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  4. The mean weight of 9 items is 15 . If one more item is added to the series, the mean becomes 16 Then find value of 10 text th item.

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Q. The mean weight of $9$ items is $15$ . If one more item is added to the series, the mean becomes $16$ Then find value of $10^{\text {th }}$ item.

Statistics

Solution:

$\frac{\Sigma x _{ i }}{9}=15$
$ \Rightarrow \Sigma x _{ i }=135$
$\frac{\Sigma x _{ i }{ }'}{10}=16$
$ \Rightarrow \Sigma x _{ i }{ }'=160$
$10^{\text {th }}$ date $=\Sigma x _{ i }{ }'-\Sigma x _{ i }$
$=160-135=25$