Question

Find the sum of the absolute deviations of the following data set.8, 5, 15, 12, 10145012.510

Answer 1

Given:

The data set,

`8,5,15,12,10`

To find:

The sum of the absolute deviations.

Step-by-step explanation:

Let us find mean.

`\begin{gathered} Mean=\frac{Sum\text{ of all observations}}{Total\text{ number of observations}} \\ =(5+8+10+12+15)/(5) \\ =(50)/(5) \\ =10 \end{gathered}`

Finding the sum of the absolute deviations,

`\begin{gathered} =∣5−10∣+∣8−10∣+∣10−10∣+∣12−10∣+∣15−10∣ \\ =5+2+0+2+5 \\ =14 \end{gathered}`

Therefore, the sum of the absolute deviations is 14.

Final answer:

T^