Question

Median of 10 observations is 55 if the largest value of observation increases by 100 to 110 than what is the 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=∑X/100

∑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

=5010/100

=50.10

∴ The real or true mean value is 50.10

Median value is 52

Step-by-step explanation:

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