The mode of a distribution is 12 and the mean is 3 then the median is.
Answers
Step-by-step explanation:
3Median=Mode+2Mean
3Median=12+2(3)
=12+6
=18
Median =6
Given : The mode of a distribution is 12 and the mean is 3
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 = 12
Mean = 3
=> 12 = 3(Median) - 2(3)
=> 12 + 6 = 3(Median)
=> 18 = 3(Median)
=> 6 = Median
the median is 6
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