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

195
195

110
110

41
41

45

:)

1 answer

To estimate the number of students in the school who prefer orange sherbet based on Pablo's survey, we can use the proportion of surveyed students who prefer orange sherbet and multiply it by the total number of students in the school.

From the survey, the number of students who prefer orange sherbet is 10 out of 130 surveyed students. To find the proportion:

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

Now, we can estimate the number of students in the entire school who prefer orange sherbet by multiplying this proportion by the total number of students in the school (528):

\[ \text{Estimated number of students preferring orange sherbet} = \frac{10}{130} \times 528 = \frac{10 \times 528}{130} \]

Calculating this:

\[ = \frac{5280}{130} \approx 40.615 \]

Rounding this to the nearest whole number gives us approximately 41 students.

Therefore, the answer is:

41