Finite Math Examples

$- \frac{1}{12}$ , $- \frac{1}{2}$ , $- 3$ , $- 18$

Step 1

Since the number of items in the data $4$ is too small to be arranged in a set of classes, it is easier to list the items with their related frequencies.

$\begin{array}{c} Item & Frequency \\ - 0.08\overline{3} & 1 \\ - 0.5 & 1 \\ - 18 & 1 \\ - 3 & 1 \end{array}$

Step 2

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 3

$n$ is the sum of all frequencies. In this case, $n = 1 + 1 + 1 + 1 = 4$ .

$n = 4$

Step 4

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

$\begin{array}{c} Item & Frequency (f) & f_{i} \\ - 0.08\overline{3} & 1 & \frac{1}{4} \\ - 0.5 & 1 & \frac{1}{4} \\ - 18 & 1 & \frac{1}{4} \\ - 3 & 1 & \frac{1}{4} \end{array}$

Step 5

Simplify the relative frequency column.

$\begin{array}{c} Item & Frequency (f) & f_{i} \\ - 0.08\overline{3} & 1 & 0.25 \\ - 0.5 & 1 & 0.25 \\ - 18 & 1 & 0.25 \\ - 3 & 1 & 0.25 \end{array}$