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 110 110 45 45 41 41 195 195 Skip to navigation
Answers
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GPT-4o mini
To estimate how many students in the entire high school prefer orange sherbet based on Pablo's survey data, we can use the proportion of students who preferred orange sherbet in the sample.
From the survey, the number of students who preferred orange sherbet is 10 out of a sample of 130 students. First, we can calculate the proportion of students in the survey who prefer orange sherbet:
\[
\text{Proportion of orange sherbet fans} = \frac{10}{130} = \frac{1}{13}
\]
Next, we use this proportion to estimate the number of students in the high school who prefer orange sherbet. Since there are 528 students in total, we multiply this proportion by the total number of students:
\[
\text{Estimated number of orange sherbet fans} = \frac{1}{13} \times 528
\]
Calculating this gives:
\[
\text{Estimated number of orange sherbet fans} = 528 \div 13 \approx 40.615
\]
Rounding this to the nearest whole number, we find that approximately 41 students in the school prefer orange sherbet.
Therefore, the correct response is **41**.
From the survey, the number of students who preferred orange sherbet is 10 out of a sample of 130 students. First, we can calculate the proportion of students in the survey who prefer orange sherbet:
\[
\text{Proportion of orange sherbet fans} = \frac{10}{130} = \frac{1}{13}
\]
Next, we use this proportion to estimate the number of students in the high school who prefer orange sherbet. Since there are 528 students in total, we multiply this proportion by the total number of students:
\[
\text{Estimated number of orange sherbet fans} = \frac{1}{13} \times 528
\]
Calculating this gives:
\[
\text{Estimated number of orange sherbet fans} = 528 \div 13 \approx 40.615
\]
Rounding this to the nearest whole number, we find that approximately 41 students in the school prefer orange sherbet.
Therefore, the correct response is **41**.