Preview - Sampling Distributions 2021

What is a Sampling Distribution?

Since we do a lot of small group work in AP Statistics, we’ve decided to sample 2 students from a group of 4 and take the average of their scores to get an estimate for how well students in this group performed on the exam. 

For this scenario, our population will be 4 students with the following scores: 3,4,5,5

Use the NetLogo model below to simulate choosing two students (n=2) at a time from this population (N=4).

1) Click "setup"  to start the model. If you are bothered by a person being cutoff on the edge of the screen, click "setup" again.

2) Click "collect sample" to choose your first sample, and record your results in the table below before pressing the button again.

3) Continue pressing "collect sample" and entering data into the table below until all possible samples have been chosen.

*Note: you may have to add additional rows to the data table. 

Questions

Please answer the questions below.

Calculate the sample mean for all possible samples of size 2 from this population. 

Create a dotplot of your results from question #2. Create your sketch below. 

Note: Draw your sketch in the sketchpad below

In most real-life situations, we cannot create the dotplot of all possible samples of size n from the entire population (size N). Why not?

Notes

These notes will appear on every page in this lesson so feel free to put anything here you'd like to keep track of.