Answered

In a survey of 360 Mt. SAC college students, people were asked, "How often do you wear a seat belt when driving a car?" The frequencies are displayed below:

\begin{tabular}{|l|l|}
\hline
Reply Class/Category & Frequency \\
\hline
I do not drive a car. & 12 \\
\hline
Never & 10 \\
\hline
Rarely & 18 \\
\hline
Sometimes & 35 \\
\hline
Most of the time & 92 \\
\hline
Always & 193 \\
\hline
\end{tabular}

What percent of respondents answered "Rarely"?

A. [tex]$60 \%$[/tex]
B. [tex]$5 \%$[/tex]
C. [tex]$18 \%$[/tex]
D. [tex]$20 \%$[/tex]
E. [tex]$16.7 \%$[/tex]



Answer :

GinnyAnswer
To determine the percentage of respondents who answered "Rarely," we need to follow these steps:

1. Identify the Total Number of Students Surveyed:
- According to the information given, there were 360 students surveyed.

2. Identify the Frequency of the "Rarely" Category:
- The number of students who answered "Rarely" is 18.

3. Calculate the Percentage:
- The percentage can be calculated using the formula:
[tex]\[ \text{Percentage} = \left( \frac{\text{Frequency of "Rarely"}}{\text{Total Number of Students}} \right) \times 100 \][/tex]

Substituting the known values:
[tex]\[ \text{Percentage} = \left( \frac{18}{360} \right) \times 100 \][/tex]

4. Perform the Division and Multiplication:
[tex]\[ \left( \frac{18}{360} \right) \times 100 = 0.05 \times 100 = 5.0 \][/tex]

Therefore, the percentage of respondents who answered "Rarely" is [tex]\(5\%\)[/tex].

So, the correct answer is [tex]\(5\%\)[/tex].

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