If the difference of mode and median of a data is 24, then the difference of median and mean is ____.

Solution:

Given, If the difference of mode and median of a data is 24, then the difference of median and mean is 12. The difference of mode and median of a data is 24 The relationship between Mean, Median, Mode is, Mode = 3 (Median) - 2 (Mean) Given, mode - median = 24 mode = 24 +median  ........ (1) Also, mode = 3 (median) - 2 (mean) ..... (2) Equation (1) = Equation (2) 24 +median = 3 (median) - 2 (mean) 24 = 3 median - 2 mean - median 2 median - 2 mean = 24 median - mean = 12 Hence, the difference of median and mean is 12 Also Check

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