Answer: B) Group 2
Step-by-step explanation:
Given the data:
Group 1 : 18 25 56 42 29 38 54 47 35 30
Group 2 : 23,19,50,49,67,34,30,59,40,33
Group 3 : 19,22,24,40,45,29,33,29,39,59
Group 4 : 21,23,25,40,35,19,70,40,22,23
The mean absolute deviation (MAD) :
Σ(x - m) / n
Where :
m = mean ; n = number of observations
Using calculator to save computation time :
GROUP 1:
m = 37.4 ; n = 10
Mean Absolute deviation = 10
GROUP 2:
m = 40.4 ; n = 10
Mean Absolute deviation = 12.68
GROUP 3:
m = 33.9 ; n = 10
Mean Absolute deviation = 9.48
GROUP 4:
m = 31. 8; n = 10
Mean Absolute deviation = 11.56
9.48 < 10 < 11.56 < 12.68
Group 3 < group 1 < group 4 < group 2
Group 2 has the highest mean absolute deviation with a value of 12.68
