Question

26)The mode and mean of given data are 9 and 6 respectively, then the median is​

Answer 1

Answer:

7

Step-by-step explanation:

Empirical relationship between mean median and mode is

$3(median) = 2(mean) +( mode)$

$3(median) = 2(6) + 9$

$3(median) = 12 + 9$

$median = \frac{21}{3}$

$\boxed{median = 7}$

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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