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

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

41
41

45
45

195
195

110

Answer 1

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

1. Find the proportion of students who prefer orange sherbet in the sample:

   • Number of students who prefer orange sherbet in the sample: 10
   • Total students surveyed: 130

   So, the proportion of students who prefer orange sherbet is: \[ \frac{10}{130} = \frac{1}{13} \]

2. Apply this proportion to the total number of students in the school:

   • Total students in the school: 528

   Therefore, the estimated number of students who prefer orange sherbet in the school is: \[ \text{Estimated students} = \frac{1}{13} \times 528 \]

   Doing the calculation: \[ \text{Estimated students} = 528 \div 13 = 40.61538461538461 \approx 41 \]

Thus, the approximate number of students in the school who prefer orange sherbet is 41.