Question

The mean and median of 100 observations are 50 and 52 respetively. The value of the largest observation is 100. Find the the true mean and median.

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Answer 1

Step-by-step explanation:

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

=5010

∴ The real or true mean value is 50.10

The real or true mean value is 50.10 Median value is 52