Cumulative Distribution Function/Examples
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Examples of Cumulative Distribution Functions
Arbitrary Example
Consider a population consisting of children the state of whose teeth is being monitored.
The following table consists of a count of the number of teeth with dental caries in a group of $50$ schoolchildren:
- $\begin {array} {|l|l|}
\hline \text {Number of Teeth} & \text {Number of Children} \\ \hline 0 & 27 \\ 1 & 12 \\ 2 & 6 \\ 3 & 4 \\ 6 & 1 \\ \hline \end {array}$
The values of the cumulative distribution function:
| \(\ds \map F 0\) | \(=\) | \(\ds \dfrac {27} {50}\) | ||||||||||||
| \(\ds \map F 1\) | \(=\) | \(\ds \dfrac {39} {50}\) | ||||||||||||
| \(\ds \map F 2\) | \(=\) | \(\ds \dfrac {45} {50}\) | ||||||||||||
| \(\ds \map F 3\) | \(=\) | \(\ds \dfrac {49} {50}\) | ||||||||||||
| \(\ds \map F 4\) | \(=\) | \(\ds \dfrac {49} {50}\) | ||||||||||||
| \(\ds \map F 5\) | \(=\) | \(\ds \dfrac {49} {50}\) | ||||||||||||
| \(\ds \map F 6\) | \(=\) | \(\ds 1\) |