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