Question

1.18 Table 1.16 contains the total number of fatal motor vehicle traffic crashes in the United States for the period from 1994 to 2011.

Answer the following questions.

a. What is the frequency of deaths measured from 2000 through 2004?

b. What percentage of deaths occurred after 2006?

c. What is the relative frequency of deaths that occurred in 2000 or before?

d. What is the percentage of deaths that occurred in 2011?

e. What is the cumulative relative frequency for 2006? Explain what this number tells you about the data?

Short answer

(a) The frequency of deaths from 2000 to 2004 is 190800.

(b) The percentage of deaths occurred after 2006 is 20.22%.

(c) The relative frequency of deaths that occurred in 2000 or before is 0.3978.

(d) The percentage of deaths that occurred in 2011 is 4.55%.

(e) The cumulative frequency for 2006 is 0.7514.

Step-by-step solution

Step 1. Given information

The data is

Step 2. (a) Explanation

Total number of crashes in 2000=37526.

Total number of crashes in 2001=37862.

Total number of crashes in 2002=38491.

Total number of crashes in 2003=38477.

Total number of crashes in 2004=38444.

On addition of the above values.

So, the frequency of deaths from 2000 through 2004=190800.

Step 3. (b) Explanation

Total number of deaths after 2006 is

$$\begin{gathered} 37435+34172+30862+29757 \\ =132226 \end{gathered}$$

Total number of deaths=653782

So, percentage of deaths occurred after 2006 is

$$\begin{gathered} \frac{132226}{653782}\times 100 \\ =20.22\% \end{gathered}$$

Step 4. (c) Explanation

Total number of deaths that occurred in2000 or before is

$$\begin{gathered} 37526+37140+37107+37324+37494+37241+36254 \\ =260086 \end{gathered}$$

Total frequency=653782

So, relative frequency of deaths that occurred in 2000 or before is

$$\begin{gathered} \frac{260086}{653782} \\ =0.3978 \end{gathered}$$

Step 5. (d) Explanation

Number of deaths in 2011=29757.

Total number of deaths =653782

Percentage of deaths in 2011 is

$$\begin{gathered} \frac{29757}{653782}\times 100 \\ =4.55\% \end{gathered}$$

Step 6. (e) Explanation

Relative frequency for 2006=491260

Total frequency is 653782.

Cumulative relative frequency is

$$\begin{gathered} \frac{491260}{653782} \\ =0.7514 \end{gathered}$$

The data is quantitative discrete.