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.

Question

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

45
45

41

Answer 1

To estimate how many students in the entire school prefer orange sherbet based on Pablo's sample, we can use the proportion of students who preferred orange sherbet in the sample and apply it to the total number of students in the school.

In Pablo's survey, 10 out of the 130 surveyed students preferred orange sherbet. First, we'll find the proportion:

\[ \text{Proportion of orange sherbet lovers} = \frac{10}{130} \approx 0.0769 \]

Next, we'll use this proportion to estimate the number of students who prefer orange sherbet in the entire school of 528 students:

\[ \text{Estimated number of students preferring orange sherbet} = 0.0769 \times 528 \approx 40.7 \]

Since we can't have a fraction of a student, we round this to the nearest whole number, which gives us approximately 41 students.

Thus, the answer is 41.