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.

a. Show the frequency and percent frequency of complaints by industry.
Industry Frequency % Frequency
Bank
Cable
Car
Cell
Collection
Total

b. Which industry had the highest number of complaints?
c. Comment on the percentage frequency distribution for complaints.

Answer 1

(a)

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

(b): Cell industry

(c) See Explanation

Explanation:

Given (Missing from the question)

`Bank = 26`

`Cable = 44`

`Car = 42`

`Cell = 60`

`Collection = 28`

`Total = 200`

Solving (a) Show the frequency and percent frequency.

The percentage frequency is calculated by:

`\%Freq = (Freq)/(Total) * 100\%`

So. we have:

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

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

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

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

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

The table becomes:

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

Solving (b): The industry with the highest complaints

From the above table, the highest frequency is 60 and this represents the number of complaints of Cell industry.

Hence, the cell industry has the highest number of complaints

Solving (c): Comment

The percentage frequency table shows that the industry with the highest number of complaints is the cell industry (at 30%) and the industry with the least is the banking industry (at 13%)