To calculate the standard deviation of the Poisson distribution:
\[ \text{STDV} = \sqrt{V(x)} \]
Where:
The standard deviation of the Poisson distribution is a measure of the dispersion or spread of the distribution. For a Poisson distribution, the variance is equal to the mean, and thus, the standard deviation is simply the square root of the variance. This property is particularly useful in fields such as queuing theory, reliability engineering, and various areas of statistical modeling where events occur randomly over time or space.
Let's assume the following variance:
Using the formula:
\[ \text{STDV} = \sqrt{25} = 5 \]
The standard deviation is 5.
Let's assume the following variance:
Using the formula:
\[ \text{STDV} = \sqrt{9} = 3 \]
The standard deviation is 3.