The average of all odd numbers up to 100 is:1. 402. 503. 704. 60

1.	The average of all odd numbers up to 100 is:1. 402. 503. 704. 60
Answer» 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.

Answer» 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.

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