The arithmetic mean of 100 observations is 24. 6 is added to each of the observations and then each of them is multiplied by 2.5. Find the new arithmetic mean.

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Solution

The correct option is B 75
Initial mean = 24
If each number added by 6, then mean is added by ‘6’ then if each number is multiplied by 2.5 then mean multiplied by 2.5
New mean = (24+6) $\times$ 2.5 = 75

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