Question

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.

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

45
45

195
195

41
41

110
110
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Answer 1

To find out how many students in the school prefer orange sherbet based on Pablo's survey, we can use the proportion of students who prefer orange sherbet in the sample to estimate the total number of students who prefer that flavor in the entire school.

1. From the survey, we see that 10 out of 130 students prefer orange sherbet.
2. To find the proportion, we calculate:
\[
\text{Proportion of orange sherbet lovers} = \frac{10}{130} = \frac{1}{13}
\]
3. Now we want to estimate how many of the 528 students in the school prefer orange sherbet:
\[
\text{Estimated number of students preferring orange sherbet} = \frac{1}{13} \times 528
\]
4. Calculating this gives:
\[
\frac{528}{13} \approx 40.6153846
\]

Since we typically round to the nearest whole number, we can round this to approximately 41.

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