Subjects statistics

Histogram Choice C40Ce8

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1. The problem is to identify which histogram best represents the frequency distribution of reaction times grouped into 8 classes. 2. The given class intervals and frequencies are: Class 1: 278 - 310, Frequency = 4 (calculated from data, not explicitly given) Class 2: 311 - 343, Frequency = 6 (approximate from data) Class 3: 344 - 376, Frequency = 3 Class 4: 377 - 409, Frequency = 5 Class 5: 410 - 442, Frequency = 7 Class 6: 443 - 475, Frequency = 4 Class 7: 476 - 508, Frequency = 1 Class 8: 509 - 541, Frequency = 2 3. From the problem statement, the frequencies for classes 3 to 8 are given as: Class 3: 3 Class 4: 5 Class 5: 7 Class 6: 4 Class 7: 1 Class 8: 2 4. The histogram bars peak at classes 2 and 5 with frequencies approximately 6 and 7 respectively. 5. Comparing the options: - Option A: Peaks at classes 2 and 5 with frequencies about 6 and 7. - Option B: Peaks at classes 3 and 6 with frequencies about 7 and 6. - Option C: Peak at class 5 near 7 and smaller peak at class 1 near 6. - Option D: Balanced distribution with small peaks at classes 2 and 6 around 5. 6. Since the data shows peaks at classes 2 and 5 with frequencies 6 and 7, the histogram that matches this description is Option A. Final answer: The histogram described in option A best represents the data.