Chapter 2, Problem 1E

SECTION 2.1

1. Automobile fatalities The table gives the numbers of passenger car occupants killed in accidents in 2011 by car type.

Subcompact and Mini	3610
Compact	2830
Intermediate	4083
Full	2810
Unknown	248
Source: www.nhtsa.gov

Convert this table to a relative frequency table.

To determine

Find the relative frequency distribution for the car type data.

Answer to Problem 1E

The relative frequency distribution is:

Automobile fatalities	Relative frequency
Subcompact and Mini	0.2658
Compact	0.2084
Intermediate	0.3006
Full	0.2069
Unknown	0.0183
Total	1.00

Explanation of Solution

Given info:

The table represents the type of cars, where the number of passenger in car occupants killed by those car type that killed in accident with year 2011 with frequency.

Calculation:

Relative frequency:

The general formula for the relative frequency is,

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

The relative frequencies for the remaining types of cars are obtained below:

Automobile fatalities	Frequency	Relative frequency
Subcompact and Mini	3,610	$\frac{3,610}{13,581}=0.2658$
Compact	2,830	$\frac{2,830}{13,581}=0.2084$
Intermediate	4,083	$\frac{4,083}{13,581}=0.3006$
Full	2,810	$\frac{2,810}{13,581}=0.2069$
Unknown	248	$\frac{248}{13,581}=0.0183$
Total	13,581	1.00