Question

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

Answer 1

Step-by-step explanation:

Given: $x - 2a, \: x - a, \: x, \: x + a, \: x + 2a$

To find : Mean of given data.

Solution:

Tip:

$\bf \overline x = \frac{\Sigma \: x_i}{n}$

i.e.

Mean=Sum of observation/Total number of observation

Step 1: Calculate sum of observation.

$\Sigma \: x_i = x - 2a + x - a + x + x + a + x + 2a$

$\Sigma \: x_i = 5x$

Step 2: Count total numbers.

Total numbers are 5.

So, n=5

Step 3: Calculate mean

$\overline x = \frac{\Sigma \: x_i}{n}$

$\overline x = \frac{5x}{5}$

$\overline x = x$

Final answer:

Mean of given numbers is x.

Hope it will help you.

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