Question

There are 528 students in Pablo’s high school. Pablo surveys 130 randomly chosen students about their favorite ice cream flavor. The results are as follows.

Number of Students Who Prefer Each Ice Cream Flavour Based on a Survey
Ice cream flavor Number of students/Frequency
Strawberry 29
Butter Pecan 31
Chocolate 43
Orange Sherbet 10
Vanilla 17
Based on Pablo’s sample data, approximately how many students in the school prefer orange sherbet?

(1 point)
Responses

195
195

110
110

41
41

45

Answer 1

To find the approximate number of students in the entire school who prefer orange sherbet based on Pablo's survey data, we can use the proportion of students who preferred orange sherbet in the survey and apply it to the total number of students in the school.

From the survey:

- Total surveyed students: 130
- Students who preferred orange sherbet: 10

First, calculate the proportion of students who preferred orange sherbet:

\[
\text{Proportion} = \frac{\text{Number of students who prefer orange sherbet}}{\text{Total surveyed students}} = \frac{10}{130} = \frac{1}{13}
\]

Next, apply this proportion to the total number of students in the school:

\[
\text{Approximate number of students in the school who prefer orange sherbet} = \text{Total students} \times \text{Proportion} = 528 \times \frac{1}{13}
\]

Calculating this:

\[
528 \div 13 \approx 40.615 \approx 41
\]

Therefore, based on Pablo's sample data, approximately **41 students** in the school prefer orange sherbet.

The correct response is:

**41**