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Q.

Find the arithmetic mean of the first 12 natural numbers.

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a

6.5

b

9

c

7.5

d

12

answer is A.

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Detailed Solution

First 12 natural numbers are: 1,2,3,4,5,6….12.
Let the sum of the first 12 natural numbers be S then,
S = 1+2+3+4+5+6+...12 = 78
To calculate the arithmetic mean, substitute 78 for the sum of observations and 12 for the total number of observations in the formula,

M

=

\frac{S}{n}

.

M

=

\frac{S}{n}

=

\frac{78}{12}

= 6.5
Hence, 6.5 is the arithmetic mean of the first 12 natural numbers.

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