Question

.Mode and mean of the given data is 9 and 6 respectively

then the median is​

Answer 1

Given :- Mode and mean of the given data is 9 and 6 respectively then the median is ?

Solution :-

we know that, the empirical relationship between Mean, Median and Mode is :-

• Mean - Mode = 3 (Mean - Median)

given that,

• Mode = 9
• Mean = 6

so, putting both values we get,

→ Mean - Mode = 3 (Mean - Median)

→ 6 - 9 = 3(6 - Median)

→ (-3) = 3(6 - Median)

→ (-1) = 6 - Median

→ Median = 6 + 1

→ Median = 7 (Ans.)

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Answer 2

Given : The mode and mean is given by 9 and 6 respectively

To Find : median

Solution:

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

Mean – Mode = 3 (Mean – Median)

=> Mode = 3 Median - 2 Mean

it was  given by Karl Pearson

Mode =9

Mean  = 9

9 = 3 * Median - 2 * 6

=>9 = 3 * Median  - 12

=> 21 = 3 * Median

=> Median = 21/3

=>  Median = 7

median is  7

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