Question

Doing homework A school newspaper article claims that $60\%$of the students at a large high school completed their assigned homework last week. Assume that this claim is true for the $2000$students at the school.

a. Make a bar graph of the population distribution.

b. Imagine one possible SRS of size $100$from this population. Sketch a bar graph of the distribution of sample data.

Short answer

a. The bar graph :

b. The bar graph is

Step-by-step solution

Part(a) Step 1 : Given information

We need to make bar graph for the students doing homework or not.

Part(a) Step 2 : Simplify

As we know, $60\%$student completed homework. Therefore,

$100\%-60\%=40\%$students did not complete their work.

So, in bar graph the width of bars will be equal and height of bars should be equal to their percentage.

The bar graph is

Part(b) Step 1 : Given information

We need to draw bar graph for one possible SRS of $100$ from total population.

Part(b) Step 2 : Simplify

As we know, $60\%$ students completed their work. Now,

We have $100$students in a random sample, so it means nearly $60\%$students did their work but not exact $60$.

Lets take an example , it is possible that $57$students did their work.

Now, the width of bar graphs would be same and height will be equal to their respective frequencies.

The frequency bar graph is :