Question

The mean and median of 100 observation are 50 and 52 respectively.The value of the largest observation is100.It was later found that it is 110 not 100 .find the true mean and median

Answer 1

Mean =

$\frac{sum\: of all\: obeservtion}{total \: no \: of \: observations}$

Old mean = 50

sum. of observations= 50x100=5000

New sum =5000+10=5010

new mean= 5010/100 = 50.1

new mode= 110

median remains same

Answer 2

Mean =

\frac{sum\: of all\: obeservtion}{total \: no \: of \: observations}

total no ofobservations/
sumofallobeservtion

mean = sum =5000+10=5010

new mean= 5010/100 = 50.1

new mode= 110

median remains same