The mean deviation from the mean of the set of observations, - 1 ,   0 ,   4 is

Question

The mean deviation from the mean of the set of observations, - 1 , &#160; 0 , &#160; 4 is

Aicharya · Accepted Answer

Using the given data, Mean of the set of observations is

$x = \frac{\sum_{i = 1}^{n} x_{i}}{n}$

Hence,

$x = \frac{- 1 + 0 + 4}{3} = 1$
Now using the formula for mean deviation,

$M D = \frac{\sum_{i = 1}^{n} | x_{i} - x |}{n}$

$\Rightarrow M D = \frac{|- 1 - 1| + |0 - 1| + |4 - 1|}{3}$

$\Rightarrow M D = 2$

The mean deviation from the mean of the set of observations, - 1 , &#160; 0 , &#160; 4 is