You can use the Skewness Calculator in order to derive the Skewness. Each value entered in the calculator should be separated by a comma. Example is included below.
Enter Values (each value separated by comma):
How to use the Skewness Calculator
Let's suppose that your goal is to calculate the Skewness, given the following values:
2, 7, 15, 4, 8
To start, enter the values in the Skewness calculator, and then click on the 'Calculate Skewness' button:
You'll then get the Skewness of 0.61439:
How to Manually Calculate the Skewness
You can manually derive the Skewness using this formula:
Σ(xi - x̅)3
Skewness = (n-1)(SD3)
Where:
- x̅ = Mean (average of all data points)
- xi = Value of each data point
- n = Sample size
- SD = Standard Deviation
For example, let's say that you'd like to derive the Skewness, given the following values:
2, 7, 15, 4, 8
Here are the calculations needed in order to get the Skewness:
- x̅ = (2+7+15+4+8) / 5 = 7.2
- Σ(xi - x̅)3 = (2-7.2)3 + (7-7.2)3 + (15-7.2)3 + (4-7.2)3 + (8-7.2)3 = 301.68
- n = 5
- SD = [Σ(xi - x̅)2 ]0.5 / (n-1)0.5 = [98.8]0.5 / (5-1)0.5 = 4.970
Σ(xi - x̅)3 301.68 Skewness = (n-1)(SD3) = (5-1)(4.9703) = 0.61439
You'll then get the Skewness of 0.61439.