Binomial Standard Deviation Calculator

The binomial standard deviation calculator determines the standard deviation (σ) based on the population proportion and sample size.

Calculation:

How to Use the Binomial Standard Deviation Calculator?

  1. First, input the population proportion (p) and sample size (n) values.
  2. Press the 'Calculate' button.
  3. As a result, the tool returns the standard deviation (σ) and calculation steps.

How to Calculate?

The standard deviation for the binomial distribution is calculated using the following formula:

σ = n × p × (1−p)

Where,
n = Sample Size,
p = Population Proportion.

Let's take an example.

Example:

Suppose, the population proportion is 0.58 and the sample size is 45. Calculate the binomial standard deviation for the given values.

Solution:

Here,
p = 0.58,
n = 45.

Now put values in the formula.

σ = 45 × 0.58 × (1 - 0.58)

σ = 26.1 × 0.42

σ = 10.962

σ = 3.311