Bowley'S Coefficient Of Skewness Calculator

Enter the first quartile, median, and third quartile into the calculator to determine Bowley’s coefficient of skewness.

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Bowley’s Coefficient Of Skewness Formula

The following formula is used to calculate Bowley’s coefficient of skewness for a given set of quartiles.

Sk = \frac{Q3 + Q1 - 2Q2}{Q3 - Q1}

Variables:

Sk is Bowley’s coefficient of skewness
Q1 is the first quartile
Q2 is the median
Q3 is the third quartile

To calculate Bowley’s coefficient of skewness, subtract twice the median from the sum of the third and first quartiles. Then, divide the result by the difference between the third and first quartiles.

What is Bowley’s Coefficient Of Skewness?

Bowley’s coefficient of skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean. It is a dimensionless quantity that describes the relative position of the median within the interquartile range. A positive skewness indicates that the distribution is skewed to the right, while a negative skewness indicates that it is skewed to the left. This measure is particularly useful for understanding the shape of the distribution and identifying any potential outliers or anomalies in the data.

How to Calculate Bowley’s Coefficient Of Skewness?

The following steps outline how to calculate Bowley’s coefficient of skewness.

First, determine the first quartile (Q1) of the data set.
Next, determine the median (Q2) of the data set.
Next, determine the third quartile (Q3) of the data set.
Finally, calculate Bowley’s coefficient of skewness using the formula Sk = (Q3 + Q1 – 2Q2) / (Q3 – Q1).
After inserting the values and calculating the result, check your answer with the calculator above.

Example Problem :

Use the following variables as an example problem to test your knowledge.

First Quartile (Q1) = 25

Median (Q2) = 50

Third Quartile (Q3) = 75

Bowley’S Coefficient Of Skewness Calculator