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Given that the mean of five numbers is 28. If one of them is excluded, the mean gets reduced by 5. Determine the excluded number.
1. 46
2. 47
3. 45
4. 48

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Correct Answer - Option 4 : 48

Given:

The mean of 5 numbers is 28

One number is excluded so mean decreased by 5 i.e. 23

Formula Used:

Sum of numbers = Mean × No. of numbers

Calculation:

⇒ Sum of the 5 numbers = 5 × 28 = 140

Mean of 4 numbers is 23

⇒ Sum of the remaining four numbers = 4 × 23 = 92

∴ Excluded number = 140 – 92 = 48  

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