Maths · Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data
If the mode of a distribution is 18 and the mean is 24 , then median is
If the mode of a distribution is 18 and the mean is 24 , then median is
- A. 18
- B. 24
- C. 22
- D. 21
Step-by-step solution
Using the empirical relationship for a moderately skewed distribution: Mode = 3 Median - 2 Mean. Substituting Mode = 18 and Mean = 24 gives 18 = 3 Median - 48, so 3 Median = 66, hence Median = 22.
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