Question

Find the mean of a,a+d,a-d, a+2d,a-2d.​

Answer 1

mean=a+a+d+a-d+a+2d+a-2d/5

=5a/5

=a

mean = a

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Answer 2

The mean of a , a + d , a - d , a + 2d , a - 2d is a

Given :

The observations a , a + d , a - d , a + 2d , a - 2d

To find :

The mean of the observations

Solution :

Step 1 of 2 :

Find sum of observations

Here the given observations are a , a + d , a - d , a + 2d , a - 2d

Sum of the observations

= a + a + d + a - d + a + 2d + a - 2d

= 5a

Step 2 of 2 :

Find mean of the observations

Number of observations = 5

Hence the required mean of the observations

$\displaystyle \sf{ = \frac{Sum \: o the \: observations }{Number \: of \: observations } }$

$\displaystyle \sf{ = \frac{5a}{5} }$

= a

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