1.

The mean of 8 numbers is 25. if 5 is subtracted from each number, what will be the new mean ?

Answer» Let the given numbers be ` ,x_(1),x_(2),…,x_(3)`
Then, the mean of these numbers = `((x_(1) +x_(2) +….+x_(3))/8`
`(x_(1)+x_(2)+....+x_(3))/8=25Rightarrow(x_(1)+x_(2)+....+x_(8))=200`
The new numbers are `(x_(1) -5) ,(x_(2) -5) ,…..,(x_(8)-5)`
The new numbers are `((x_(1) -5) +(x_(2)-5) +......+(x_(8)-5))/ 8`
`((x_(1)+x_(2)+....+x_(3))-40)/8=(200-40)/8`
= ` 160/8 =20`
Hence, the new mean is 20.


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