To calculate Bowley's Coefficient of Skewness (Sk):
\[ Sk = \frac{Q3 + Q1 - 2Q2}{Q3 - Q1} \]
Where:
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.
Let's assume the following values:
Using the formula:
\[ Sk = \frac{75 + 25 - 2 \times 50}{75 - 25} = 0 \]
The Bowley's Coefficient of Skewness is 0, indicating a symmetric distribution.
