Arithmetic mean of 100 items of a series is 40 Later on, it was discovered that two values of - Economics - Measures of Dispersion

Question

Arithmetic mean of 100 items of a series is 40 Later on, it was
discovered that two values of 53 and 24 were wrongly taken in place
of 35 and 22 Find out the correct mean

Neha Chopra · Accepted Answer

Dear Student,

When Arithmetic mean of 100 items is given as 40 that means sum of
observations = 100×40 = 4,000

Two values 53 & 24 were wrongly taken in place of 35 & 22;
so correct mean would be as follows:

Mean = 4,000 - 53+24+35+22100= 39 80
Regards,

Arithmetic mean of 100 items of a series is 40. Later on, it was discovered that two values of 53 and 24 were wrongly taken in place of 35 and 22. Find out the correct mean.