The average of five numbers is $27$ . If one number is excluded, the average becomes $25$ . The excluded number is:

25

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27

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30

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35

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Solution

The correct option is C $35$
Given
$27 = \frac{a_{1} + a_{2} + a_{3} + a_{4} + a_{5}}{5}$ ....(i)
$⟹ 135 = a_{1} + a_{2} + a_{3} + a_{4} + a_{5}$
$25 = \frac{a_{1} + a_{2} + a_{3} + a_{4}}{4}$
$⟹ 100 = a_{1} + a_{2} + a_{3} + a_{4}$ ....(ii)
$∴ 135 = 100 + a_{5}$
$∴ a_{5} = 35$
Hence, Excluded number is $35$

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Similar questions

The mean of five numbers is $27$ .If one number is excluded their mean is $25$ . find the excluded number.

5

27

25

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