The mean of $5$ numbers is $20$. If one number $32$ is removed, the mean of the remaining $4$ numbers is:

The mean of $5$ numbers is $20$. If one number $32$ is removed, the mean of the remaining $4$ numbers is:
  1. $15$
  2. $17$
  3. $18$
  4. $20$

Solution

Sum of $5$ numbers $= 5\times 20 = 100$. Sum of remaining $4 = 100-32 = 68$. New mean $= \dfrac{68}{4} = 17$.

Asked in: IMO

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