How do you find the mean and standard deviation of the data set 82, 44, 67, 52, 120?

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Answer 1 · 2017-06-23T12:15:20

Mean is #73.0# , standard deviation is # 26.86#

Data set : #{82,44,67,52,120}#

Mean is the average of Data set, #M= 82+44+67+52+120 =365/5=73.0#

Standard deviation is square root of variance#(sigma^2)# , #SD=sqrt(sigma^2)#

Variance is The average of the squared differences from the Mean.

#sigma^2 = ((82-73)^2+(44-73)^2+(67-73)^2+(52-73)^2+(120-73)^2)/5# or
#sigma^2 =(81+841+36+441+2209)/5 = 3608/5= 721.6 :.#

#SD= sqrt(sigma^2) = sqrt 721.6 ~~ 26.86#

Mean is #73.0# , standard deviation is # 26.86# [Ans]