Kurtosis Calculator
Kurtosis Calculator
How It Works
Input a list of numbers (comma-separated or space-separated) as the dataset. The calculator will compute the kurtosis, a measure of the “tailedness” of the distribution, using the sample kurtosis formula. Click “Calculate” to see the result. Share or embed the calculator using the provided buttons.
Kurtosis Calculator
Enter Numbers (e.g., 1, 2, 3 or 1 2 3)
Result
Steps
About Kurtosis Calculator
The Kurtosis Calculator measures the “tailedness” of a dataset’s distribution. A positive kurtosis indicates a leptokurtic distribution (sharper peak, heavier tails), a negative kurtosis indicates a platykurtic distribution (flatter peak, lighter tails), and a kurtosis near zero suggests a mesokurtic distribution (similar to a normal distribution).
How to Use
- Enter a list of numbers, separated by commas or spaces (e.g., 1, 2, 3 or 1 2 3).
- Click “Calculate” to compute the kurtosis. The page will scroll to the result.
- Click “Clear” to reset the input and results.
- Click “Share” to copy the calculator’s URL to your clipboard.
- Click “Embed” to copy an iframe code for embedding on another website.
- The result and calculation steps will be displayed.
Formula
g_2 = \frac{n(n+1)}{(n-1)(n-2)(n-3)} \sum \left(\frac{x_i – \bar{x}}{s}\right)^4 – \frac{3(n-1)^2}{(n-2)(n-3)}
Where:
- g_2 = sample kurtosis (excess kurtosis)
- n = number of data points
- x_i = each data point
- \bar{x} = mean of the dataset
- s = sample standard deviation
Important Notes
- Enter at least four numbers in the dataset for a valid kurtosis calculation.
- Numbers can be integers or decimals, separated by commas or spaces.
- The keypad’s Clear button clears the input field.
- “Share” and “Embed” buttons require a browser that supports the Clipboard API.