The mean of 5 numbers is 18. If one number is excluded, their mean is 16. Find the excluded number.

Given:

The mean of 5 numbers is 18. 

When one number is excluded, their mean is 16.

To do:

We have to find the excluded number.

Solution:

We know that,

Mean $\overline{X}=\frac{Sum\ of\ the\ observations}{Number\ of\ observations}$

Mean of 5 numbers $= 18$

Total of 5 numbers $= 18 \times 5$

$= 90$

When one number is excluded, their mean is 16.

This implies,

Total of 4 of the numbers $= 16 \times 4$

$= 64$

Therefore,

Excluded number $= 90 - 64$

$= 26$

The excluded number is 26.

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Updated on: 10-Oct-2022

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