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.

## 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)(SD^{4})

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 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)(SD^{4}) = (5-1)(4.970^{4}) = 1.859

You'll then get the Kurtosis of **1.859**.