Question

Complete the following table on customer statistics.

Age of customer	Frequency	Relative Frequency
15 or younger	36	-
16 to 25	96	-
25 to 35	48	-
36 to 50	-	0.2
Older than 50	12	-
Total	240	1.00

Short answer

Age of customer	Frequency	Relative Frequency
15 or younger	36	0.15
16 to 25	96	0.4
25 to 35	48	0.2
36 to 50	48	0.2
Older than 50	12	0.05
Total	240	1.00

Step-by-step solution

Elucidating relative frequency

The relative frequency is a sort of frequency distribution. It facilitates positioning a particular kind of occurrence into a bigger context. The relative frequency can be computed using the formula specified below:

$\mathbf{Relative} \mathbf{frequency} \mathbf{=}\frac{\mathbf{Subgroup} \mathbf{frequency}}{\mathbf{Total} \mathbf{frequency}}$

Determining the missing values in the table

Relative frequency when the age of the customer is 15 years or younger (R₁):

$$\begin{gathered} {\mathbf{R}}_{\mathbf{1}}\mathbf{=}\frac{\mathbf{36}}{\mathbf{240}} \\ {\mathbf{R}}_{\mathbf{1}}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{15} \end{gathered}$$

Relative frequency for the age of customers between 16 to 25 (R₂):

$$\begin{gathered} {\mathbf{R}}_{\mathbf{2}}\mathbf{=}\frac{\mathbf{96}}{\mathbf{240}} \\ {\mathbf{R}}_{\mathbf{2}}\mathbf{=} \mathbf{0}\mathbf{.}\mathbf{4} \end{gathered}$$

Relative frequency for the age of customers between 25 to 35(R₃):

$$\begin{gathered} {\mathbf{R}}_{\mathbf{3}}\mathbf{=}\frac{\mathbf{48}}{\mathbf{240}} \\ {\mathbf{R}}_{\mathbf{3}}\mathbf{=} \mathbf{0}\mathbf{.}\mathbf{2} \end{gathered}$$

Frequency for the age of customers between 36 to 50 (f₄):

$$\begin{gathered} {\mathbf{R}}_{\mathbf{4}}\mathbf{=}\frac{{\mathbf{f}}_{\mathbf{4}}}{\mathbf{240}} \\ \mathbf{0}\mathbf{.}\mathbf{2}\mathbf{*}\mathbf{240}\mathbf{=} {\mathbf{f}}_{\mathbf{4}} \\ \mathbf{48}\mathbf{=} {\mathbf{f}}_{\mathbf{4}} \end{gathered}$$

Relative frequency when the customer is older than 50(R₅):

$$\begin{gathered} {\mathbf{R}}_{\mathbf{5}}\mathbf{=}\frac{\mathbf{12}}{\mathbf{240}} \\ {\mathbf{R}}_{\mathbf{5}}\mathbf{=} \mathbf{0}\mathbf{.}\mathbf{05} \end{gathered}$$