)The following data show the height, in inches, of 11 different plants in a garden: 9 4 10 9 5 2 22 10 3 3 5 After removing the outlier, what does the mean absolute deviation of this data set represent? On average, the height of a plant varies 2.8 inches from the mean of 6 inches. On average, the height of a plant varies 3.2 inches from the mean of 5 inches. On average, the height of a plant varies 2.8 inches from the mean of 5 inches. On average, the height of a plant varies 3.2 inches from the mean of 6 inches.
Accepted Solution
A:
ur outlier is 22....so we will remove it.
now we find the mean (average) of the data set... (9+4+10+9+5+2+10+3+3+5) / 10 = 60/10 = 6...this is ur mean
now we subtract the mean from every data value...and find its absolute value 9 - 6 = 3....| 3| = 3 4 - 6 = -2...|-2| = 2 10 - 6 = 4..|4| = 4 9 - 6 = 3....|3| = 3 5 - 6 = -1..|-1| = 1 2 - 6 = -4...|-4| = 4 10 - 6 = 4..|4| = 4 3 - 6 = -3...|-3| = 3 3 - 6 = -3...|-3| = 3 5 - 6 = -1...|-1| = 1
now we find the mean (average) of these numbers...that is ur MAD (3+2+4+3+1+4+4+3+3+1) / 10 = 28/10 = 2.8
ur answer : on average, the height of the plant varies 2.8 inches from the mean of 6 inches