Question

Find the sum of the deviations of the variate values 3,4,6,7,8,14 from their mean.

Answer 1

Mean of 3, 4, 6, 7, 8, 14 $=\frac{3+4+6+7+8+14}{6}=\frac{42}{6}=7$

$\therefore \overline{x}=7$

Now, sum of the deviations of the variate values from their mean ${\sum }_{i=1}^n(x_i-\overline{x})=(3-7)+(4-7)+(6-7)+(7-7)+(8-7)+(14-7)=(-4)+(-3)+(-1)+0+1+7=0$