Question

Using the following data, calculate the mean absolute deviation: 7 2 8 5 9 9 5 6 8 1 What is the mean absolute deviation for these data? (4 points)
A. 2.2
B. 6
C. 6.5
D. 8

Answer 1

Answer:

Option A - 2.2

Step-by-step explanation:

Given : Data  7, 2, 8, 5, 9, 9, 5, 6, 8, 1.

To find : What is the mean absolute deviation for these data?

Solution :

Step 1 - Calculate the mean of the data,

$M=\frac{\sum x_n}{n}$

$M=\frac{7+2+8+5+9 +9+5+6+8+1}{10}$

$M=\frac{60}{10}$

$M=6$

The mean is 6.

Step 2 - Calculate the distance between each data point and the mean.

Data points     Distance from mean

 7                        |7-6| = 1

 2                        |2-6| = 4

 8                        |8-6| = 2

 5                        |5-6| = 1

 9                        |9-6| = 3

 9                        |9-6| = 3

 5                        |5-6| = 1

 6                        |6-6| = 0

 8                        |8-6| = 2

 1                        |1-6| = 5

Step 3 - Add all the terms of distance from mean

X=1+4+2+1+3+3+1+0+2+5=22

Step 4 - Apply mean absolute deviation formula,

$MAD=\frac{\sum X}{n}$

$MAD=\frac{22}{10}$

$MAD=2.2$

Therefore, Option A is correct.

The mean absolute deviation is 2.2.

Answer 2

I believe 2.2  is the answer.