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 45 110 110 41 41 195

Answer 1

To determine the approximate number of students in the school who prefer orange sherbet based on Pablo's survey data, we can use the proportion of students who selected orange sherbet in the sample and apply it to the total student population.

In Pablo's survey:

• Total number of surveyed students = 130
• Students who prefer orange sherbet = 10

To find the proportion of students who prefer orange sherbet: \[ \text{Proportion for orange sherbet} = \frac{10}{130} = \frac{1}{13} \]

Now, to estimate the number of orange sherbet preferers in the entire school (528 students): \[ \text{Estimated number of students who prefer orange sherbet} = \text{Total students} \times \text{Proportion} \] \[ = 528 \times \frac{1}{13} \]

Calculating this: \[ 528 \div 13 \approx 40.615384615 \] Rounding to the nearest whole number, we conclude approximately 41 students prefer orange sherbet.

Thus, the correct response is 41.