Statistics And Probability Question 557

Question: The A.M. of a 50 set of numbers is 38. If two numbers of the set, namely 55 and 45 are discarded, the A.M. of the remaining set of numbers is

[Kurukshetra CEE 1993]

Options:

A) 38.5

B) 37.5

C) 36.5

D) 36

Show Answer

Answer:

Correct Answer: B

Solution:

Given, $ \frac{\Sigma x_{i}}{50}=38,,\therefore \Sigma x_{i}=1900 $ New value of $ \Sigma x_{i}=1900-55-45 $ $ =1800 $ , $ n=48 $ \ New mean $ =\frac{1800}{48} $ $ =37.5 $ .