Question

Mean deviation about mean of the given date 11,12,13, 14,15

Answer 1

Answer:

65/5

13 is ans.

hope it may help you.

Answer 2

Mean deviation about mean of the given data = 1.2

Given :

The data 11 , 12 , 13 , 14 , 15

To find :

Mean deviation about mean of the given data

Solution :

Step 1 of 2 :

Calculate mean of the data set

Mean of the data set

$\displaystyle \sf = \bar{x}$

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

$\displaystyle \sf = \frac{ 11 + 12 +13 + 14 + 15 }{5}$

$\displaystyle \sf = \frac{65}{5}$

$\displaystyle \sf = 13$

Step 2 of 2 :

Calculate Mean deviation about mean

Mean deviation about mean of the given data

$\displaystyle \sf = \frac{ \sum \: |x_i - \bar{x}| }{n}$

$\displaystyle \sf = \frac{ |13 - 11| + |13 - 12| +|13 - 13| +|13 - 14| + |13 - 15|}{5}$

$\displaystyle \sf = \frac{2 + 1 + 0 + 1 + 2}{5}$

$\displaystyle \sf = \frac{6}{5}$

$\displaystyle \sf = 1.2$

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