find mean deviation and it's coefficient of mean deviation profits 0-10, 10-20,20-30,30-40,40-50 no. of shops 5,10,15,20
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Explanation:
Profit
Mid-value
Frequency
Multiple of
Deviation from
Multiple of
(Rs)
(m)
(f)
Mid-value and
Mean
Deviation and the
Frequency
|
d
¯
x
|
=
|
m
−
¯
X
|
Corresponding to
(fm)
¯
X
=
31.66
Frequency
(
f
|
d
¯
x
|
)
0
−
10
5
5
25
26.66
133.30
10
−
20
15
10
150
16.66
166.60
20
−
30
25
15
375
6.66
99.90
30
−
40
35
20
700
3.34
66.80
40
−
50
45
25
1
,
125
13.34
333.50
∑
f
=
75
∑
fm
=
2
,
375
∑
|
d
¯
x
|
=
66.66
∑
f
|
d
¯
x
|
=
800.10
¯
X
=
∑
fm
∑
f
=
2
,
375
75
=
31.66
Mean Deviation from Arithmetic Mean
MD
¯
X
=
∑
f
|
d
¯
x
|
∑
f
=
800.10
75
=
10.67
Coefficient of Mean Deviation
=
M
D
¯
X
¯
X
=
10.67
31.67
=
0.34
Mean Deviation = 10.67, Coefficient of Mean Deviation = 0.34.
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