Answer:
HOW TO DO STEP BY STEP:)
Original set ={14, 10, 11, 9, 12, 8, 8, 10, 7,10}
n = 8 is the number of values in that set above
Add up the values 12+11+7+10+10+11+6+8+14+8 = 97
Divide that sum by n = 8 to get 97/8 = 12. So the mean = 12
For each value in the original set {14, 10, 11, 9, 12, 8, 8, 10, 7,10} subtract off the mean = 12. Apply the absolute value to ensure the result is positive or zero
|x - mean| = |14 - 12| = -2
|x - mean| = |10 - 12| = 2
|x - mean| = |11- 12| = 1
|x - mean| = |9 - 12| = 3
|x - mean| = |12 - 12| =0
|x - mean| = |8 - 12| = 4
|x - mean| = |8 - 12| = 4
|x - mean| = |10 - 12| =2
|x - mean| = |7 - 12| = 5
|x - mean| = |10 - 12| = 2
The set of results we get are: {-2,2,1,3,4,4,2,5,2 } -2,2,1,3,4,4,2,5,= 21, then we divide 21 that over n = 12 (21/12) to get = 1.75
Therefore the mean absolute deviation (MAD) is 1.75
