Statistics And Probability Question 340

Question: The mean of five numbers is 30. If one number is excluded, their mean becomes 28. The excluded number is

Options:

A) 28

B) 30

C) 35

D) 38

Show Answer

Answer:

Correct Answer: D

Solution:

[d] Mean of 5 numbers = 30
$ \therefore $ Total sum of 5 numbers $ =30\times 5=150 $ After excluded one number Mean of 4 number will be = 28
$ \therefore $ Total sum of 4 numbers $ =4\times 28=112 $ Thus, excluded number = (sum of 5 numbers - sum of 4 numbers) $ =150-112=38 $