Question

This table shows the number of points two teams scored in five games

team 1 team 2
51 27
47 55
35 53
48 38
64 41

what is the difference in the mean absolute deviation of the two teams

Answer 1

2.16

Explanation:

The question is on mean absolute deviation

The general formula ,

Mean deviation = sum║x-μ║/N where x is the each individual value, μ is the mean and N is number of values

Team 1

Finding the mean ;

`mean= (51+47+35+48+64)/(5)  =49`

Points Absolute Deviation from mean

51 2

47 2

35 14

48 1

64 15

Sum 34

Absolute mean deviation = 34/5= 6.8

Team 2

Finding the mean

`mean=(27+55+53+38+41)/(5) = 42.8`

Points Absolute deviation from the mean

27 15.8

55 12.2

53 10.2

38 4.8

41 1.8

Sum 44.8

Absolute deviation from the mean = 44.8/5 =8.96

Solution

Difference in mean absolute deviation of the two teams = 8.96-6.8 = 2.16