The binomial standard deviation calculator determines the standard deviation (σ) based on the population proportion and sample size.
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.
Suppose, the population proportion is 0.58 and the sample size is 45. Calculate the binomial standard deviation for the given values.
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