Question

A pie company randomly surveys 60 customers to determine which type of pie they would purchase.

The results of the survey are shown.

Favorite Type of Pie

Peach

25%

Apple

331%

Other

20%

Cherry

The company expects to sell 65 cherry pies in March.

Based on the survey results, how many whole peach pies should the company expect to sell in March?

Answer 1

Explained below.

Explanation:

Construct the frequency distribution from the percentage distribution as follows:

Favorite Type of Pie Percentage Frequency

Peach 25% 25% of 60 = 15

Apple 31% 31% of 60 = 18.6

Other 20% 20% of 60 = 12

Cherry 24% 24% of 60 = 14.4

TOTAL 100% 60

It is provided that the company expects to sell 65 cherry pies in March.

The total number of people buying pies is:

`\#\text{People buying Cherry pies}=\#\text{People buying pies}* 0.24\\\\\#\text{People buying pies}=(65)/(0.24)\\\\\#\text{People buying pies}=270.833`

Now compute the number of peach pies should the company expect to sell in March as follows:

`\#\text{Peach pies expected to be sold}=270.833* 0.25 =67.7\approx 68`