The table shows the number of pieces of fruit amanda bought for 5 weeks. what is the mean absolute deviation of the data set? week | piece of fruit 1 | 12 2 | 14 3 | 10 4 | 8 5 | 16a)12b)8.4c)4d)2.4

d) 2.4

The mean is ...

... (12 +14 +10 +8 +16)/5 = 60/5 = 12

The deviations from 12 are ...

... {0, 2, -2, -4, 4}

The mean of the absolute values of these is ...

... (0 +2 +2 +4 +4)/5 = 12/5 = 2.4 . . . MAD

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).