Question

What is the mean absolute deviation of data sets A and B?

A {25, 19, 20, 15, 17, 18}
B {20, 7, 8, 10, 21, 18}

Answer 1

A 2.(3)

B 5.(6)

Explanation:

1)

Mean = (25+19+20+15+17+18)/6

= 114/6

= 114 : 6

= 19

Mad = [(25-19)+(19-19)+(20-19)+|15-19|+|17-19|+|18-19|]/6

= (6+0+1+4+2+1)/6

= 14/6

= 2.(3)

2)

Mean = (20+7+8+10+21+18)/6

= 84/6

= 14

Mad = [(20-14)+|7-14|+|8-14|+|10-14|+(21-14)+(18-14)]/6

= (6+7+6+4+7+4)/6

= 34/6

= 5.(6)

Answer 2

A)2.3333 B)5.6667

Explanation:

A)

First find the mean of the

(25 + 19 + 20 + 15 + 17 + 18)/6 = 114/6

mean = 19

Then subtract the mean from each number and find the mean of that

MAD = (25 - 19) + ( 19 - 19) + ( 20 - 19) + ( 15 - 19) + ( 17 - 19) + ( 18 - 19) /6 = (6) +(0) + (1) + (4) + (2) + (1) /6 = 14 /6 = 2.3333

Mean Absolute Deviation = 2.3333

B)

First find the mean

(20 + 7 + 8 + 10 + 21 + 18)/6 = 84/6

mean = 14

Then subtract the mean from each number and find the mean of that

MAD = (20 - 14) + ( 7 - 14) + ( 8 - 14) + ( 10 - 14) + ( 21 - 14) + ( 18 - 14)/ 6 = (6) + (7) + (6) + (4) + (7) + (4) /6 = 34 /6 = 5.6667

Mean Absolute Deviation = 5.6667