The scores on a recent statistics test are given in the frequency distribution below. Construct the corresponding relative frequency distribution. Round relative frequencies to the nearest hundredth of a percent if necessary. $\begin{array}{c|c}
\text { Scores } & \text { Frequency } \
\hline 0-60 & 3 \
61-70 & 10 \
71-80 & 11 \
81-90 & 4 \
91-100 & 1
\end{array}$

A) $\begin{array}{c|c} \text { Scores } & \begin{array}{r} \text { Relative } \ \text { Frequency } \end{array} \ \hline 0-60 & 10.34 \% \ 61-70 & 34.48 \% \ 71-80 & 37.93 \% \ 81-90 & 13.79 \% \ 91-100 & 3.45 \% \end{array}$
B) $\begin{array}{c|c} & \begin{array}{r} \text { Relative } \ \text { Scores } \end{array} \ \hline 0-60 & 0.21 \% \ 61-70 & 0.24 \% \ 71-80 & 0.55 \% \ 81-90 & 0.03 \% \ 91-100 & -0.03 \% \end{array}$
D) $\begin{array}{c|c} & \begin{array}{c} \text { Relative } \ \text { Scores } \end{array} \ \hline 0-60 & 12.5 \% \ 61-70 & 20.1 \% \ 71-80 & 37.3 \% \ 81-90 & 15.2 \% \ 91-100 & 14.9 \% \end{array}$

Question

The scores on a recent statistics test are given in the frequency distribution below. Construct the corresponding relative frequency distribution. Round relative frequencies to the nearest hundredth of a percent if necessary. $\begin{array}{c|c}
\text { Scores } & \text { Frequency } \
\hline 0-60 & 3 \
61-70 & 10 \
71-80 & 11 \
81-90 & 4 \
91-100 & 1
\end{array}$

A) $\begin{array}{c|c} \text { Scores } & \begin{array}{r} \text { Relative } \ \text { Frequency } \end{array} \ \hline 0-60 & 10.34 \% \ 61-70 & 34.48 \% \ 71-80 & 37.93 \% \ 81-90 & 13.79 \% \ 91-100 & 3.45 \% \end{array}$ 
B) $\begin{array}{c|c} & \begin{array}{r} \text { Relative } \ \text { Scores } \end{array} \ \hline 0-60 & 0.21 \% \ 61-70 & 0.24 \% \ 71-80 & 0.55 \% \ 81-90 & 0.03 \% \ 91-100 & -0.03 \% \end{array}$ 
D) $\begin{array}{c|c} & \begin{array}{c} \text { Relative } \ \text { Scores } \end{array} \ \hline 0-60 & 12.5 \% \ 61-70 & 20.1 \% \ 71-80 & 37.3 \% \ 81-90 & 15.2 \% \ 91-100 & 14.9 \% \end{array}$

Quizplus · Accepted Answer

To find the relative frequency for each score, we divide the frequency of each score by the total number of scores. The total number of scores is the sum of all the frequencies, which is $3+10+11+4+1=29$. Then, we divide each frequency by 29 and express the answer as a percentage. For example, the relative frequency for scores in the range 0-60 is $\frac{3}{29} \approx 0.1034$, which we multiply by 100 to express as a percentage and round to the nearest hundredth of a percent to get 10.34\%. Applying this procedure to all the scores, we get the relative frequency distribution in choice A.

The Scores on a Recent Statistics Test Are Given in the Frequency