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Question

Question 12
If the mean of the observations x, x+3, x+5, x+7 and x+10 is 9, then mean of the last three observation is:

A) 1013
B) 1023
C) 1113
D) ​​​​​​​1123​​​​​​​

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Solution

The answer is C.
Given that, the mean of the observations
x,x+3,x+5,x+7 and x+10 is 9.
x+x+3+x+5+x+7+x+105=9
5x+25=45
5x=20
x=4
Last three observations are x+5=4+5=9,x+7=4+7=11
And x+10=4+10=14
So, the mean of last three observations =9+11+143=343=1113
Hence, the mean of last three observations is 1113.

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