Question

If the difference of mode and median of the data is 24, find the difference of median and mean.

Answer 1

Solution:

Difference of mode and median = 24

So, Mode - Median = 24

-------------------(equation 1)

Now, solve for finding the difference of median and mean.

Mode = 3 Median - 2 Mean

=> Mode - Median = 2 Median - 2 Mean

=> 2(Median - Mean) = Mode - Median = 24

Using equation 1, we get

Median - Mean = 24 / 2

Therefore, Median - Mean = 12

Thus, the difference of median and mean is 12.

Answer 2

$\huge{\blue{\boxed{\boxed{\boxed{Question}}}}}$

if the difference of mode and median of the data is 24 find the difference of median and mean

$\huge{\green{\boxed{\boxed{\boxed{Answer}}}}}$

$<b>Solution : -</b>$

difference of mode and median is 24

so, Mode - median is equal to 24

....................equation (i).............................

Now, solve for finding the difference of median and mean.

=Mode =3 median -2 Mean

=Mode - Median = 2 Median -2 Mean

=2(median -Mean) = mode - median = 24

using equation 1 we get

mode - median = 24/2

=12