Chapter 12.3, Problem 15MCQ

To determine

To choose the correct answer.

Answer to Problem 15MCQ

H) $1.833$

Explanation of Solution

Given information:

The given statement is:

“Several friends are chipping in to buy a gift for their teacher. Ignati is keep track of how much each friend gives for the gift. Find the mean absolute deviation.”

  $\$10,\$5,\$3,\$6,\$7,\$8$

The given options are:

F) $2.22$

G) $6.5$

H) $1.833$

J) $2.4$

Calculation :

The solution can be obtained by:

  $\begin{array}{l}\text{Mean}=6.5\\ \text{Sum of absolute values of difference between the numbers and mean}\\ =\left|10-6.5\right|+\left|5-6.5\right|+\left|3-6.5\right|+\left|6-6.5\right|+\left|7-6.5\right|+\left|8-6.5\right|\\ =3.5+1.5+3.5+0.5+0.5+1.5\\ =11\\ \text{Mean absolute deviation}\\ \text{=}\frac{11}{6}=1.833\end{array}$

Hence, the mean absolute deviation is $1.833$ .