If arithmetic mean of a series is 45 and median is 40, then calculate the value of mode of that series
Answers
Given : arithmetic mean of a series is 45 and median is 40
To Find : calculate the value of mode of that series.
Solution:
if distribution is Normal then Mean = Median = Mode
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
Mode = 3 median - 2 mean
Mean = 45
Media = 40
=> Mode = 3(40) - 2(45)
=> Mode = 120 - 90
=> Mode = 30
value of mode of that series. = 30
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Given :
arithmetic mean of a series is 45 and median is 40
To Find :
calculate the value of mode of that series.
Solution:
if distribution is Normal then Mean = Median = Mode
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
Mode = 3 median - 2 mean
Mean = 45
Media = 40
=> Mode = 3(40) - 2(45)
=> Mode = 120 - 90
=> Mode = 30
value of mode of that series. = 30