In a frequency distribution of a 5Q1 = 4Q2 = 2Q3 = 120. Find co-efficient of skewness using Bowley's method. *
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Answer:
Sk
b
is Bowley's coefficient of skewness,
where Q
2
is the median and
Q
1
&Q
3
are the lower and upper quartiles respectively.
Sk
b
=
(Q
3
−Q
2
)+(Q
2
−Q
1
)
(Q
3
−Q
2
)−(Q
2
−Q
1
)
⇒Sk
b
=
90+120
90−120
⇒Sk
b
=
210
−30
⇒Sk
b
=−0.142
So, it is a negatively skewed distribution.
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