The mean of $20$ observations is $18$. If each observation is multiplied by $2$, the new mean is:

The mean of $20$ observations is $18$. If each observation is multiplied by $2$, the new mean is:
  1. $18$
  2. $20$
  3. $36$
  4. $40$

Solution

Multiplying every value by a constant $k$ multiplies the mean by $k$. New mean $= 2\times 18 = 36$.

Asked in: IMO

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