Correct Answer - Option 2 : 50
Given:
The all odd number up to 100
Concept:
The sum of consecutive odd number up to N terms
1 + 3 + 5 + 7 + . . . . . + N terms = N2
Average = (Sum of all observation/number of observation)
Calculation:
The all odd number up to 100
1, 3, 5, 7, . . . . 99
The number o observation(N) is
⇒ (99 + 1)/2 = 100/2 = 50
The sum of all odd number up to 100 is
⇒ 1 + 3 + 5 + 7 + . . . + 99 = (50)2
⇒ 2500
The average of all odd number up to 100 is
⇒ 2500/50
⇒ 50
∴ The required average is 50.
