Statistics Examples

$\begin{array}{c} Class & Frequency \\ 12 - 14 & 4 \\ 15 - 17 & 5 \\ 19 - 21 & 9 \\ 22 - 24 & 2 \end{array}$

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, $n = 4 + 5 + 9 + 2 = 20$ .

$n = 20$

Step 3

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

$\begin{array}{c} Class & Frequency (f) & f_{i} \\ 12 - 14 & 4 & \frac{4}{20} \\ 15 - 17 & 5 & \frac{5}{20} \\ 19 - 21 & 9 & \frac{9}{20} \\ 22 - 24 & 2 & \frac{2}{20} \end{array}$

Step 4

Simplify the relative frequency column.

$\begin{array}{c} Class & Frequency (f) & f_{i} \\ 12 - 14 & 4 & 0.2 \\ 15 - 17 & 5 & 0.25 \\ 19 - 21 & 9 & 0.45 \\ 22 - 24 & 2 & 0.1 \end{array}$

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