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Standard XII
Mathematics
Coefficient of Variation
For a distrib...
Question
For a distribution, the coefficient of variation is 22.5% and mean is 7.5. Calculate standard deviation.
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Solution
Given,
Coefficient of variation= 22.5%
Mean,
X
= 7.5
Coefficient
of
Variation
=
σ
X
¯
×
100
22
.
5
=
σ
7
.
5
×
100
22
.
5
×
7
.
5
100
=
σ
σ
=
168
.
75
100
⇒
σ
=
1
.
687
=
1
.
69
a
p
p
r
o
x
Hence, standard deviation is 1.69
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