which formula is used for finding coefficient of skewness when a distribution has open-ended classes
Answers
Answer:
Alternative Bowley Skewness formula.
You should use this formula if you want to compare different distributions with different units: Relative Skewness = (Q3 + Q1) – (2 * Median / Q3 – Q1).
skewness = (Q3 + Q1 -2Q2)/(Q3 -Q1)
Given
- open-ended classes
- coefficient of skewness when a distribution
To find
- formula used for finding coefficient of skewness
solution
we are provided a distribution in open ended classes and are asked to find the suitable equation to estimate the coefficient of skewness of the distribution.
we know that in open ended classes the ends of the class intervals are not specified or is considered as open.
since the end class intervals are not provided the measures of skewness which consider the all the class interval values cannot be chosen.
ln this case the quartile method for finding the skewness is best suited.
The quartile method for finding the skewness is given by the formula
skewness = (Q3 + Q1 -2Q2)/(Q3 -Q1)
in the above equation we define,
Q3 as the 3 quartile
Q2 as the 2 quartile
Q1 as the first quartile
since the process of estimating the value of quartile does not compulsory requires all the class intervals the method could be adopted in finding the skewness of the distribution in this case.
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