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. (3)

B 5. (6)

Step-by-step 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)

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