Statistics And Probability Question 57

Question: Mean of 100 observations is 45. It was later found that two observations 19 and 31 were incorrectly recorded as 91 and 13. The correct mean is

Options:

A) 44.0

B) 44.46

C) 45.00

D) 45.54

Show Answer

Answer:

Correct Answer: B

Solution:

Sum of 100 items = 45×100 = 4500 Sum of items added = 19 +31 = 50 Sum of items replaced = 91+ 13 = 104 New sum = $ 4500-104+50 $ = 4446 \ New mean $ =\frac{4446}{100} $ = 44.46