Question

If the difference between mean and mode is 63, the difference between mean and median is
a.189
b.21
c.31.5
d.48.5

Answer 1

Mode - mean = 63

Mode = 63 + mean

Mode = 3median - 2mean [formula]

63 + mean = 3median - 2mean

63 + mean + 2mean = 3median

3mean + 63 = 3median

3median - 3mean = 63

Divide the equation by 3, we get

Median - mean = 21

So your answer is option b. 21

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Answer 2

Answer:

Step-by-step explanation:

Given that mode - median = 63

mode = median + 63 ..........(1)

By the formula

Mode = 3 Median - 2 Mean

median + 63 = 3 median - 2 mean [ from (1) ]

2 median - 2 mean = 63

median- mean = 31.5