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The average of first 14 whole numbers is:
Question

The average of first 14 whole numbers is:

A.

6.5

B.

7.5

C.

7

D.

5.5

Correct option is A

Given:

The first 14 whole numbers are 0,1,2,3,,130, 1, 2, 3, \ldots, 13​​

Formula Used:

Average = Sum of the numbersTotal number of numbers\frac{\text{Sum of the numbers}}{\text{Total number of numbers}}

The sum of the first n whole numbers (from 0 to n-1):

Sum = n(n1)2\frac{n(n-1)}{2}​​

​Solution:

For the first 14 whole numbers:

Sum = 14(141)2=14×132=1822=91\frac{14(14-1)}{2} = \frac{14 \times 13}{2} = \frac{182}{2} = 91​​

Average = 9114 \frac{91}{14}​ = 6.5

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