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Question

Question 11
The mean of five numbers is 30. If one number is excluded, their mean becomes 28. The excluded number is:

A) 28
B) 30
C) 35
D) 38

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Solution

The answer is D.
Let the numbers be x1,x2,x3,x4 and x5.
Given, mean of the five numbers = 30
x1+x2+x3+x4+x55=30
x1+x2+x3+x4+x5=150
x1+x2+x3+x4=150x5
On dividing both sides by 4, we get,
x1+x2+x3+x45=150x54(i)
Given, mean of the four numbers = 28
150x54=28 [from Eq. (i)]
150x5=112
x5=150112
x5=38
Hence, the excluded number is 38.

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