Question

the mean and median of a data are 14 and 16 respectively .the value of mode is

Answer 1

Given:Mean=14

Median=16

Now WKT

Mode=3(Median)-2(Mean)

Thus Mode=3(16)-2(14)

=48-28

=20

Thus,Mode is 20

Answer 2

Value of Mode = 20 if the mean and median of a data are 14 and 16 respectively

Step-by-step explanation:

When the frequencies are not properly distributed it is called as an asymmetrical / skewed distribution.

If it is moderately asymmetrical distribution

the below mentioned empirical relationship holds good

Mode = 3 median - 2 mean

it was  given by Karl Pearson

Median = 16

Mean = 14

Mode = 3 * 16 - 2 * 14

=> Mode = 48 - 28

=> Mode = 20

Value of Mode = 20

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