Question

How does the mean absolute deviation (MAD) of the data in set 1 compare to the mean absolute deviation of the data in set 2? Set 1: 12, 8, 10, 50 Set 2: 13, 9, 8

Answer 1

b

Explanation:

Answer 2

The Mean Absolute Deviation of Set 1 is 13 more than the mean absolute deviation of Set 2.

Explanation:

Set 1: 12, 8, 10, 50

Set 2: 13, 9, 8

Step 1:We determine the mean for each set

Mean of Set 1:
`=(12+8+10+50)/(4) =(80)/(4)=20`

Mean of Set 2:
`=(13+9+8)/(3) =(30)/(3)=10`

Step 2: We determine the mean absolute deviation (MAD) of the data in each set.

M.A.D of Set 1:
`=(|12-20|+|8-20|+|10-20|+|50-20|)/(4) =(8+12+10+30)/(4)=(60)/(4)=15`

Mean of Set 2:
`=(|13-10|+|9-10|+|8-10|)/(3) =(3+1+2)/(3)=(6)/(3)=2`

The Mean Absolute Deviation of Set 1 is 13 more than the mean absolute deviation of Set 2.