Question

Consumer complaints are frequently reported to the Better Business Bureau. Industries with the most complaints to the Better Business Bureau are often banks, cable and satellite television companies, collection agencies, cellular phone providers, and new car dealerships. Consider the results for a sample of 200 complaints.

Required:
Construct frequency and relative frequency tables showing complaints by industry.

Answer 1

`\begin{array}{ccc}{Industry} & {Frequency} & {RF}& {Bank} & {26} & {13\%}& {Cable} & {44} &{22\%} & {Car} & {42} & {21\%} &{Cell} & {60} & {30\%} & {Collection} & {28} & {14\%} &{Total} & {200} & {100\%}\ \end{array}`

Explanation:

Given

`n =200`

`Bank = 26; Cable = 44; Car = 42; Cell = 60; Collection = 28`

Required

The frequency relative frequency table

The frequency table is as follows:

`\begin{array}{cc}{Industry} & {Frequency} & {Bank} & {26} & {Cable} & {44} & {Car} & {42} & {Cell} & {60} & {Collection} & {28} & {Total} & {200} \ \end{array}`

Relative frequency (RF) is calculated using:'

`RF = (Frequency)/(Total) * 100\%`

So, we have:

`Bank = (26)/(200) * 100\% = 13\%`

`Cable = (44)/(200) * 100\% = 22\%`

`Car = (42)/(200) * 100\% = 21\%`

`Cell = (60)/(200) * 100\% = 30\%`

`Collection = (28)/(200) * 100\% = 14\%`

So, we have:

`\begin{array}{ccc}{Industry} & {Frequency} & {RF}& {Bank} & {26} & {13\%}& {Cable} & {44} &{22\%} & {Car} & {42} & {21\%} &{Cell} & {60} & {30\%} & {Collection} & {28} & {14\%} &{Total} & {200} & {100\%}\ \end{array}`