Skewness — Everything you need to know about Skewness
Introduction to Skewness
Skewness is the measure of asymmetry of data distribution.
If the data is positively skewed, then we can interpret that there are more values which are greater than the mean than the values that are lesser than the mean
If the data is negatively skewed, then we can interpret that there are more values which are lesser than the mean than the values that are more than the mean
This table elaborates the difference between positively and negatively skewed data
Finding mode of different types of data series
Individual Series:
Skewness of individual series is given by the formula:
Where:
- Mean: Mean of the individual series
- Median: Median of the individual series
- Mode: Mode of the individual series
Discrete Series
Skewness of discrete series is given by the formula:
Where:
- Mean: Mean of the discrete series
- Median: Median of the discrete series
- Mode: Mode of the discrete series
Continous Series
Skewness of continuous series is given by the formula:
Where:
- Mean: Mean of the continuous series
- Median: Median of the continuous series
- Mode: Mode of the continuous series
Open Ended Intervals
Skewness of open ended intervals is given by the formula:
Where:
- Q1: First quartile
- Q2: Second quartile
- Q3: Third quartile
Python code for finding Skewness