Question

If for a frequency distribution, the mean is `3/4` times the median, then mode is ______.

Options

• equal to median

• `3/2` times the median

• equal to mean

• 3 times the mean

Answer 1

If for a frequency distribution, the mean is `3/4` times the median, then mode is `underlinebb(3/2 "times the median")`.

Explanation:

Given:

Mean = `3/4` Median

Substituting the value:

`Mode = 3 xx Median - 2 xx (3/4 Median)`

`Mode = 3 xx Median - 3/2 Median`

`Mode = (6 - 3)/2 Median`

`Mode = 3/2 Median`