Answer :
Answer:
mean absolute deviation is 18.85
Step-by-step explanation:
Step 1:-
Given observation values 22,26,28,35,45,63,91
[tex]mean (x ) = \frac{22+26+28+35+45+63+91}{7}[/tex]
mean = 44.28≅ 44
Step2:-
The deviations of the respective observations from the mean (x)
That is [tex]x_{i}-x[/tex]
22-44, 26-44,28-44,35-44,45-44,63-44,91-44
-22, -18 ,-16 ,-9, 1, 19, 47
Step 3:-
The absolute values of the given data
[tex]x_{i}-x[/tex]
modulus of all these values
22,18,16,9.1,19,47
Step 4:-
Mean absolute deviation M.D=∑ [tex]\frac{x_{i} - x }{n}[/tex]
[tex]MAD = \frac{22+18+16+9+1+19+47}{7}[/tex]
on simplification we get mean absolute deviation is 18.85