Q.11 - The Practice of Statistics for AP

Question

Doing homework Refer to Exercise 9. 

(a) Make a graph of the population distribution given that there are $3000$ students in the school. (Hint: What type of variable is being measured?) 

(b) Sketch a possible graph of the distribution of sample data for the SRS of size $100$ taken by the AP Statistics students. 

Step-by-Step Solution

Answer

a). The graph of the population distribution is 

b). A possible graph of the distribution of sample data is 

Part (a) Step 1: Given Information

There are $3000$ students in the school.

Part (a) Step 2: Explanation

We also know that $60\%$ of the students did all their assigned homework last week.

$60\%\times 3000=1800$

Thus we then know that $1800$ students did all their assigned homework last week, while $1200$ students did not.

All bars should be the same width and height, and the number of pupils should be the same:

Part (b) Step 1: Given Information

$100$ students are in the sample.

Part (b) Step 2: Explanation

We also know that approximately $60\%$ of the students did all their assigned homework last week.$60\%\times 100=60$

As a result, we know that around $60$ pupils completed all of their given homework last week, whereas approximately $40$ kids did not.

All bars should be the same width and height, and the number of pupils should be the same:

As a result, we know that around 60 pupils completed all of their given homework last week, whereas approximately 40 kids did not.