Question
Download Solution PDFFor a symmetric distribution, which of the following formula is not correct?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF- In a symmetric distribution, the mean, median, and mode are all equal.
- Therefore, the formula Mean = Mode + 1/3 (Mean - Median) cannot be correct for a symmetric distribution.
The other formulas are correct for a symmetric distribution.
Mean - Mode = 3 (Mean - Median)
- In a symmetric distribution, the mean is equal to the mode, and the median is halfway between the mean and the mode. Therefore, the mean - mode is equal to 3 (mean - median).
Mean = 1/2 (3 Median - Mode)
- In a symmetric distribution, the mean is equal to the median. Therefore, the mean is equal to 12 (3 median - mode).
Mean - Mode = 3/2 (Median - Mode)
- In a symmetric distribution, the mean is equal to the mode, and the median is equal to the mean. Therefore, the mean - mode is equal to 32 (median - mode).
Therefore, the correct answer is 3, Mean = Mode + 13 (Mean - Median).
Last updated on Jun 12, 2025
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