Question

If the difference of mode and median of a data is 24, then the difference of medina and mean is
A. 12
B. 24
C. 8
D. 36

Answer 1

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(A) 12

Answer 2

A. 12

Step-by-step explanation:

Mode - median = 24

Find Median - mean.

we have to use the relationship between mean, median and mode for a moderately skewed distribution as

Mode = 3 Median - 2 Mean

Mode =  Median + 2median - 2 mean

Mode - median = 2 (median - mean)

24 = 2 (median - mean)

Therefore median - mean = 24 / 2 = 12

Difference between median and mean is 12.

Option A is the answer.