The mean of five numbers is 18. If one number is excluded, then their mean is 16, the excluded number is _____? - IQ786

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The mean of five numbers is 18. If one number is excluded, then their mean is 16, the excluded number is _____?

The mean of five numbers is 18. If one number is excluded, then their mean is 16, the excluded number is _____?

24

26

33

22

Explanation

Mean of $5$ numbers $= 18$
$\Rightarrow$ Sum of these $5$ numbers $= 18 \times 5 = 90$

Let number that has been excluded be $x$
New mean $= \frac{9 0 - x}{4} = 16$

Solving this, we get
$90 - x = 64$
$∴ x = 26$