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Question
If each observation of the data is decreased by 8 then their mean
If each observation of the data is decreased by 8 then their mean
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Solution
The correct option is B is decreased by 8
Let n observations be x1, x2,…, xn, whose mean is ¯x
If each observation is decreased by 8, then the observations are x1−8, x2−8,…, xn−8
New mean, =(x1−8)+(x2−8)+…+(xn−8)n
= (x1+x2+…+xn)−8nn
= ¯x−8
is decreased by 8
Let n observations be x1, x2,…, xn, whose mean is ¯x
If each observation is decreased by 8, then the observations are x1−8, x2−8,…, xn−8
New mean, =(x1−8)+(x2−8)+…+(xn−8)n
= (x1+x2+…+xn)−8nn
= ¯x−8
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