# Kurtosis Calculator

You can use the Kurtosis Calculator to derive the Kurtosis. 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 Kurtosis Calculator

Let's review a simple example in order to see how to use the Kurtosis calculator.

Suppose that your goal is to derive the Kurtosis, given the following values:

2, 7, 15, 4, 8

To start, enter the above values in the Kurtosis calculator, and then press on the 'Calculate Kurtosis' button:

You'll then get the Kurtosis of 1.85954:

## How to Manually Calculate the Kurtosis

You can use the formula below in order to manually calculate the Kurtosis:

```                      Σ(xi - x̅)4
Kurtosis  =   (n-1)(SD4)   ```

Where:

For example, let's say that you'd like to derive the Kurtosis, given the following values:

2, 7, 15, 4, 8

Here are the calculations to derive the Kurtosis:

• x̅ = (2+7+15+4+8) / 5 = 7.2
• Σ(xi - x̅)4 = (2-7.2)4 + (7-7.2)4 + (15-7.2)4 + (4-7.2)4 + (8-7.2)4 = 4537.936
• 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)4          4537.936
Kurtosis =   (n-1)(SD4) = (5-1)(4.9704)   = 1.859```

You'll then get the Kurtosis of 1.859.