Question

What is the means-to-MAD ratio of the two data sets, expressed as a decimal?

Data set Mean Mean absolute deviation (MAD)
1 10.7 2.4
2 13.7 2.5

2.What is the means-to-MAD ratio of the two data sets, expressed as a decimal to the nearest tenth?

Data Set 1: {14, 18, 21, 15, 17}
Data Set 2: {15, 17, 22, 20, 16}

Answer 1

Data set 1: 14,15,17,18,21
mean: (14+15+17+18+21)/5 = 85/5 = 17
mad
17-14 = 3
17-15 = 2
17-17 = 0
17-18 = 1
17-21 = 4

(3+2+0+1+4)/5 = 10/5 = 2

17/2 = 8.5 is the means-to-mad ratio

Data set2: 15,16,17,20,22
mean = (15+16+17+20+22)/5 = 90/5 = 18
mad
18 - 15 = 3
18 - 16 = 2
18 - 17 = 1
18 - 20 = 2
18 - 22 = 4

(3+2+1+2+4)/5 = 12/5 = 2.4

18/2.4 = 7.5 means to mad ratio