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The average of the first 30 natural numbers is:
Question

The average of the first 30 natural numbers is:

A.

15

B.

16

C.

15.5

D.

16.5

Correct option is C

Given:

First 30 natural numbers.

Formula Used:

Average=Sum of numbersCount of numbers\text{Average} = \frac{\text{Sum of numbers}}{\text{Count of numbers}}

Sum of first n natural numbers=n(n+1)2\text{Sum of first $ n $ natural numbers} = \frac{n(n+1)}{2}​​

Solution: 

Now, 

Sum=30×(30+1)2=30×312=465\text{Sum} = \frac{30 \times (30 + 1)}{2} = \frac{30 \times 31}{2} = 465 

Thus , 

Average=46530=15.5\text{Average} = \frac{465}{30} = 15.5 ​​

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