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
