Statistics Examples

\begin{array}{c} Class & Frequency \\ 12 - 17 & 3 \\ 18 - 23 & 6 \\ 24 - 29 & 4 \\ 30 - 35 & 2 \end{array}

$\begin{array}{c} Class & Frequency \\ 12 - 17 & 3 \\ 18 - 23 & 6 \\ 24 - 29 & 4 \\ 30 - 35 & 2 \end{array}$

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}

$f_{i} = \frac{f}{n}$ , 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 = 3 + 6 + 4 + 2 = 15

$n = 3 + 6 + 4 + 2 = 15$ .

n = 15

$n = 15$

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} \\ 12 - 17 & 3 & \frac{3}{15} \\ 18 - 23 & 6 & \frac{6}{15} \\ 24 - 29 & 4 & \frac{4}{15} \\ 30 - 35 & 2 & \frac{2}{15} \end{array}

$\begin{array}{c} Class & Frequency (f) & f_{i} \\ 12 - 17 & 3 & \frac{3}{15} \\ 18 - 23 & 6 & \frac{6}{15} \\ 24 - 29 & 4 & \frac{4}{15} \\ 30 - 35 & 2 & \frac{2}{15} \end{array}$

Step 4

Simplify the relative frequency column.

\begin{array}{c} Class & Frequency (f) & f_{i} \\ 12 - 17 & 3 & 0.2 \\ 18 - 23 & 6 & 0.4 \\ 24 - 29 & 4 & 0.2\overline{6} \\ 30 - 35 & 2 & 0.1\overline{3} \end{array}

$\begin{array}{c} Class & Frequency (f) & f_{i} \\ 12 - 17 & 3 & 0.2 \\ 18 - 23 & 6 & 0.4 \\ 24 - 29 & 4 & 0.2\overline{6} \\ 30 - 35 & 2 & 0.1\overline{3} \end{array}$

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