, #11, #13)
-
-
-36.67
-
-
-(#3, #11, #14)
-
-
-38.33
-
-
-(#3, #11, #15)
-
-
-44.33
-
-
-(#3, #11, #16)
-
-
-38.33
-
-
-
-
-(#3, #11, #17)
-
-
-36.33
-
-
-(#3, #11, #18)
-
-
-36.33
-
-
-(#3, #11, #19)
-
-
-44.67
-
-
-(#3, #11, #20)
-
-
-36.67
-
-
-
-
-(#3, #12, #13)
-
-
-43.67
-
-
-(#3, #12, #14)
-
-
-45.33
-
-
-(#3, #12, #15)
-
-
-51.33
-
-
-(#3, #12, #16)
-
-
-45.33
-
-
-
-
-(#3, #12, #17)
-
-
-43.33
-
-
-(#3, #12, #18)
-
-
-43.33
-
-
-(#3, #12, #19)
-
-
-51.67
-
-
-(#3, #12, #20)
-
-
-43.67
-
-
-
-
-(#3, #13, #14)
-
-
-42.00
-
-
-(#3, #13, #15)
-
-
-48.00
-
-
-(#3, #13, #16)
-
-
-42.00
-
-
-(#3, #13, #17)
-
-
-40.00
-
-
-
-
-(#3, #13, #18)
-
-
-40.00
-
-
-(#3, #13, #19)
-
-
-48.33
-
-
-(#3, #13, #20)
-
-
-40.33
-
-
-(#3, #14, #15)
-
-
-49.67
-
-
-
-
-(#3, #14, #16)
-
-
-43.67
-
-
-(#3, #14, #17)
-
-
-41.67
-
-
-(#3, #14, #18)
-
-
-41.67
-
-
-(#3, #14, #19)
-
-
-50.00
-
-
-
-
-(#3, #14, #20)
-
-
-42.00
-
-
-(#3, #15, #16)
-
-
-49.67
-
-
-(#3, #15, #17)
-
-
-47.67
-
-
-(#3, #15, #18)
-
-
-47.67
-
-
-
-
-(#3, #15, #19)
-
-
-56.00
-
-
-(#3, #15, #20)
-
-
-48.00
-
-
-(#3, #16, #17)
-
-
-41.67
-
-
-(#3, #16, #18)
-
-
-41.67
-
-
-
-
-(#3, #16, #19)
-
-
-50.00
-
-
-(#3, #16, #20)
-
-
-42.00
-
-
-(#3, #17, #18)
-
-
-39.67
-
-
-(#3, #17, #19)
-
-
-48.00
-
-
-
-
-(#3, #17, #20)
-
-
-40.00
-
-
-(#3, #18, #19)
-
-
-48.00
-
-
-(#3, #18, #20)
-
-
-40.00
-
-
-(#3, #19, #20)
-
-
-48.33
-
-
-
-
-(#4, #5, #6)
-
-
-42.33
-
-
-(#4, #5, #7)
-
-
-41.33
-
-
-(#4, #5, #8)
-
-
-41.00
-
-
-(#4, #5, #9)
-
-
-42.00
-
-
-
-
-(#4, #5, #10)
-
-
-47.00
-
-
-(#4, #5, #11)
-
-
-36.33
-
-
-(#4, #5, #12)
-
-
-43.33
-
-
-(#4, #5, #13)
-
-
-40.00
-
-
-
-
-(#4, #5, #14)
-
-
-41.67
-
-
-(#4, #5, #15)
-
-
-47.67
-
-
-(#4, #5, #16)
-
-
-41.67
-
-
-(#4, #5, #17)
-
-
-39.67
-
-
-
-
-(#4, #5, #18)
-
-
-39.67
-
-
-(#4, #5, #19)
-
-
-48.00
-
-
-(#4, #5, #20)
-
-
-40.00
-
-
-(#4, #6, #7)
-
-
-48.00
-
-
-
-
-(#4, #6, #8)
-
-
-47.67
-
-
-(#4, #6, #9)
-
-
-48.67
-
-
-(#4, #6, #10)
-
-
-53.67
-
-
-(#4, #6, #11)
-
-
-43.00
-
-
-
-
-(#4, #6, #12)
-
-
-50.00
-
-
-(#4, #6, #13)
-
-
-46.67
-
-
-(#4, #6, #14)
-
-
-48.33
-
-
-(#4, #6, #15)
-
-
-54.33
-
-
-
-
-(#4, #6, #16)
-
-
-48.33
-
-
-(#4, #6, #17)
-
-
-46.33
-
-
-(#4, #6, #18)
-
-
-46.33
-
-
-(#4, #6, #19)
-
-
-54.67
-
-
-
-
-(#4, #6, #20)
-
-
-46.67
-
-
-(#4, #7, #8)
-
-
-46.67
-
-
-(#4, #7, #9)
-
-
-47.67
-
-
-(#4, #7, #10)
-
-
-52.67
-
-
-
-
-(#4, #7, #11)
-
-
-42.00
-
-
-(#4, #7, #12)
-
-
-49.00
-
-
-(#4, #7, #13)
-
-
-45.67
-
-
-(#4, #7, #14)
-
-
-47.33
-
-
-
-
-(#4, #7, #15)
-
-
-53.33
-
-
-(#4, #7, #16)
-
-
-47.33
-
-
-(#4, #7, #17)
-
-
-45.33
-
-
-(#4, #7, #18)
-
-
-45.33
-
-
-
-
-(#4, #7, #19)
-
-
-53.67
-
-
-(#4, #7, #20)
-
-
-45.67
-
-
-(#4, #8, #9)
-
-
-47.33
-
-
-(#4, #8, #10)
-
-
-52.33
-
-
-
-
-(#4, #8, #11)
-
-
-41.67
-
-
-(#4, #8, #12)
-
-
-48.67
-
-
-(#4, #8, #13)
-
-
-45.33
-
-
-(#4, #8, #14)
-
-
-47.00
-
-
-
-
-(#4, #8, #15)
-
-
-53.00
-
-
-(#4, #8, #16)
-
-
-47.00
-
-
-(#4, #8, #17)
-
-
-45.00
-
-
-(#4, #8, #18)
-
-
-45.00
-
-
-
-
-(#4, #8, #19)
-
-
-53.33
-
-
-(#4, #8, #20)
-
-
-45.33
-
-
-(#4, #9, #10)
-
-
-53.33
-
-
-(#4, #9, #11)
-
-
-42.67
-
-
-
-
-(#4, #9, #12)
-
-
-49.67
-
-
-(#4, #9, #13)
-
-
-46.33
-
-
-(#4, #9, #14)
-
-
-48.00
-
-
-(#4, #9, #15)
-
-
-54.00
-
-
-
-
-(#4, #9, #16)
-
-
-48.00
-
-
-(#4, #9, #17)
-
-
-46.00
-
-
-(#4, #9, #18)
-
-
-46.00
-
-
-(#4, #9, #19)
-
-
-54.33
-
-
-
-
-(#4, #9, #20)
-
-
-46.33
-
-
-(#4, #10, #11)
-
-
-47.67
-
-
-(#4, #10, #12)
-
-
-54.67
-
-
-(#4, #10, #13)
-
-
-51.33
-
-
-
-
-(#4, #10, #14)
-
-
-53.00
-
-
-(#4, #10, #15)
-
-
-59.00
-
-
-(#4, #10, #16)
-
-
-53.00
-
-
-(#4, #10, #17)
-
-
-51.00
-
-
-
-
-(#4, #10, #18)
-
-
-51.00
-
-
-(#4, #10, #19)
-
-
-59.33
-
-
-(#4, #10, #20)
-
-
-51.33
-
-
-(#4, #11, #12)
-
-
-44.00
-
-
-
-
-(#4, #11, #13)
-
-
-40.67
-
-
-(#4, #11, #14)
-
-
-42.33
-
-
-(#4, #11, #15)
-
-
-48.33
-
-
-(#4, #11, #16)
-
-
-42.33
-
-
-
-
-(#4, #11, #17)
-
-
-40.33
-
-
-(#4, #11, #18)
-
-
-40.33
-
-
-(#4, #11, #19)
-
-
-48.67
-
-
-(#4, #11, #20)
-
-
-40.67
-
-
-
-
-(#4, #12, #13)
-
-
-47.67
-
-
-(#4, #12, #14)
-
-
-49.33
-
-
-(#4, #12, #15)
-
-
-55.33
-
-
-(#4, #12, #16)
-
-
-49.33
-
-
-
-
-(#4, #12, #17)
-
-
-47.33
-
-
-(#4, #12, #18)
-
-
-47.33
-
-
-(#4, #12, #19)
-
-
-55.67
-
-
-(#4, #12, #20)
-
-
-47.67
-
-
-
-
-(#4, #13, #14)
-
-
-46.00
-
-
-(#4, #13, #15)
-
-
-52.00
-
-
-(#4, #13, #16)
-
-
-46.00
-
-
-(#4, #13, #17)
-
-
-44.00
-
-
-
-
-(#4, #13, #18)
-
-
-44.00
-
-
-(#4, #13, #19)
-
-
-52.33
-
-
-(#4, #13, #20)
-
-
-44.33
-
-
-(#4, #14, #15)
-
-
-53.67
-
-
-
-
-(#4, #14, #16)
-
-
-47.67
-
-
-(#4, #14, #17)
-
-
-45.67
-
-
-(#4, #14, #18)
-
-
-45.67
-
-
-(#4, #14, #19)
-
-
-54.00
-
-
-
-
-(#4, #14, #20)
-
-
-46.00
-
-
-(#4, #15, #16)
-
-
-53.67
-
-
-(#4, #15, #17)
-
-
-51.67
-
-
-(#4, #15, #18)
-
-
-51.67
-
-
-
-
-(#4, #15, #19)
-
-
-60.00
-
-
-(#4, #15, #20)
-
-
-52.00
-
-
-(#4, #16, #17)
-
-
-45.67
-
-
-(#4, #16, #18)
-
-
-45.67
-
-
-
-
-(#4, #16, #19)
-
-
-54.00
-
-
-(#4, #16, #20)
-
-
-46.00
-
-
-(#4, #17, #18)
-
-
-43.67
-
-
-(#4, #17, #19)
-
-
-52.00
-
-
-
-
-(#4, #17, #20)
-
-
-44.00
-
-
-(#4, #18, #19)
-
-
-52.00
-
-
-(#4, #18, #20)
-
-
-44.00
-
-
-(#4, #19, #20)
-
-
-52.33
-
-
-
-
-(#5, #6, #7)
-
-
-36.33
-
-
-(#5, #6, #8)
-
-
-36.00
-
-
-(#5, #6, #9)
-
-
-37.00
-
-
-(#5, #6, #10)
-
-
-42.00
-
-
-
-
-(#5, #6, #11)
-
-
-31.33
-
-
-(#5, #6, #12)
-
-
-38.33
-
-
-(#5, #6, #13)
-
-
-35.00
-
-
-(#5, #6, #14)
-
-
-36.67
-
-
-
-
-(#5, #6, #15)
-
-
-42.67
-
-
-(#5, #6, #16)
-
-
-36.67
-
-
-(#5, #6, #17)
-
-
-34.67
-
-
-(#5, #6, #18)
-
-
-34.67
-
-
-
-
-(#5, #6, #19)
-
-
-43.00
-
-
-(#5, #6, #20)
-
-
-35.00
-
-
-(#5, #7, #8)
-
-
-35.00
-
-
-(#5, #7, #9)
-
-
-36.00
-
-
-
-
-(#5, #7, #10)
-
-
-41.00
-
-
-(#5, #7, #11)
-
-
-30.33
-
-
-(#5, #7, #12)
-
-
-37.33
-
-
-(#5, #7, #13)
-
-
-34.00
-
-
-
-
-(#5, #7, #14)
-
-
-35.67
-
-
-(#5, #7, #15)
-
-
-41.67
-
-
-(#5, #7, #16)
-
-
-35.67
-
-
-(#5, #7, #17)
-
-
-33.67
-
-
-
-
-(#5, #7, #18)
-
-
-33.67
-
-
-(#5, #7, #19)
-
-
-42.00
-
-
-(#5, #7, #20)
-
-
-34.00
-
-
-(#5, #8, #9)
-
-
-35.67
-
-
-
-
-(#5, #8, #10)
-
-
-40.67
-
-
-(#5, #8, #11)
-
-
-30.00
-
-
-(#5, #8, #12)
-
-
-37.00
-
-
-(#5, #8, #13)
-
-
-33.67
-
-
-
-
-(#5, #8, #14)
-
-
-35.33
-
-
-(#5, #8, #15)
-
-
-41.33
-
-
-(#5, #8, #16)
-
-
-35.33
-
-
-(#5, #8, #17)
-
-
-33.33
-
-
-
-
-(#5, #8, #18)
-
-
-33.33
-
-
-(#5, #8, #19)
-
-
-41.67
-
-
-(#5, #8, #20)
-
-
-33.67
-
-
-(#5, #9, #10)
-
-
-41.67
-
-
-
-
-(#5, #9, #11)
-
-
-31.00
-
-
-(#5, #9, #12)
-
-
-38.00
-
-
-(#5, #9, #13)
-
-
-34.67
-
-
-(#5, #9, #14)
-
-
-36.33
-
-
-
-
-(#5, #9, #15)
-
-
-42.33
-
-
-(#5, #9, #16)
-
-
-36.33
-
-
-(#5, #9, #17)
-
-
-34.33
-
-
-(#5, #9, #18)
-
-
-34.33
-
-
-
-
-(#5, #9, #19)
-
-
-42.67
-
-
-(#5, #9, #20)
-
-
-34.67
-
-
-(#5, #10, #11)
-
-
-36.00
-
-
-(#5, #10, #12)
-
-
-43.00
-
-
-
-
-(#5, #10, #13)
-
-
-39.67
-
-
-(#5, #10, #14)
-
-
-41.33
-
-
-(#5, #10, #15)
-
-
-47.33
-
-
-(#5, #10, #16)
-
-
-41.33
-
-
-
-
-(#5, #10, #17)
-
-
-39.33
-
-
-(#5, #10, #18)
-
-
-39.33
-
-
-(#5, #10, #19)
-
-
-47.67
-
-
-(#5, #10, #20)
-
-
-39.67
-
-
-
-
-(#5, #11, #12)
-
-
-32.33
-
-
-(#5, #11, #13)
-
-
-29.00
-
-
-(#5, #11, #14)
-
-
-30.67
-
-
-(#5, #11, #15)
-
-
-36.67
-
-
-
-
-(#5, #11, #16)
-
-
-30.67
-
-
-(#5, #11, #17)
-
-
-28.67
-
-
-(#5, #11, #18)
-
-
-28.67
-
-
-(#5, #11, #19)
-
-
-37.00
-
-
-
-
-(#5, #11, #20)
-
-
-29.00
-
-
-(#5, #12, #13)
-
-
-36.00
-
-
-(#5, #12, #14)
-
-
-37.67
-
-
-(#5, #12, #15)
-
-
-43.67
-
-
-
-
-(#5, #12, #16)
-
-
-37.67
-
-
-(#5, #12, #17)
-
-
-35.67
-
-
-(#5, #12, #18)
-
-
-35.67
-
-
-(#5, #12, #19)
-
-
-44.00
-
-
-
-
-(#5, #12, #20)
-
-
-36.00
-
-
-(#5, #13, #14)
-
-
-34.33
-
-
-(#5, #13, #15)
-
-
-40.33
-
-
-(#5, #13, #16)
-
-
-34.33
-
-
-
-
-(#5, #13, #17)
-
-
-32.33
-
-
-(#5, #13, #18)
-
-
-32.33
-
-
-(#5, #13, #19)
-
-
-40.67
-
-
-(#5, #13, #20)
-
-
-32.67
-
-
-
-
-(#5, #14, #15)
-
-
-42.00
-
-
-(#5, #14, #16)
-
-
-36.00
-
-
-(#5, #14, #17)
-
-
-34.00
-
-
-(#5, #14, #18)
-
-
-34.00
-
-
-
-
-(#5, #14, #19)
-
-
-42.33
-
-
-(#5, #14, #20)
-
-
-34.33
-
-
-(#5, #15, #16)
-
-
-42.00
-
-
-(#5, #15, #17)
-
-
-40.00
-
-
-
-
-(#5, #15, #18)
-
-
-40.00
-
-
-(#5, #15, #19)
-
-
-48.33
-
-
-(#5, #15, #20)
-
-
-40.33
-
-
-(#5, #16, #17)
-
-
-34.00
-
-
-
-
-(#5, #16, #18)
-
-
-34.00
-
-
-(#5, #16, #19)
-
-
-42.33
-
-
-(#5, #16, #20)
-
-
-34.33
-
-
-(#5, #17, #18)
-
-
-32.00
-
-
-
-
-(#5, #17, #19)
-
-
-40.33
-
-
-(#5, #17, #20)
-
-
-32.33
-
-
-(#5, #18, #19)
-
-
-40.33
-
-
-(#5, #18, #20)
-
-
-32.33
-
-
-
-
-(#5, #19, #20)
-
-
-40.67
-
-
-(#6, #7, #8)
-
-
-41.67
-
-
-(#6, #7, #9)
-
-
-42.67
-
-
-(#6, #7, #10)
-
-
-47.67
-
-
-
-
-(#6, #7, #11)
-
-
-37.00
-
-
-(#6, #7, #12)
-
-
-44.00
-
-
-(#6, #7, #13)
-
-
-40.67
-
-
-(#6, #7, #14)
-
-
-42.33
-
-
-
-
-(#6, #7, #15)
-
-
-48.33
-
-
-(#6, #7, #16)
-
-
-42.33
-
-
-(#6, #7, #17)
-
-
-40.33
-
-
-(#6, #7, #18)
-
-
-40.33
-
-
-
-
-(#6, #7, #19)
-
-
-48.67
-
-
-(#6, #7, #20)
-
-
-40.67
-
-
-(#6, #8, #9)
-
-
-42.33
-
-
-(#6, #8, #10)
-
-
-47.33
-
-
-
-
-(#6, #8, #11)
-
-
-36.67
-
-
-(#6, #8, #12)
-
-
-43.67
-
-
-(#6, #8, #13)
-
-
-40.33
-
-
-(#6, #8, #14)
-
-
-42.00
-
-
-
-
-(#6, #8, #15)
-
-
-48.00
-
-
-(#6, #8, #16)
-
-
-42.00
-
-
-(#6, #8, #17)
-
-
-40.00
-
-
-(#6, #8, #18)
-
-
-40.00
-
-
-
-
-(#6, #8, #19)
-
-
-48.33
-
-
-(#6, #8, #20)
-
-
-40.33
-
-
-(#6, #9, #10)
-
-
-48.33
-
-
-(#6, #9, #11)
-
-
-37.67
-
-
-
-
-(#6, #9, #12)
-
-
-44.67
-
-
-(#6, #9, #13)
-
-
-41.33
-
-
-(#6, #9, #14)
-
-
-43.00
-
-
-(#6, #9, #15)
-
-
-49.00
-
-
-
-
-(#6, #9, #16)
-
-
-43.00
-
-
-(#6, #9, #17)
-
-
-41.00
-
-
-(#6, #9, #18)
-
-
-41.00
-
-
-(#6, #9, #19)
-
-
-49.33
-
-
-
-
-(#6, #9, #20)
-
-
-41.33
-
-
-(#6, #10, #11)
-
-
-42.67
-
-
-(#6, #10, #12)
-
-
-49.67
-
-
-(#6, #10, #13)
-
-
-46.33
-
-
-
-
-(#6, #10, #14)
-
-
-48.00
-
-
-(#6, #10, #15)
-
-
-54.00
-
-
-(#6, #10, #16)
-
-
-48.00
-
-
-(#6, #10, #17)
-
-
-46.00
-
-
-
-
-(#6, #10, #18)
-
-
-46.00
-
-
-(#6, #10, #19)
-
-
-54.33
-
-
-(#6, #10, #20)
-
-
-46.33
-
-
-(#6, #11, #12)
-
-
-39.00
-
-
-
-
-(#6, #11, #13)
-
-
-35.67
-
-
-(#6, #11, #14)
-
-
-37.33
-
-
-(#6, #11, #15)
-
-
-43.33
-
-
-(#6, #11, #16)
-
-
-37.33
-
-
-
-
-(#6, #11, #17)
-
-
-35.33
-
-
-(#6, #11, #18)
-
-
-35.33
-
-
-(#6, #11, #19)
-
-
-43.67
-
-
-(#6, #11, #20)
-
-
-35.67
-
-
-
-
-(#6, #12, #13)
-
-
-42.67
-
-
-(#6, #12, #14)
-
-
-44.33
-
-
-(#6, #12, #15)
-
-
-50.33
-
-
-(#6, #12, #16)
-
-
-44.33
-
-
-
-
-(#6, #12, #17)
-
-
-42.33
-
-
-(#6, #12, #18)
-
-
-42.33
-
-
-(#6, #12, #19)
-
-
-50.67
-
-
-(#6, #12, #20)
-
-
-42.67
-
-
-
-
-(#6, #13, #14)
-
-
-41.00
-
-
-(#6, #13, #15)
-
-
-47.00
-
-
-(#6, #13, #16)
-
-
-41.00
-
-
-(#6, #13, #17)
-
-
-39.00
-
-
-
-
-(#6, #13, #18)
-
-
-39.00
-
-
-(#6, #13, #19)
-
-
-47.33
-
-
-(#6, #13, #20)
-
-
-39.33
-
-
-(#6, #14, #15)
-
-
-48.67
-
-
-
-
-(#6, #14, #16)
-
-
-42.67
-
-
-(#6, #14, #17)
-
-
-40.67
-
-
-(#6, #14, #18)
-
-
-40.67
-
-
-(#6, #14, #19)
-
-
-49.00
-
-
-
-
-(#6, #14, #20)
-
-
-41.00
-
-
-(#6, #15, #16)
-
-
-48.67
-
-
-(#6, #15, #17)
-
-
-46.67
-
-
-(#6, #15, #18)
-
-
-46.67
-
-
-
-
-(#6, #15, #19)
-
-
-55.00
-
-
-(#6, #15, #20)
-
-
-47.00
-
-
-(#6, #16, #17)
-
-
-40.67
-
-
-(#6, #16, #18)
-
-
-40.67
-
-
-
-
-(#6, #16, #19)
-
-
-49.00
-
-
-(#6, #16, #20)
-
-
-41.00
-
-
-(#6, #17, #18)
-
-
-38.67
-
-
-(#6, #17, #19)
-
-
-47.00
-
-
-
-
-(#6, #17, #20)
-
-
-39.00
-
-
-(#6, #18, #19)
-
-
-47.00
-
-
-(#6, #18, #20)
-
-
-39.00
-
-
-(#6, #19, #20)
-
-
-47.33
-
-
-
-
-(#7, #8, #9)
-
-
-41.33
-
-
-(#7, #8, #10)
-
-
-46.33
-
-
-(#7, #8, #11)
-
-
-35.67
-
-
-(#7, #8, #12)
-
-
-42.67
-
-
-
-
-(#7, #8, #13)
-
-
-39.33
-
-
-(#7, #8, #14)
-
-
-41.00
-
-
-(#7, #8, #15)
-
-
-47.00
-
-
-(#7, #8, #16)
-
-
-41.00
-
-
-
-
-(#7, #8, #17)
-
-
-39.00
-
-
-(#7, #8, #18)
-
-
-39.00
-
-
-(#7, #8, #19)
-
-
-47.33
-
-
-(#7, #8, #20)
-
-
-39.33
-
-
-
-
-(#7, #9, #10)
-
-
-47.33
-
-
-(#7, #9, #11)
-
-
-36.67
-
-
-(#7, #9, #12)
-
-
-43.67
-
-
-(#7, #9, #13)
-
-
-40.33
-
-
-
-
-(#7, #9, #14)
-
-
-42.00
-
-
-(#7, #9, #15)
-
-
-48.00
-
-
-(#7, #9, #16)
-
-
-42.00
-
-
-(#7, #9, #17)
-
-
-40.00
-
-
-
-
-(#7, #9, #18)
-
-
-40.00
-
-
-(#7, #9, #19)
-
-
-48.33
-
-
-(#7, #9, #20)
-
-
-40.33
-
-
-(#7, #10, #11)
-
-
-41.67
-
-
-
-
-(#7, #10, #12)
-
-
-48.67
-
-
-(#7, #10, #13)
-
-
-45.33
-
-
-(#7, #10, #14)
-
-
-47.00
-
-
-(#7, #10, #15)
-
-
-53.00
-
-
-
-
-(#7, #10, #16)
-
-
-47.00
-
-
-(#7, #10, #17)
-
-
-45.00
-
-
-(#7, #10, #18)
-
-
-45.00
-
-
-(#7, #10, #19)
-
-
-53.33
-
-
-
-
-(#7, #10, #20)
-
-
-45.33
-
-
-(#7, #11, #12)
-
-
-38.00
-
-
-(#7, #11, #13)
-
-
-34.67
-
-
-(#7, #11, #14)
-
-
-36.33
-
-
-
-
-(#7, #11, #15)
-
-
-42.33
-
-
-(#7, #11, #16)
-
-
-36.33
-
-
-(#7, #11, #17)
-
-
-34.33
-
-
-(#7, #11, #18)
-
-
-34.33
-
-
-
-
-(#7, #11, #19)
-
-
-42.67
-
-
-(#7, #11, #20)
-
-
-34.67
-
-
-(#7, #12, #13)
-
-
-41.67
-
-
-(#7, #12, #14)
-
-
-43.33
-
-
-
-
-(#7, #12, #15)
-
-
-49.33
-
-
-(#7, #12, #16)
-
-
-43.33
-
-
-(#7, #12, #17)
-
-
-41.33
-
-
-(#7, #12, #18)
-
-
-41.33
-
-
-
-
-(#7, #12, #19)
-
-
-49.67
-
-
-(#7, #12, #20)
-
-
-41.67
-
-
-(#7, #13, #14)
-
-
-40.00
-
-
-(#7, #13, #15)
-
-
-46.00
-
-
-
-
-(#7, #13, #16)
-
-
-40.00
-
-
-(#7, #13, #17)
-
-
-38.00
-
-
-(#7, #13, #18)
-
-
-38.00
-
-
-(#7, #13, #19)
-
-
-46.33
-
-
-
-
-(#7, #13, #20)
-
-
-38.33
-
-
-(#7, #14, #15)
-
-
-47.67
-
-
-(#7, #14, #16)
-
-
-41.67
-
-
-(#7, #14, #17)
-
-
-39.67
-
-
-
-
-(#7, #14, #18)
-
-
-39.67
-
-
-(#7, #14, #19)
-
-
-48.00
-
-
-(#7, #14, #20)
-
-
-40.00
-
-
-(#7, #15, #16)
-
-
-47.67
-
-
-
-
-(#7, #15, #17)
-
-
-45.67
-
-
-(#7, #15, #18)
-
-
-45.67
-
-
-(#7, #15, #19)
-
-
-54.00
-
-
-(#7, #15, #20)
-
-
-46.00
-
-
-
-
-(#7, #16, #17)
-
-
-39.67
-
-
-(#7, #16, #18)
-
-
-39.67
-
-
-(#7, #16, #19)
-
-
-48.00
-
-
-(#7, #16, #20)
-
-
-40.00
-
-
-
-
-(#7, #17, #18)
-
-
-37.67
-
-
-(#7, #17, #19)
-
-
-46.00
-
-
-(#7, #17, #20)
-
-
-38.00
-
-
-(#7, #18, #19)
-
-
-46.00
-
-
-
-
-(#7, #18, #20)
-
-
-38.00
-
-
-(#7, #19, #20)
-
-
-46.33
-
-
-(#8, #9, #10)
-
-
-47.00
-
-
-(#8, #9, #11)
-
-
-36.33
-
-
-
-
-(#8, #9, #12)
-
-
-43.33
-
-
-(#8, #9, #13)
-
-
-40.00
-
-
-(#8, #9, #14)
-
-
-41.67
-
-
-(#8, #9, #15)
-
-
-47.67
-
-
-
-
-(#8, #9, #16)
-
-
-41.67
-
-
-(#8, #9, #17)
-
-
-39.67
-
-
-(#8, #9, #18)
-
-
-39.67
-
-
-(#8, #9, #19)
-
-
-48.00
-
-
-
-
-(#8, #9, #20)
-
-
-40.00
-
-
-(#8, #10, #11)
-
-
-41.33
-
-
-(#8, #10, #12)
-
-
-48.33
-
-
-(#8, #10, #13)
-
-
-45.00
-
-
-
-
-(#8, #10, #14)
-
-
-46.67
-
-
-(#8, #10, #15)
-
-
-52.67
-
-
-(#8, #10, #16)
-
-
-46.67
-
-
-(#8, #10, #17)
-
-
-44.67
-
-
-
-
-(#8, #10, #18)
-
-
-44.67
-
-
-(#8, #10, #19)
-
-
-53.00
-
-
-(#8, #10, #20)
-
-
-45.00
-
-
-(#8, #11, #12)
-
-
-37.67
-
-
-
-
-(#8, #11, #13)
-
-
-34.33
-
-
-(#8, #11, #14)
-
-
-36.00
-
-
-(#8, #11, #15)
-
-
-42.00
-
-
-(#8, #11, #16)
-
-
-36.00
-
-
-
-
-(#8, #11, #17)
-
-
-34.00
-
-
-(#8, #11, #18)
-
-
-34.00
-
-
-(#8, #11, #19)
-
-
-42.33
-
-
-(#8, #11, #20)
-
-
-34.33
-
-
-
-
-(#8, #12, #13)
-
-
-41.33
-
-
-(#8, #12, #14)
-
-
-43.00
-
-
-(#8, #12, #15)
-
-
-49.00
-
-
-(#8, #12, #16)
-
-
-43.00
-
-
-
-
-(#8, #12, #17)
-
-
-41.00
-
-
-(#8, #12, #18)
-
-
-41.00
-
-
-(#8, #12, #19)
-
-
-49.33
-
-
-(#8, #12, #20)
-
-
-41.33
-
-
-
-
-(#8, #13, #14)
-
-
-39.67
-
-
-(#8, #13, #15)
-
-
-45.67
-
-
-(#8, #13, #16)
-
-
-39.67
-
-
-(#8, #13, #17)
-
-
-37.67
-
-
-
-
-(#8, #13, #18)
-
-
-37.67
-
-
-(#8, #13, #19)
-
-
-46.00
-
-
-(#8, #13, #20)
-
-
-38.00
-
-
-(#8, #14, #15)
-
-
-47.33
-
-
-
-
-(#8, #14, #16)
-
-
-41.33
-
-
-(#8, #14, #17)
-
-
-39.33
-
-
-(#8, #14, #18)
-
-
-39.33
-
-
-(#8, #14, #19)
-
-
-47.67
-
-
-
-
-(#8, #14, #20)
-
-
-39.67
-
-
-(#8, #15, #16)
-
-
-47.33
-
-
-(#8, #15, #17)
-
-
-45.33
-
-
-(#8, #15, #18)
-
-
-45.33
-
-
-
-
-(#8, #15, #19)
-
-
-53.67
-
-
-(#8, #15, #20)
-
-
-45.67
-
-
-(#8, #16, #17)
-
-
-39.33
-
-
-(#8, #16, #18)
-
-
-39.33
-
-
-
-
-(#8, #16, #19)
-
-
-47.67
-
-
-(#8, #16, #20)
-
-
-39.67
-
-
-(#8, #17, #18)
-
-
-37.33
-
-
-(#8, #17, #19)
-
-
-45.67
-
-
-
-
-(#8, #17, #20)
-
-
-37.67
-
-
-(#8, #18, #19)
-
-
-45.67
-
-
-(#8, #18, #20)
-
-
-37.67
-
-
-(#8, #19, #20)
-
-
-46.00
-
-
-
-
-(#9, #10, #11)
-
-
-42.33
-
-
-(#9, #10, #12)
-
-
-49.33
-
-
-(#9, #10, #13)
-
-
-46.00
-
-
-(#9, #10, #14)
-
-
-47.67
-
-
-
-
-(#9, #10, #15)
-
-
-53.67
-
-
-(#9, #10, #16)
-
-
-47.67
-
-
-(#9, #10, #17)
-
-
-45.67
-
-
-(#9, #10, #18)
-
-
-45.67
-
-
-
-
-(#9, #10, #19)
-
-
-54.00
-
-
-(#9, #10, #20)
-
-
-46.00
-
-
-(#9, #11, #12)
-
-
-38.67
-
-
-(#9, #11, #13)
-
-
-35.33
-
-
-
-
-(#9, #11, #14)
-
-
-37.00
-
-
-(#9, #11, #15)
-
-
-43.00
-
-
-(#9, #11, #16)
-
-
-37.00
-
-
-(#9, #11, #17)
-
-
-35.00
-
-
-
-
-(#9, #11, #18)
-
-
-35.00
-
-
-(#9, #11, #19)
-
-
-43.33
-
-
-(#9, #11, #20)
-
-
-35.33
-
-
-(#9, #12, #13)
-
-
-42.33
-
-
-
-
-(#9, #12, #14)
-
-
-44.00
-
-
-(#9, #12, #15)
-
-
-50.00
-
-
-(#9, #12, #16)
-
-
-44.00
-
-
-(#9, #12, #17)
-
-
-42.00
-
-
-
-
-(#9, #12, #18)
-
-
-42.00
-
-
-(#9, #12, #19)
-
-
-50.33
-
-
-(#9, #12, #20)
-
-
-42.33
-
-
-(#9, #13, #14)
-
-
-40.67
-
-
-
-
-(#9, #13, #15)
-
-
-46.67
-
-
-(#9, #13, #16)
-
-
-40.67
-
-
-(#9, #13, #17)
-
-
-38.67
-
-
-(#9, #13, #18)
-
-
-38.67
-
-
-
-
-(#9, #13, #19)
-
-
-47.00
-
-
-(#9, #13, #20)
-
-
-39.00
-
-
-(#9, #14, #15)
-
-
-48.33
-
-
-(#9, #14, #16)
-
-
-42.33
-
-
-
-
-(#9, #14, #17)
-
-
-40.33
-
-
-(#9, #14, #18)
-
-
-40.33
-
-
-(#9, #14, #19)
-
-
-48.67
-
-
-(#9, #14, #20)
-
-
-40.67
-
-
-
-
-(#9, #15, #16)
-
-
-48.33
-
-
-(#9, #15, #17)
-
-
-46.33
-
-
-(#9, #15, #18)
-
-
-46.33
-
-
-(#9, #15, #19)
-
-
-54.67
-
-
-
-
-(#9, #15, #20)
-
-
-46.67
-
-
-(#9, #16, #17)
-
-
-40.33
-
-
-(#9, #16, #18)
-
-
-40.33
-
-
-(#9, #16, #19)
-
-
-48.67
-
-
-
-
-(#9, #16, #20)
-
-
-40.67
-
-
-(#9, #17, #18)
-
-
-38.33
-
-
-(#9, #17, #19)
-
-
-46.67
-
-
-(#9, #17, #20)
-
-
-38.67
-
-
-
-
-(#9, #18, #19)
-
-
-46.67
-
-
-(#9, #18, #20)
-
-
-38.67
-
-
-(#9, #19, #20)
-
-
-47.00
-
-
-(#10, #11, #12)
-
-
-43.67
-
-
-
-
-(#10, #11, #13)
-
-
-40.33
-
-
-(#10, #11, #14)
-
-
-42.00
-
-
-(#10, #11, #15)
-
-
-48.00
-
-
-(#10, #11, #16)
-
-
-42.00
-
-
-
-
-(#10, #11, #17)
-
-
-40.00
-
-
-(#10, #11, #18)
-
-
-40.00
-
-
-(#10, #11, #19)
-
-
-48.33
-
-
-(#10, #11, #20)
-
-
-40.33
-
-
-
-
-(#10, #12, #13)
-
-
-47.33
-
-
-(#10, #12, #14)
-
-
-49.00
-
-
-(#10, #12, #15)
-
-
-55.00
-
-
-(#10, #12, #16)
-
-
-49.00
-
-
-
-
-(#10, #12, #17)
-
-
-47.00
-
-
-(#10, #12, #18)
-
-
-47.00
-
-
-(#10, #12, #19)
-
-
-55.33
-
-
-(#10, #12, #20)
-
-
-47.33
-
-
-
-
-(#10, #13, #14)
-
-
-45.67
-
-
-(#10, #13, #15)
-
-
-51.67
-
-
-(#10, #13, #16)
-
-
-45.67
-
-
-(#10, #13, #17)
-
-
-43.67
-
-
-
-
-(#10, #13, #18)
-
-
-43.67
-
-
-(#10, #13, #19)
-
-
-52.00
-
-
-(#10, #13, #20)
-
-
-44.00
-
-
-(#10, #14, #15)
-
-
-53.33
-
-
-
-
-(#10, #14, #16)
-
-
-47.33
-
-
-(#10, #14, #17)
-
-
-45.33
-
-
-(#10, #14, #18)
-
-
-45.33
-
-
-(#10, #14, #19)
-
-
-53.67
-
-
-
-
-(#10, #14, #20)
-
-
-45.67
-
-
-(#10, #15, #16)
-
-
-53.33
-
-
-(#10, #15, #17)
-
-
-51.33
-
-
-(#10, #15, #18)
-
-
-51.33
-
-
-
-
-(#10, #15, #19)
-
-
-59.67
-
-
-(#10, #15, #20)
-
-
-51.67
-
-
-(#10, #16, #17)
-
-
-45.33
-
-
-(#10, #16, #18)
-
-
-45.33
-
-
-
-
-(#10, #16, #19)
-
-
-53.67
-
-
-(#10, #16, #20)
-
-
-45.67
-
-
-(#10, #17, #18)
-
-
-43.33
-
-
-(#10, #17, #19)
-
-
-51.67
-
-
-
-
-(#10, #17, #20)
-
-
-43.67
-
-
-(#10, #18, #19)
-
-
-51.67
-
-
-(#10, #18, #20)
-
-
-43.67
-
-
-(#10, #19, #20)
-
-
-52.00
-
-
-
-
-(#11, #12, #13)
-
-
-36.67
-
-
-(#11, #12, #14)
-
-
-38.33
-
-
-(#11, #12, #15)
-
-
-44.33
-
-
-(#11, #12, #16)
-
-
-38.33
-
-
-
-
-(#11, #12, #17)
-
-
-36.33
-
-
-(#11, #12, #18)
-
-
-36.33
-
-
-(#11, #12, #19)
-
-
-44.67
-
-
-(#11, #12, #20)
-
-
-36.67
-
-
-
-
-(#11, #13, #14)
-
-
-35.00
-
-
-(#11, #13, #15)
-
-
-41.00
-
-
-(#11, #13, #16)
-
-
-35.00
-
-
-(#11, #13, #17)
-
-
-33.00
-
-
-
-
-(#11, #13, #18)
-
-
-33.00
-
-
-(#11, #13, #19)
-
-
-41.33
-
-
-(#11, #13, #20)
-
-
-33.33
-
-
-(#11, #14, #15)
-
-
-42.67
-
-
-
-
-(#11, #14, #16)
-
-
-36.67
-
-
-(#11, #14, #17)
-
-
-34.67
-
-
-(#11, #14, #18)
-
-
-34.67
-
-
-(#11, #14, #19)
-
-
-43.00
-
-
-
-
-(#11, #14, #20)
-
-
-35.00
-
-
-(#11, #15, #16)
-
-
-42.67
-
-
-(#11, #15, #17)
-
-
-40.67
-
-
-(#11, #15, #18)
-
-
-40.67
-
-
-
-
-(#11, #15, #19)
-
-
-49.00
-
-
-(#11, #15, #20)
-
-
-41.00
-
-
-(#11, #16, #17)
-
-
-34.67
-
-
-(#11, #16, #18)
-
-
-34.67
-
-
-
-
-(#11, #16, #19)
-
-
-43.00
-
-
-(#11, #16, #20)
-
-
-35.00
-
-
-(#11, #17, #18)
-
-
-32.67
-
-
-(#11, #17, #19)
-
-
-41.00
-
-
-
-
-(#11, #17, #20)
-
-
-33.00
-
-
-(#11, #18, #19)
-
-
-41.00
-
-
-(#11, #18, #20)
-
-
-33.00
-
-
-(#11, #19, #20)
-
-
-41.33
-
-
-
-
-(#12, #13, #14)
-
-
-42.00
-
-
-(#12, #13, #15)
-
-
-48.00
-
-
-(#12, #13, #16)
-
-
-42.00
-
-
-(#12, #13, #17)
-
-
-40.00
-
-
-
-
-(#12, #13, #18)
-
-
-40.00
-
-
-(#12, #13, #19)
-
-
-48.33
-
-
-(#12, #13, #20)
-
-
-40.33
-
-
-(#12, #14, #15)
-
-
-49.67
-
-
-
-
-(#12, #14, #16)
-
-
-43.67
-
-
-(#12, #14, #17)
-
-
-41.67
-
-
-(#12, #14, #18)
-
-
-41.67
-
-
-(#12, #14, #19)
-
-
-50.00
-
-
-
-
-(#12, #14, #20)
-
-
-42.00
-
-
-(#12, #15, #16)
-
-
-49.67
-
-
-(#12, #15, #17)
-
-
-47.67
-
-
-(#12, #15, #18)
-
-
-47.67
-
-
-
-
-(#12, #15, #19)
-
-
-56.00
-
-
-(#12, #15, #20)
-
-
-48.00
-
-
-(#12, #16, #17)
-
-
-41.67
-
-
-(#12, #16, #18)
-
-
-41.67
-
-
-
-
-(#12, #16, #19)
-
-
-50.00
-
-
-(#12, #16, #20)
-
-
-42.00
-
-
-(#12, #17, #18)
-
-
-39.67
-
-
-(#12, #17, #19)
-
-
-48.00
-
-
-
-
-(#12, #17, #20)
-
-
-40.00
-
-
-(#12, #18, #19)
-
-
-48.00
-
-
-(#12, #18, #20)
-
-
-40.00
-
-
-(#12, #19, #20)
-
-
-48.33
-
-
-
-
-(#13, #14, #15)
-
-
-46.33
-
-
-(#13, #14, #16)
-
-
-40.33
-
-
-(#13, #14, #17)
-
-
-38.33
-
-
-(#13, #14, #18)
-
-
-38.33
-
-
-
-
-(#13, #14, #19)
-
-
-46.67
-
-
-(#13, #14, #20)
-
-
-38.67
-
-
-(#13, #15, #16)
-
-
-46.33
-
-
-(#13, #15, #17)
-
-
-44.33
-
-
-
-
-(#13, #15, #18)
-
-
-44.33
-
-
-(#13, #15, #19)
-
-
-52.67
-
-
-(#13, #15, #20)
-
-
-44.67
-
-
-(#13, #16, #17)
-
-
-38.33
-
-
-
-
-(#13, #16, #18)
-
-
-38.33
-
-
-(#13, #16, #19)
-
-
-46.67
-
-
-(#13, #16, #20)
-
-
-38.67
-
-
-(#13, #17, #18)
-
-
-36.33
-
-
-
-
-(#13, #17, #19)
-
-
-44.67
-
-
-(#13, #17, #20)
-
-
-36.67
-
-
-(#13, #18, #19)
-
-
-44.67
-
-
-(#13, #18, #20)
-
-
-36.67
-
-
-
-
-(#13, #19, #20)
-
-
-45.00
-
-
-(#14, #15, #16)
-
-
-48.00
-
-
-(#14, #15, #17)
-
-
-46.00
-
-
-(#14, #15, #18)
-
-
-46.00
-
-
-
-
-(#14, #15, #19)
-
-
-54.33
-
-
-(#14, #15, #20)
-
-
-46.33
-
-
-(#14, #16, #17)
-
-
-40.00
-
-
-(#14, #16, #18)
-
-
-40.00
-
-
-
-
-(#14, #16, #19)
-
-
-48.33
-
-
-(#14, #16, #20)
-
-
-40.33
-
-
-(#14, #17, #18)
-
-
-38.00
-
-
-(#14, #17, #19)
-
-
-46.33
-
-
-
-
-(#14, #17, #20)
-
-
-38.33
-
-
-(#14, #18, #19)
-
-
-46.33
-
-
-(#14, #18, #20)
-
-
-38.33
-
-
-(#14, #19, #20)
-
-
-46.67
-
-
-
-
-(#15, #16, #17)
-
-
-46.00
-
-
-(#15, #16, #18)
-
-
-46.00
-
-
-(#15, #16, #19)
-
-
-54.33
-
-
-(#15, #16, #20)
-
-
-46.33
-
-
-
-
-(#15, #17, #18)
-
-
-44.00
-
-
-(#15, #17, #19)
-
-
-52.33
-
-
-(#15, #17, #20)
-
-
-44.33
-
-
-(#15, #18, #19)
-
-
-52.33
-
-
-
-
-(#15, #18, #20)
-
-
-44.33
-
-
-(#15, #19, #20)
-
-
-52.67
-
-
-(#16, #17, #18)
-
-
-38.00
-
-
-(#16, #17, #19)
-
-
-46.33
-
-
-
-
-(#16, #17, #20)
-
-
-38.33
-
-
-(#16, #18, #19)
-
-
-46.33
-
-
-(#16, #18, #20)
-
-
-38.33
-
-
-(#16, #19, #20)
-
-
-46.67
-
-
-
-
-(#17, #18, #19)
-
-
-44.33
-
-
-(#17, #18, #20)
-
-
-36.33
-
-
-(#17, #19, #20)
-
-
-44.67
-
-
-(#18, #19, #20)
-
-
-44.67
-
-
-
-
-
-
-
{
-const get_data_from_table = (table_name, collapsible =false) =>{
-const table =document.getElementById(table_name);
-const entries_pop = table.querySelectorAll("td");
-let data =Array(1140);
-
-let cont =0;
- entries_pop.forEach(
- (entry) => {
-const value =parseFloat(entry.textContent);
-if (!isNaN(value)) {
- data[cont++] =parseFloat(entry.textContent);
- entry.value= value;
- }
- }
- );
-return data;
- }
-
-const selectConfigureSVG = (id, height =400) => {
-let svg = d3.select('#'+ id);
- svg.selectAll("*").remove();
- svg.attr('width', width)
-.attr('height', height + margin.top+ margin.bottom )
-.append("g")
-.attr("transform",
-"translate("+ margin.left+","+ margin.top+")");
-return svg;
- }
-
-const makeXAxis = (bins, xLabel, height =400) => {
-let x = d3.scaleLinear()
-.domain([bins[0].x0-1, bins[bins.length-1].x1+5])
-.range([margin.left, width - margin.right]);
-
-let xAxis = g => g
-.attr("transform",`translate(0, ${height - margin.bottom})`)
-.call(d3.axisBottom(x).ticks(width /100).tickSizeOuter(0))
-.call(g => g.append("text")
-.attr("x", width /2)
-.attr("y",7)
-.attr("fill","currentColor")
-.attr("font-weight","bold")
-.attr("text-anchor","bottom")
-.attr('font-size','16px')
-.attr("class","axis")
-.attr("dy","2.5em")
-.text(xLabel)
-.attr("class","axes-label"));
-
-return [x, xAxis];
-
- }
-
-const makeYAxis = (bins, height =400) => {
-let y = d3.scaleLinear()
-.domain([0, d3.max(bins, d => d.length) +10]).nice()
-.range([height - margin.bottom, margin.top]);
-
-let yAxis = g => g
-.attr("transform",`translate(${margin.left},0)`)
-.call(d3.axisLeft(y).ticks(height /100))
-.call(g => g.select(".tick:last-of-type text").clone()
-.attr("x",-(height - margin.bottom)/3)
-.attr("y",-45)
-.attr("font-weight","bold")
-.attr('font-size','16px')
-.attr('transform','rotate(270)')
-.attr("text-anchor","middle")
-.text("Frequency")
-.attr("class","axes-label"));
-
-return [y, yAxis];
- }
-
-const appendBars = (svg, bins, x, y) => {
- svg.append("g")
-.attr("fill","steelblue")
-.selectAll("rect")
-.data(bins)
-.join("rect")
-.attr("x", d =>x(d.x0) +1)
-.attr("width", d =>Math.max(0,x(d.x1) -x(d.x0) -1))
-.attr("y", d =>y(d.length))
-.attr("height", d =>y(0) -y(d.length))
-.attr("class",'bin');
- }
-
-const appendTitle = (svg, title) => {
- svg.append("text")
-.attr("x", width /2)
-.attr("y",50)
-.attr("text-anchor","middle")
-.text(title)
-.attr("dy","-15px")
-.attr("class","plot-title");
- }
-
-const appendAxes = (svg, xAxis, yAxis) => {
- svg.append("g")
-.call(xAxis);
-
- svg.append("g")
-.call(yAxis);
- }
-
-const makeHistogram = (id, data, nbins, title, xLabel, height =400) => {
-let svg =selectConfigureSVG(id, height);
-
-let bins = d3.bin()
-.thresholds(nbins)(data);
-
-let [x, xAxis] =makeXAxis(bins, xLabel, height);
-let [y, yAxis] =makeYAxis(bins, height);
-appendBars(svg, bins, x, y);
-appendTitle(svg, title);
-appendAxes(svg, xAxis, yAxis);
- }
-
-
-/** Getting the calculated style properties */
-let margin = { top:25,right:5,bottom:25,left:60 },
- height =400,
-//width = 800 - margin.left - margin.right;
- width =document.querySelector("#all-samples-fish").clientWidth- margin.left- margin.right;
-
-
-/**********************************/
-/**** Creates the histogram
- **** of Sampling Distribution
- /**********************************/
-
-/** Collecting the data from the table */
-let sample_means_fish =get_data_from_table("all-samples-fish",true);
-let sampling_dist_fish =selectConfigureSVG("sampling-dist-fish", height =500);
-
-/** creates the bin with thresholds of 20 */
-let bins = d3.bin().thresholds(20)(sample_means_fish);
-
-let [x_fish, xAxis] =makeXAxis(bins,"Average Fish Weight (dkg)", height =500);
-let [y_fish, yAxis] =makeYAxis(bins, height =500);
-appendAxes(sampling_dist_fish, xAxis, yAxis);
-
-/** appending the bars and adding event handlers */
- sampling_dist_fish.append("g")
-.attr("fill","steelblue")
-.selectAll("rect")
-.data(bins)
-.join("rect")
-.attr("x", d =>x_fish(d.x0) +1)
-.attr("width", d =>Math.max(0,x_fish(d.x1) -x_fish(d.x0) -1))
-.attr("y", d =>y_fish(d.length))
-.attr("height", d =>y_fish(0) -y_fish(d.length))
-.attr("class",'bin')
-.on("mouseenter", (d, i, nodes) => {
-
-// Mouse-over event: turns the bin red and add the number of data points in the bin to the top of the bin
- d3.select(d.target).attr("fill","red");
- d3.select(d.target.parentNode)
-.append("text")
-.attr("x", (x_fish(i.x0) +x_fish(i.x1)) /2)
-.attr("text-anchor","middle")
-.attr("y",y_fish(i.length+3))
-.attr("class","freq")
-.text(i.length)
-.property("bar", d.target)
-.style('font-size','0.7em');
-
- d3.select(d.target).style("cursor","pointer");// change the cursor
-document.getElementById("all-samples-fish")
-.querySelectorAll("td")
-.forEach(entry => {
-if (entry.value>= d.target.__data__.x0&&
- entry.value< d.target.__data__.x1){
- entry.style.color='red';
- }
- });
- })
-.on("mouseout", (d, i, nodes) => {
-// Mouse-out event: returns to the original configuration
-if (!d.target.flag) {
- d3.select(d.target).attr("fill","steelblue")
- d3.selectAll(".freq")
-.filter((e, j, texts) => {
-return texts[j].bar=== d.target;
- }).remove();
- d3.select(d.target).style("cursor","default");
-
-document.getElementById("all-samples-fish")
-.querySelectorAll("td")
-.forEach(entry => {
-if (entry.value>= d.target.__data__.x0&&
- entry.value< d.target.__data__.x1){
- entry.style.color='';
- }
- });
- }
- })
-.on("click", (d, i, nodes) => {
-// click event: lock/unlock the mouse over changes.
- d.target.flag=!d.target.flag;
-if (d.target.flag) {
- sampling_dist_fish.dispatch("mouseenter");
- }
-else {
- d3.select(d.target).attr("fill","steelblue");
- }
- });
-
-
-/** Append Subtitle */
- sampling_dist_fish.append("text")
-.text("Population Mean: 43.45")
-.attr("x",x_fish(28))
-.attr("y",y_fish(197))
-.attr("text-anchor","start")
-.attr("dy","6px")
-.attr("class","plot-subtitle");
-
-/** Button to Show/Hide Mean */
-let g = sampling_dist_fish.append("g")
-.on("mouseover",function (d) {
- d3.select(this).style("cursor","pointer");// change the cursor
- })
-.on("mouseout",function (d) {
- d3.select(this).style("cursor","default");
- })
-.on("click", (d, i, e) => {
- d.target.parentElement.clicked=!d.target.parentElement.clicked;
-let g_element = d3.select(d.target.parentElement);
-if (d.target.parentElement.clicked) {
- g_element.select("rect")
-.attr("fill","#c45149");
- g_element.select('text')
-.text('Hide true mean');
-
- g_element
-.append('line')
-.style("stroke","black")
-.style("stroke-width",3)
-.attr("x1", d =>x_fish(43.45))
-.attr("y1", d =>y_fish(0))
-.attr("x2", d =>x_fish(43.45))
-.attr("y2", d =>y_fish(185));
- }
-else {
- g_element.select("rect")
-.attr("fill","gray");
- g_element.select('text')
-.text('Show true mean');
-
- g_element.select("line").remove()
- }
- });
-
-/** Creates the rectangle of the button */
- g.append("rect")
-.attr("x",x_fish(28))
-.attr("y",y_fish(190))
-.attr("width",122)
-.attr("height",32)
-.attr("fill","gray")
-
- g.append("text")
-.text("Show true mean")
-.attr("text-anchor","left")
-.attr("x",x_fish(28.5))
-.attr("y",y_fish(181))
-.attr("fill","white")
-.style("font-size",'15px');
-
-
-
-/** Button to Reset */
-let reset = sampling_dist_fish.append("g")
-.on("mouseover",function (d) {
- d3.select(this).style("cursor","pointer");// change the cursor
- })
-.on("click", (d, i, e) => {
-var bins = d3.selectAll(".bin");
-for (var i =0; i < bins._groups[0].length; i++) {
-let bin = bins._groups[0][i];
- bin.flag=false;
- }
- bins.dispatch("mouseout");
- });
-
-/** Creates the rectangle of the button */
- reset.append("rect")
-.attr("x",x_fish(28))
-.attr("y",y_fish(170))
-.attr("width",122)
-.attr("height",32)
-.attr("fill","#e3732d");
-
-/** Add text to the button */
- reset.append("text")
-.text("Reset plot")
-.attr("x",x_fish(28) +61)
-.attr("y",y_fish(161))
-.attr("text-anchor","middle")
-.style("font-size",'15px')
-.attr("fill","white");
-
-}
-
-
-
-
-
-
-
-
-
Exercise: If you take a sample at random, what would be the probability that the mean of your sample is fairly close to the true mean, say between 40 and 46?
-
Exercise: True or False: Each time we take a random sample we will have a different sampling distribution.
-
-
-
-
-
Sampling Distribution
-
The sampling distribution of a statistic, like \(\overline{y}\) and \(\hat{p}\), is the distribution of the value of the statistic across all possible random samples of size \(n\) that could be selected from a given population.
-
-
-
Sampling Distribution
-
-
Some key questions:
-
-
What is the centre of the sampling distribution?
-
How spread is the sampling distribution?
-
What is the shape of the sampling distribution?
-
-
-
-
-
Sampling Distribution
-
-
As you can see, the sampling distribution tells us a lot about our statistic.
-
-
We could, for example, calculate the probability that our statistic would be to a certain range around the parameter.
-
-
-
-
-
Sampling Distribution
-
-
But how is this useful if we need to have access to all possible samples?
-
-
In this case, we would be better off just checking out the entire population.
-
-
-
-
-
Sampling Distribution
-
-
Luckily, we do not need to have access to all possible samples to know the sampling distribution.
-
All we need is a sample! The same sample you use to calculate the statistic will also give you information on the uncertainty of your estimate.