Index of Dispersion Calculator

Formula

The formula to calculate the Index of Dispersion is:

\[ IOD = \frac{V}{m} \]

Where:

\(IOD\) is the Index of Dispersion
\(V\) is the total variance
\(m\) is the mean of the set

What is the Index of Dispersion?

The Index of Dispersion (IOD) is a measure used in statistics to describe the relative variability of a dataset. It is calculated by dividing the total variance by the mean of the set. This index helps in understanding the spread or dispersion of data points in relation to the mean.

Example Calculation

Let's assume the following values:

Total Variance (V) = 20
Mean of the Set (m) = 5

Using the formula to calculate the Index of Dispersion:

\[ IOD = \frac{20}{5} = 4 \]

The Index of Dispersion (IOD) is 4.