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The mean of 16 numbers is 8. If 2 is added to every number, what will be the new mean? |
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Answer» Let the given numbers be `x_(1),x_(2),x_(3),…., x_(16)` Then , the mean of these numbers = `( x_(1) +x_(2)+x_(3) +….+x_(16))/16` `( x_(1) +x_(2)+x_(3) +….+x_(16))/16 =8 ` `Rightarrow (x_(1) +x_(2)+x_(3) +….+x_(16)) =128` The new numbers are `(x_(1) +2) ,(x_(2) +2),(x_(3)+2) ,.....,(x_(16) +2)` mean of the new numbers `((x_(1)+2)+(x_(2)+2)+(x_(3)+2)+.....+(x_(16)))/16` `((x_(1)+x_(2)+x_(3)+....+x_(16))+32)/16=((128+32))/16` `160/16 = 10` Hence, the new mean is 10. |
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