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.

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

110
110

195
195

45
45

41
41
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Answer 1

To estimate the number of students in the school who prefer orange sherbet based on the survey results, you can use the following steps:

1. **Determine the proportion of students who prefer orange sherbet based on the survey**:
- The number of students who prefer orange sherbet in the survey is 10.
- The total number of students surveyed is 130.
- The proportion is calculated as follows:

\[
\text{Proportion of orange sherbet preference} = \frac{10}{130} = \frac{1}{13}
\]

2. **Estimate the total number of students in the school**:
- The total number of students in the school is 528.

3. **Apply the proportion to the entire school**:
- To find the estimated number of students who prefer orange sherbet in the whole school, multiply the total number of students by the proportion found in the survey:

\[
\text{Estimated number of students who prefer orange sherbet} = \frac{1}{13} \times 528 \approx 40.5
\]

Rounding to a practical number, we estimate this to be approximately 41 students.

Therefore, the answer is **41**.