Question

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

Answer 1

Answer:

Step-by-step explanation:

This is the cprrect solution....

Answer 2

Answer:

Step-by-step explanation:

The variate values are:

3, 4, 6, 7, 8, 14

Mean is given by: $Mean=\frac{Sum of observations}{total number ofobservations}$

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

Thus, ${\overline{x}=7$.

Now, ${\Delta}x_{1}={\overline{x}-x_{1}=7-3=4$

$|{\Delta}x_{2}|=|{\overline{x}-x_{2}|=|7-4|=3$

$|{\Delta}x_{3}|=|{\overline{x}-x_{3}|=|7-6|=1$

$|{\Delta}x_{4}|=|{\overline{x}-x_{4}|=|7-7|=0$

$|{\Delta}x_{5}|=|{\overline{x}-x_{5}|=|7-8|=1$

$|{\Delta}x_{6}|=|{\overline{x}-x_{6}|=|7-14|=7$

Sum of deviations of the variate values=$|{\Delta}x_{1}|+|{\Delta}x_{2}|+|{\Delta}x_{3}|+|{\Delta}x_{4}|+|{\Delta}x_{5}|+|{\Delta}x_{6}|$

=$4+3+1+0+1+7=16$

Therefore, the sum of deviations of the variate values is 16.