find the median, mode, mean of the data 65-85,85-105105-125,125-145,145-165,165-185,185-205, frequency 4,5,13,20,14,8,4
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Answer:
We have, n=68
2n=34
The cumulative frequency just greater than
2n
is 42 and the corresponding class is 125−145.
Thus,125-145$$ is the median class such that
2n
=34,l=125,f=20,cf=22, and h=20
Substituting these values in the formula
Median, M=l+N/2-cf/f×h
M=125+( 34-22/20)×20
M=125+12=137 units
Mean=135+2.05=137.05
Therefore, Mean =137.05 units
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