Question

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

Answer 1

Answer:

The mean and median of 100 items are 50 & 52  

respectively. The value of the largest items  

is 100. It was later found that it is 110.

The true mean and median are ________

Sol we know that Arithmetic mean =∑X/N

Given Mean =50

N=100

i.e, 50=  

100

∑X

​  

 

∑X=5000

Later found that it is 110

So the 100 items is wrong value  

correct A.M = [∑X (wrong) + correct value of observation −

Incorrect value of observation]/N

correct Mean =[5000+110−100]/100

=[5110−100]/100

=  

100

5010

​  

=50.10

∴ The real or true mean value is 50.10  

Median value is 52