Finite Math Examples

\begin{array}{c} Class & Frequency \\ 1 - 1.4 & 5 \\ 1.5 - 1.9 & 5 \\ 2 - 2.4 & 6 \\ 2.5 - 2.9 & 5 \\ 3 - 3.4 & 1 \end{array}

$\begin{array}{c} Class & Frequency \\ 1 - 1.4 & 5 \\ 1.5 - 1.9 & 5 \\ 2 - 2.4 & 6 \\ 2.5 - 2.9 & 5 \\ 3 - 3.4 & 1 \end{array}$

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}

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

f

$f$ is the absolute frequency and

n

$n$ is the sum of all frequencies.

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

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

Step 2

n

$n$ is the sum of all frequencies. In this case,

n = 5 + 5 + 6 + 5 + 1 = 22

$n = 5 + 5 + 6 + 5 + 1 = 22$ .

n = 22

$n = 22$

Step 3

The relative frequency can be calculated using the formula

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

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

\begin{array}{c} Class & Frequency (f) & f_{i} \\ 1 - 1.4 & 5 & \frac{5}{22} \\ 1.5 - 1.9 & 5 & \frac{5}{22} \\ 2 - 2.4 & 6 & \frac{6}{22} \\ 2.5 - 2.9 & 5 & \frac{5}{22} \\ 3 - 3.4 & 1 & \frac{1}{22} \end{array}

$\begin{array}{c} Class & Frequency (f) & f_{i} \\ 1 - 1.4 & 5 & \frac{5}{22} \\ 1.5 - 1.9 & 5 & \frac{5}{22} \\ 2 - 2.4 & 6 & \frac{6}{22} \\ 2.5 - 2.9 & 5 & \frac{5}{22} \\ 3 - 3.4 & 1 & \frac{1}{22} \end{array}$

Step 4

Simplify the relative frequency column.

\begin{array}{c} Class & Frequency (f) & f_{i} \\ 1 - 1.4 & 5 & 0.2\overline{27} \\ 1.5 - 1.9 & 5 & 0.2\overline{27} \\ 2 - 2.4 & 6 & 0.\overline{27} \\ 2.5 - 2.9 & 5 & 0.2\overline{27} \\ 3 - 3.4 & 1 & 0.0\overline{45} \end{array}

$\begin{array}{c} Class & Frequency (f) & f_{i} \\ 1 - 1.4 & 5 & 0.2\overline{27} \\ 1.5 - 1.9 & 5 & 0.2\overline{27} \\ 2 - 2.4 & 6 & 0.\overline{27} \\ 2.5 - 2.9 & 5 & 0.2\overline{27} \\ 3 - 3.4 & 1 & 0.0\overline{45} \end{array}$