The meteorologist recorded the amount of rainfall, in centimeters, at 10 different locations during 1 day and then arranged the amounts from smallest to largest. the amounts were 2, 2, 2, 2, 3, 3, 3, 4, 4, and 5 cm. the mean of these measurements is 3 cm. what is the mean absolute deviation?
0.0 cm
0.8 cm
1.0 cm
2.5 cm

Answer with Step-by-step explanation:

We are given a data :

2, 2, 2, 2, 3, 3, 3, 4, 4, 5  

and its mean is 3

Mean absolute deviation means arithmetic mean of the absolute deviation about mean.

Deviation about mean is:

2-3,2-3,2-3,2-3,3-3,3-3,3-3,4-3,4-3,5-3

-1,-1,-1,-1,0,0,0,1,1,2

absolute deviation about mean is:

1,1,1,1,0,0,0,1,1,2

Arithmetic mean of the absolute deviation is:

1+1+1+1+0+0+0+1+1+2/10

= 8/10

= 0.8 cm