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AP Statistics 1.3 Representing a Categorical Variable with Tables- MCQs - Exam Style Questions

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Question

From a sample of 52 people, data were collected on each person’s age and film genre preference. The responses are shown in the table, classified by age-group.
Film Genre Preference by Age-Group
 13 to 25 years26 to 49 years50 years or olderTotal
Action73313
Drama39820
Comedy1001
Romance53412
Musical2136
Total18161852
What proportion of people in the sample preferred romance?
(A) \(\dfrac{6}{52}\)
(B) \(\dfrac{8}{52}\)
(C) \(\dfrac{12}{52}\)
(D) \(\dfrac{16}{52}\)
▶️ Answer/Explanation
Detailed solution
Proportion \( \,=\, \dfrac{\text{number who preferred Romance}}{\text{total in sample}} \).
Substitute \( \dfrac{12}{52} \).
From the table, the Romance row total is \(12\).
The overall sample size is \(52\).
Therefore, the proportion is \(\dfrac{12}{52}\).
✅ Answer: (C)
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