Construct the relative frequency distribution that corresponds to the given frequency distribution.
-$\begin{array}{r|c}
\text { Scores } & \text { Frequency } \
\hline 91-100 & 5 \
81-90 & 5 \
71-80 & 7 \
61-70 & 8 \

Question

Construct the relative frequency distribution that corresponds to the given frequency distribution.
-$\begin{array}{r|c}
\text { Scores } & \text { Frequency } \
\hline 91-100 & 5 \
81-90 & 5 \
71-80 & 7 \
61-70 & 8 \
<61 & 4
\end{array}$
A)
$\begin{array}{r|r}
\text { Scores } & \begin{array}{r}
\text { Relative } \
\text { Frequency }
\end{array} \
\hline 91-100 & 12.5 \% \
81-90 & 20.1 \% \
71-80 & 37.3 \% \
61-70 & 15.2 \% \
<61 & 14.9 \%
\end{array}$
B)
$\begin{array}{r|r}
\text { Scores } & \begin{array}{r}
\text { Relative } \
\text { Frequency }
\end{array} \
\hline 91-100 & 15.5 \% \
81-90 & 22.1 \% \
71-80 & 31.3 \% \
61-70 & 16.2 \% \
<61 & 14.9 \%
\end{array}$
C)
$\begin{array}{r|r}
\text { Scores } & \begin{array}{r}
\text { Relative } \
\text { Frequency }
\end{array} \
\hline 91-100 & 17.24 \% \
81-90 & 17.24 \% \
71-80 & 24.14 \% \
61-70 & 27.59 \% \
<61 & 13.79 \%
\end{array}$
D)
$\begin{array}{r|r}
\text { Scores } & \begin{array}{r}
\text { Relative } \
\text { Frequency }
\end{array} \
\hline 91-100 & 0.28 \% \
81-90 & 0.07 \% \
71-80 & 0.41 \% \
61-70 & 0.17 \% \
<61 & 0.07 \%
\end{array}$

Quizplus · Accepted Answer

To find the relative frequency, divide each frequency by the total number of data points (5+5+7+8+4=29) and multiply by 100 to get percentages. For example, for 91-100: (5/29)*100 ≈ 17.24%. This calculation matches the percentages in option C.