# How do you find the standard deviation of a probability distribution?

In statistics, the standard deviation is the amount of variation or dispersion of the set of values.

## Answer: The standard deviation for a binomial probability distribution is given by √ npq.

The standard deviation of a random variable, sample, statistical population, data set or probability distribution is the square root of its variance.

**Explanation:**

For a binomial distribution,

µ = np, which signifies the expected number of successes.

σ^{2} = npq , σ^{2 }is the variance.

Since, the standard deviation is the square root of the variance,

Therefore, σ = Standard deviation = √ npq

### Thus, the standard deviation for a binomial probability distribution is given by √ npq .

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