here 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

This table presents the number of students who prefer each ice cream flavor 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

41
41

110
110

45
45
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Answer 1

To estimate the total number of students in the high school who prefer orange sherbet based on the survey, we can use proportions.

First, calculate the proportion of students in the survey who prefer orange sherbet:

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

Now, we can find this proportion:

\[ \frac{10}{130} = \frac{1}{13} \approx 0.0769 \]

Next, we multiply this proportion by the total number of students in the school (528):

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

Rounding this to the nearest whole number, we get approximately 41 students.

Thus, based on Pablo’s sample data, approximately 41 students in the school prefer orange sherbet.