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The mean of the data set comprising of 1...

The mean of the data set comprising of 16 observations is 16 . If one of the observation valued 16 is deleted and three new observations valued 3, 4 and 5 are added to the data then mean of the resultant data is :

A

16.8

B

`16.0`

C

15.8

D

`14.0`

Text Solution

Verified by Experts

The correct Answer is:
D
`(x_(1)+x_(2)+..+x_(16))/(16)=16`
If `x_(i)=16`
`(x_(1)+x_(2)+..+x_(10)-16+3+4+5)/(18)`
`=(16xx10-16+12)/(18)=14`
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