Standard Deviation of the Poisson Distribution Calculator

How to Use the Calculator

1. Enter the mean (λ) of the Poisson distribution in the input field.
2. Click the "Calculate" button to compute the standard deviation.
3. The result will be displayed in the "Standard Deviation" field.
4. Click "Reset" to clear all inputs and results.

Understanding the Poisson Distribution

The Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space, given the average rate of occurrence (λ). The standard deviation of a Poisson distribution is equal to the square root of its mean (λ).

Formula

The standard deviation (σ) of a Poisson distribution is calculated using the following formula:

σ = √λ

Where:

• σ (sigma) is the standard deviation
• λ (lambda) is the mean of the Poisson distribution