Chapter 2, Problem 1E

To determine

Convert the table to relative frequency table.

Answer to Problem 1E

The relative frequency table is as follows,

Car type	Relative frequency
Subcompact and Mini	11.8%
Compact	31.5%
Intermediate	33.5%
Full	21.8%
Unknown	1.4%
Total	100%

Explanation of Solution

Calculation:

The given information is that, the data represents the car types with number of passenger car occupants killed in accidents in 2009.

Relative frequency:

The general formula for the relative frequency is,

$\text{Relative}\text{Frequency = }\frac{\text{Frequency}}{\text{Total frequency}}\times 100$

Substituting the type of Subcompact and Mini car and the number of passenger car occupants killed “1,545” as the frequency and total of passenger car occupants killed as “13,095” as total frequency in relative frequency.

$\begin{array}{c}\text{Relative}\text{Frequency}\text{for Subcompact and Mini car}=\frac{1,545}{13,095}\times 100\\ =0.11798\times 100\\ =11.80\\ \simeq 11.8\%\end{array}$

Similarly, the relative frequencies for the remaining car types are obtained below:

Car type	Frequency	Relative frequency
Subcompact and Mini	1,545	11.8%
Compact	4,128	31.5%
Intermediate	4,393	33.5%
Full	2,849	21.8%
Unknown	180	1.4%
Total	13,095	100%