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

Question:

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

Solution:

The mean of five numbers is 27

The sum of five numbers = 5 × 27 = 135

If one number is excluded, the new mean is 25

∴ Sum of 4 numbers = 4 × 25 = 100

∴ Excluded number = 135 – 100 = 35

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