Question

Dr. Ibanez recorded the amount of snowfall, in centimeters, at 10 different locations during 1 day and then arranged the amounts from smallest to largest. The amounts were 3, 3, 3, 3, 4, 4, 4, 5, 5, and 6 cm. The mean of these measurements is 4 cm.
What is the mean absolute deviation?

A.
0 cm

B.
0.8 cm

C.
1 cm

D.
2.5 cm

Answer 1

Answer: the answer is b 0.8

Step-by-step explanation:

Answer 2

So we want to know what MAD from this set of data is that has the mean value of 4. First we determine the distance d of each number from the set from the mean value: d1=4-3=1, d2=4-4=0, d3=5-4=1, d4=6-4=2. So our set of distances is {1,1,1,1,0,0,0,1,1,2}. Now we can determine MAD: MAD=(1+1+1+1+0+0+0+1+1+2)/10=0.8.