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Find the average of all odd positive integers bellow 100.
1. 53
2. 51
3. 49
4. 50

1 Answer

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Correct Answer - Option 4 : 50

Given:

The given numbers are 1, 3, 5, 7, ...., 99.

Formula used:

Average = Sum of observations/total number of observations

Sum of n odd numbers = n2

Total number of odd numbers = [(last number - first number)/2] + 1

Calculation:

Total number of odd numbers = [(99 - 1)/2] + 1

⇒ 49 + 1

⇒ 50

Sum of 50 odd numbers = 502

Average = 502/50

⇒ 50

∴ The average all odd numbers bellow 100 is 50.

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