Question

Using the following data, calculate the mean absolute deviation:

10 7 1 6 7 9 8 10 2 5
What is the mean absolute deviation for these data? (60 points)
a) 2
b) 2.4
c) 6.5
d) 7

Answer 1

b) 2.4

Explanation:

Mean = (10+7+1+6+7+9+8+10+2+5)/10

= 65/10 = 6.5

Sum|x-mean| = 3.5+0.5+5.5+0.5+0.5+2.5+1.5+3.5+4.5+1.5 = 24

MAD = 24/10 = 2.4

Answer 2

2.4

Explanation:

First we need to find the mean

Add up all the number

(10+ 7+ 1+ 6+ 7+ 9+ 8+ 10+ 2+ 5)/10

65/10 = 6.5

Then find the absolute difference from each point and the mean and sum them together and divide by the number of points

((10-6.5) + (7-6.5) +(6.5- 1) +(6.5-6) + (7-6.5)+( 9-6.5)+( 8-6.5)+ (10-6.5)+(6.5- 2)+(6.5- 5)) /10

24/10

2.4