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}

A)2.3333 B)5.6667

Step-by-step 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

table 3 represents a direct variation function. : )