Question

If median of a frequency distribution is 12 and mode is 13 then its mean will be

Answer 1

Answer:

This is answer please see this photo

Answer 2

Given,

Median of a frequency distribution = 12

Mode of a frequency distribution = 13

To Find,

Mean of the frequency distribution =?

Solution,

To find the mean, we can use the relation between mean, median, and mode.

The relation is,

$Mode = 3Median - 2Mean$

Here,

$Mode = 13$

$Median = 12$

Substituting the values in the above formula,

$13 = 3(12) - 2Mean$

$13 = 36 - 2Mean$

$13 - 36 = - 2Mean$

$-23 = -2Mean$

$Mean = \frac{23}{2}$

$Mean = 11.5$

Hence, the mean of the frequency distribution is 11.5.