What is the mean, median, and mode of the following distribution
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this question, total frequency(N) = 5+15+20+30+20+8=98
So,N2=49
If, we calculate cumulative frequency that is equal to or just greater than 49, it comes 70, making 90−99 our median class.
As, 70 is the less than type cumulative frequency corresponding to the class boundary 89.5
So, lower class boundary(l)=89.5
Cumulative frequency of the class preceding the median class(F)=40
Frequency of median class(f)=30
Interval(i)=10
We know, Median =(l+(N2)−Ff)∗i
Putting above values in formula,
Median = 89.5+(49−4030)∗10
=89.5+9∗1030
Median=89.5+3=92.5
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