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.
Histogram Choice C40Ce8
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