The following table presents the purchase totals (in dollars) of a random sample of gasoline purchases at a convenience store.
Construct a relative frequency distribution using a class width of 10, and using 0 as the lower class limit for the first class.
$$\begin{array} { r r r r r }
\hline 44.52 & 72.67 & 51.20 & 59.41 & 64.86 \
98.05 & 80.24 & 56.18 & 51.93 & 46.17 \
88.08 & 46.49 & 24.48 & 50.26 & 36.77 \
27.61 & 6.56 & 22.75 & 36.65 & 74.55 \
\hline
\end{array}$$
A)
$\begin{array}{l}
\text { Convenience Store Gas Purchases }\
\begin{array}{cc}
\hline \text { Amount (dollars) } & \text { Relative Frequency } \
\hline 0.00-9.99 & 0.035 \
10.00-19.99 & 0.015 \
20.00-29.99 & 0.150 \
30.00-39.99 & 0.100 \
40.00-49.99 & 0.150 \
50.00-59.99 & 0.250 \
60.00-69.99 & 0.050 \
70.00-79.99 & 0.100 \
80.00-89.99 & 0.100 \
90.00-99.99 & 0.050 \
\hline
\end{array}
\end{array}$

B)
$\begin{array}{l}
\text { Convenience Store Gas Purchases }\
\begin{array}{cc}
\hline \text { Amount (dollars) } & \text { Relative Frequency } \
\hline 0.00-9.99 & 0.050 \
10.00-19.99 & 0.000 \
20.00-29.99 & 0.150 \
30.00-39.99 & 0.100 \
40.00-49.99 & 0.150 \
50.00-59.99 & 0.250 \
60.00-69.99 & 0.050 \
70.00-79.99 & 0.100 \
80.00-89.99 & 0.100 \
90.00-99.99 & 0.050 \
\hline
\end{array}
\end{array}$

C)
$\begin{array}{cc}
{\text { Convenience Store Gas Purchases }} \
\hline \text { Amount (dollars) } & \text { Relative Frequency } \
\hline 0.00-9.99 & 0.050 \
10.00-19.99 & 0.000 \
20.00-29.99 & 0.150 \
30.00-39.99 & 0.100 \
40.00-49.99 & 0.150 \
50.00-59.99 & 0.250 \
60.00-69.99 & 0.040 \
70.00-79.99 & 0.110 \
80.00-89.99 & 0.100 \
90.00-99.99 & 0.050 \
\hline
\end{array}$
17 $$\begin{array}{l}
\text { D) }\
\begin{array} { c c }
{ \text { Convenience Store Gas Purchases } } \
\hline \text { Amount (dollars) } & \text { Relative Frequency } \
\hline 0.00 - 9.99 & 0.050 \
10.00 - 19.99 & 0.000 \
20.00 - 29.99 & 0.150 \
30.00 - 39.99 & 0.100 \
40.00 - 49.99 & 0.150 \
50.00 - 59.99 & 0.240 \
60.00 - 69.99 & 0.060 \
70.00 - 79.99 & 0.100 \
80.00 - 89.99 & 0.100 \
90.00 - 99.99 & 0.050 \
\hline
\end{array}
\end{array}$$

Question

The following table presents the purchase totals (in dollars) of a random sample of gasoline purchases at a convenience store.
Construct a relative frequency distribution using a class width of 10, and using 0 as the lower class limit for the first class.
 $$\begin{array} { r r r r r } 
\hline 44.52 & 72.67 & 51.20 & 59.41 & 64.86 \
98.05 & 80.24 & 56.18 & 51.93 & 46.17 \
88.08 & 46.49 & 24.48 & 50.26 & 36.77 \
27.61 & 6.56 & 22.75 & 36.65 & 74.55 \
\hline
\end{array}$$ 
A)
$\begin{array}{l}
\text { Convenience Store Gas Purchases }\
\begin{array}{cc}
\hline \text { Amount (dollars) } & \text { Relative Frequency } \
\hline 0.00-9.99 & 0.035 \
10.00-19.99 & 0.015 \
20.00-29.99 & 0.150 \
30.00-39.99 & 0.100 \
40.00-49.99 & 0.150 \
50.00-59.99 & 0.250 \
60.00-69.99 & 0.050 \
70.00-79.99 & 0.100 \
80.00-89.99 & 0.100 \
90.00-99.99 & 0.050 \
\hline
\end{array}
\end{array}$

B)
$\begin{array}{l}
\text { Convenience Store Gas Purchases }\
\begin{array}{cc}
\hline \text { Amount (dollars) } & \text { Relative Frequency } \
\hline 0.00-9.99 & 0.050 \
10.00-19.99 & 0.000 \
20.00-29.99 & 0.150 \
30.00-39.99 & 0.100 \
40.00-49.99 & 0.150 \
50.00-59.99 & 0.250 \
60.00-69.99 & 0.050 \
70.00-79.99 & 0.100 \
80.00-89.99 & 0.100 \
90.00-99.99 & 0.050 \
\hline
\end{array}
\end{array}$

C)
$\begin{array}{cc}
{\text { Convenience Store Gas Purchases }} \
\hline \text { Amount (dollars) } & \text { Relative Frequency } \
\hline 0.00-9.99 & 0.050 \
10.00-19.99 & 0.000 \
20.00-29.99 & 0.150 \
30.00-39.99 & 0.100 \
40.00-49.99 & 0.150 \
50.00-59.99 & 0.250 \
60.00-69.99 & 0.040 \
70.00-79.99 & 0.110 \
80.00-89.99 & 0.100 \
90.00-99.99 & 0.050 \
\hline
\end{array}$
 17 $$\begin{array}{l}
\text { D) }\
\begin{array} { c c } 
 { \text { Convenience Store Gas Purchases } } \
\hline \text { Amount (dollars) } & \text { Relative Frequency } \
\hline 0.00 - 9.99 & 0.050 \
10.00 - 19.99 & 0.000 \
20.00 - 29.99 & 0.150 \
30.00 - 39.99 & 0.100 \
40.00 - 49.99 & 0.150 \
50.00 - 59.99 & 0.240 \
60.00 - 69.99 & 0.060 \
70.00 - 79.99 & 0.100 \
80.00 - 89.99 & 0.100 \
90.00 - 99.99 & 0.050 \
\hline
\end{array}
\end{array}$$

Quizplus · Accepted Answer

Option B is correct because it accurately categorizes each purchase into the correct class interval and calculates the relative frequency based on the total number of purchases (20). Each class width is 10, starting from 0, and the relative frequencies add up to 1 (or 100% when converted to percentages), which is a requirement for relative frequency distributions.

The Following Table Presents the Purchase Totals (In Dollars) of a Random