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

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

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The correct Answer is:
14
Given, `(x_(1)+x_(2)+x_(3)+.......+x_(16))/(16)=16 rArr sum_(i=1)^(16)x_(i)=16xx16`
Sum of new observation
`sum_(i=1)^(18)y_(i)=(16xx16-16)+(3+4+5)=252`
Number of observations `= 18 therefore ` New mean `=(sum_(i=1)^(18)y_(i))/(18)=(252)/(18)=14`
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