Question

What is the mean absolute deviation of 17, 8, 5, 12, 20, and 12 rounded to the nearest 10th

Answer 1

First find the arithmetic average, which is the "mean".

m=(17+8+5+12+20+12)/6

m=74/6=37/3

Now you sum up the differences between each value and the mean...

mad=(4 2/3+4 1/3+7 1/3+1/3+7 2/3+1/3)

mad=24 2/3

mad=24.7 (to nearest tenth)

Answer 2

There's 6 numbers so, when you calculate the MAD, you end up with 4.1 with the 1 repeating. You round it and you get 4.10