Identify the cumulative frequency distribution that corresponds to the given frequency distribution. $$\begin{array} { | r | c | }
\hline \text { Speed } & \begin{array} { c }
\text { Number } \
\text { of Cars }
\end{array} \
\hline 0 - 29 & 4 \
30 - 59 & 16 \
60 - 89 & 60 \
90 - 119 & 20 \
\hline
\end{array}$$
A)
$\begin{array}{r|c}
\text { Speed } & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline \text { Less than 30 } & 4 \
\text { Less than 60 } & 20 \
\text { Less than 90 } & 80 \
\text { Less than 120 } & 100
\end{array}$

B)
$\begin{array}{r|c}
\text { Cumeed } & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline \text { Less than } 30 & 100 \
\text { Less than } 60 & 80 \
\text { Less than } 90 & 82 \
\text { Less than } 120 & 4
\end{array}$

C)
$\begin{array}{r|c}
\text { Speed } & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline-29 & 4 \
30-59 & 20 \
60-89 & 80 \
90-119 & 100
\end{array}$

D)
$\begin{array}{r|c}
\text { Speed } & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline \text { Less than 30 } & 0.04 \
\text { Less than 60 } & 0.20 \
\text { Less than 90 } & 0.80 \
\text { Less than } 120 & 1.00 \
\hline
\end{array}$

Question

Identify the cumulative frequency distribution that corresponds to the given frequency distribution. $$\begin{array} { | r | c | } 
\hline \text { Speed } & \begin{array} { c } 
\text { Number } \
\text { of Cars }
\end{array} \
\hline 0 - 29 & 4 \
30 - 59 & 16 \
60 - 89 & 60 \
90 - 119 & 20 \
\hline
\end{array}$$
A)
$\begin{array}{r|c}
\text { Speed } & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline \text { Less than 30 } & 4 \
\text { Less than 60 } & 20 \
\text { Less than 90 } & 80 \
\text { Less than 120 } & 100
\end{array}$

B)
$\begin{array}{r|c}
\text { Cumeed } & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline \text { Less than } 30 & 100 \
\text { Less than } 60 & 80 \
\text { Less than } 90 & 82 \
\text { Less than } 120 & 4
\end{array}$

C)
$\begin{array}{r|c}
\text { Speed } & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline-29 & 4 \
30-59 & 20 \
60-89 & 80 \
90-119 & 100
\end{array}$

D)
$\begin{array}{r|c}
\text { Speed } & \begin{array}{c}
\text { Cumulative } \
\text { Frequency }
\end{array} \
\hline \text { Less than 30 } & 0.04 \
\text { Less than 60 } & 0.20 \
\text { Less than 90 } & 0.80 \
\text { Less than } 120 & 1.00 \
\hline
\end{array}$

Quizplus · Accepted Answer

The cumulative frequency for each speed interval is found by adding the frequency for that speed interval to the sum of the frequencies for all lower speed intervals. The sum of all frequencies is 100, which is the final cumulative frequency. The cumulative frequencies given in choice A are correct and add up to 100. Choice B has incorrect values for the cumulative frequencies. Choice C has incorrect speed intervals. Choice D shows relative cumulative frequencies rather than cumulative frequencies.

Identify the Cumulative Frequency Distribution That Corresponds to the Given