Question

In moderately asymmetrical distribution the value of mean and mode is 15 and 18 respectively .find out the value of median

Answer 1

3 median = mode + 2 mean

median = (mode + 2mean) ÷3=

(15+2×18)÷3

=(15+36)÷3

=51÷3 = 17

Median = 17

Answer 2

Given,

• Mean of the observation = 15
• Mode of the observation = 18

To find,

• We have to find the value of the median.

Solution,

In moderately asymmetrical distribution the value of mean and mode is 15 and 18 respectively then the value of the median is 16.

We can simply find the value of the median by using the Euler formula,

    Mode = 3 median - 2 mean

    (Mode +2 mean)/3 = median

              [18 + 2(15)]/3 = median

               [18 +30]/3    = median

                        48 /3   = median

                           16    = median

Hence, in moderately asymmetrical distribution the value of mean and mode is 15 and 18 respectively then the value of the median is 16.