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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 the 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
Given, `(x_(1)+x_(2)+x_(3)+ …. +x_(16))/(16)=16`
`rArr sum_(i=l)^(16) x_(i) =16 xx 16`
Sum of new observation
`=sum _(i=1)^(18)y_(l) =(16xx16-16)+(3+4+5)=252`
Number of obervations `= 18`
` therefore " New mean "=(sum_(i=l)^(18) y_(i))/(18)=(252)/(18)=14`
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