The following frequency distribution presents the frequency of passenger vehicles that pass through a certain intersection from 8:00 AM to 9:00 AM on a particular day. $$\begin{array} { c c }
\hline \text { Vehicle Type } & \text { Frequency } \
\hline \text { Motorcycle } & 7 \
\text { Sedan } & 63 \
\text { SUV } & 84 \
\text { Truck } & 30 \
\hline
\end{array}$$ Construct a relative frequency distribution for the data.
A)$\begin{array} { c c }
\text { Vehicle Type } & \text { Relative Frequency } \
\hline \text { Motorcycle } & 0.038 \
\text { Sedan } & 0.342 \
\text { SUV } & 0.457 \
\text { Truck } & 0.163
\end{array}$
B)$\begin{array} { c c }
\text { Vehicle Type } & \text { Relative Frequency } \
\hline \text { Motorcycle } & 0.07 \
\text { Sedan } & 0.63 \
\text { SUV } & 0.84 \
\text { Truck } & 0.3
\end{array}$
C)$\begin{array} { c c }
\text { Vehicle Type } & \text { Relative Frequency } \
\hline \text { Motorcycle } & 0.038 \% \
\text { Sedan } & 0.342 \% \
\text { SUV } & 0.457 \% \
\text { Truck } & 0.163 \%
\end{array}$
D)$\begin{array} { c c }
\text { Vehicle Type } & \text { Relative Frequency } \
\hline \text { Motorcycle } & 0.083 \
\text { Sedan } & 0.75 \
\text { SUV } & 1 \
\text { Truck } & 0.357
\end{array}$

Question

The following frequency distribution presents the frequency of passenger vehicles that pass through a certain intersection from 8:00 AM to 9:00 AM on a particular day. $$\begin{array} { c c } 
\hline \text { Vehicle Type } & \text { Frequency } \
\hline \text { Motorcycle } & 7 \
\text { Sedan } & 63 \
\text { SUV } & 84 \
\text { Truck } & 30 \
\hline
\end{array}$$ Construct a relative frequency distribution for the data. 
A)$\begin{array} { c c } 
\text { Vehicle Type } & \text { Relative Frequency } \
\hline \text { Motorcycle } & 0.038 \
\text { Sedan } & 0.342 \
\text { SUV } & 0.457 \
\text { Truck } & 0.163
\end{array}$ 
B)$\begin{array} { c c } 
\text { Vehicle Type } & \text { Relative Frequency } \
\hline \text { Motorcycle } & 0.07 \
\text { Sedan } & 0.63 \
\text { SUV } & 0.84 \
\text { Truck } & 0.3
\end{array}$ 
C)$\begin{array} { c c } 
\text { Vehicle Type } & \text { Relative Frequency } \
\hline \text { Motorcycle } & 0.038 \% \
\text { Sedan } & 0.342 \% \
\text { SUV } & 0.457 \% \
\text { Truck } & 0.163 \%
\end{array}$ 
D)$\begin{array} { c c } 
\text { Vehicle Type } & \text { Relative Frequency } \
\hline \text { Motorcycle } & 0.083 \
\text { Sedan } & 0.75 \
\text { SUV } & 1 \
\text { Truck } & 0.357
\end{array}$

Quizplus · Accepted Answer

To find the relative frequency, we divide the frequency of each vehicle type by the total frequency. The total frequency is 7 + 63 + 84 + 30 = 184. Then, we divide each frequency by 184 and round to three decimal places to get the relative frequency. Choice A matches this process and has the correct relative frequencies. Choice B has the same frequency distribution as the original data, not the relative frequencies. Choice C converts the relative frequencies to percentages, which is not necessary. Choice D has incorrect relative frequencies.

The Following Frequency Distribution Presents the Frequency of Passenger Vehicles