Finite Math Examples

$\begin{array}{c} Class & Frequency \\ 19.55 - 21.82 & 3 \\ 21.83 - 24.1 & 5 \\ 24.11 - 26.38 & 9 \\ 26.39 - 28.66 & 6 \\ 28.67 - 30.94 & 2 \end{array}$

Step 1

The relative frequency of a data class is the percentage of data elements in that class. The relative frequency can be calculated using the formula $f_{i} = \frac{f}{n}$ , where $f$ is the absolute frequency and $n$ is the sum of all frequencies.

$f_{i} = \frac{f}{n}$

Step 2

$n$ is the sum of all frequencies. In this case, $n = 3 + 5 + 9 + 6 + 2 = 25$ .

$n = 25$

Step 3

The relative frequency can be calculated using the formula $f_{i} = \frac{f}{n}$ .

$\begin{array}{c} Class & Frequency (f) & f_{i} \\ 19.55 - 21.82 & 3 & \frac{3}{25} \\ 21.83 - 24.1 & 5 & \frac{5}{25} \\ 24.11 - 26.38 & 9 & \frac{9}{25} \\ 26.39 - 28.66 & 6 & \frac{6}{25} \\ 28.67 - 30.94 & 2 & \frac{2}{25} \end{array}$

Step 4

Simplify the relative frequency column.

$\begin{array}{c} Class & Frequency (f) & f_{i} \\ 19.55 - 21.82 & 3 & 0.12 \\ 21.83 - 24.1 & 5 & 0.2 \\ 24.11 - 26.38 & 9 & 0.36 \\ 26.39 - 28.66 & 6 & 0.24 \\ 28.67 - 30.94 & 2 & 0.08 \end{array}$