The mean of five numbers is 27. If one number is excluded, their mean is 25. Find the excluded number.

Given:

The mean of five numbers is 27. 

When one number is excluded, their mean is 25. 

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 $= 27$

This implies,

Total $= 27 \times 5$

$= 135$

When one number is excluded, their mean is 25. 

This implies,

Total of 4 numbers $= 4 \times 25$

$= 100$

Therefore,

Excluded number $= 135 - 100$

$= 35$

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Updated on: 10-Oct-2022

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