Chapter 2, Problem 1E

To determine

Convert the table to a relative frequency table.

Answer to Problem 1E

The relative frequency table is as follows:

Car type	Relative frequency
Subcompact and Mini	11.28%
Compact	31.63%
Intermediate	33.80%
Full	21.93%
Unknown	1.37%
Total	100%

Explanation of Solution

Calculation:

The given information is the data of car types with the number of passenger car occupants killed in accidents in the year 2011.

Relative frequency:

The general formula for relative frequency is as follows:

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

Substitute the type of Subcompact and Mini car and the number of passenger car occupants killed “1,351” as the frequency and the total number of passenger car occupants killed as “11,981” as the total frequency in relative frequency.

$\begin{array}{c}\text{Relative}\text{Frequency}\text{for Subcompact and Mini car}=\frac{1,351}{11,981}\times 100\\ =0.112761\times 100\\ \approx 11.28\%\end{array}$

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

Car type	Frequency	Relative frequency
Subcompact and Mini	1,351	11.28%
Compact	3,789	31.63%
Intermediate	4,050	33.80%
Full	2,627	21.93%
Unknown	164	1.37%
Total	11,981	100%