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.
$\begin{array} { r r r r r }
\hline 57.46 & 27.21 & 6.12 & 97.99 & 68.22 \
28.97 & 39.41 & 77.56 & 37.06 & 73.09 \
88.82 & 61.29 & 93.24 & 65.96 & 42.37 \
94.38 & 7.67 & 16.95 & 71.17 & 65.37 \
\hline
\end{array}$

A)$\begin{array}{l}
\text { Convenience Store Gas Purchases }\
\begin{array} { c c }
\hline \text { Amount (dollars) } & \text { Relative Frequency } \
\hline 0.00 - 9.99 & 0.100 \
10.00 - 19.99 & 0.050 \
20.00 - 29.99 & 0.100 \
30.00 - 39.99 & 0.080 \
40.00 - 49.99 & 0.070 \
50.00 - 59.99 & 0.050 \
60.00 - 69.99 & 0.200 \
70.00 - 79.99 & 0.150 \
80.00 - 89.99 & 0.050 \
90.00 - 99.99 & 0.150 \
\hline
\end{array}
\end{array}$

B)$\begin{array}{l}
\text { Convenience Store Gas Purchases }\
\begin{array} { c c }
\hline \text { Amount (dollars) } & \text { Relative Frequency } \
\hline 0.00 - 9.99 & 0.100 \
10.00 - 19.99 & 0.050 \
20.00 - 29.99 & 0.100 \
30.00 - 39.99 & 0.100 \
40.00 - 49.99 & 0.050 \
50.00 - 59.99 & 0.040 \
60.00 - 69.99 & 0.210 \
70.00 - 79.99 & 0.150 \
80.00 - 89.99 & 0.050 \
90.00 - 99.99 & 0.150 \
\hline
\end{array}
\end{array}$

C)$\begin{array}{l}
\text { Convenience Store Gas Purchases }\
\begin{array} { c c }
\hline \text { Amount (dollars) } & \text { Relative Frequency } \
\hline 0.00 - 9.99 & 0.100 \
10.00 - 19.99 & 0.050 \
20.00 - 29.99 & 0.100 \
30.00 - 39.99 & 0.100 \
40.00 - 49.99 & 0.050 \
50.00 - 59.99 & 0.050 \
60.00 - 69.99 & 0.200 \
70.00 - 79.99 & 0.150 \
80.00 - 89.99 & 0.050 \
90.00 - 99.99 & 0.150 \
\hline
\end{array}
\end{array}$

D)$\begin{array}{l}
\text { Convenience Store Gas Purchases }\
\begin{array} { c c }
\hline \text { Amount (dollars) } & \text { Relative Frequency } \
\hline 0.00 - 9.99 & 0.100 \
10.00 - 19.99 & 0.050 \
20.00 - 29.99 & 0.100 \
30.00 - 39.99 & 0.100 \
40.00 - 49.99 & 0.030 \
50.00 - 59.99 & 0.070 \
60.00 - 69.99 & 0.200 \
70.00 - 79.99 & 0.150 \
80.00 - 89.99 & 0.050 \
90.00 - 99.99 & 0.150 \
\hline
\end{array}
\end{array}$

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.
 $\begin{array} { r r r r r } 
\hline 57.46 & 27.21 & 6.12 & 97.99 & 68.22 \
28.97 & 39.41 & 77.56 & 37.06 & 73.09 \
88.82 & 61.29 & 93.24 & 65.96 & 42.37 \
94.38 & 7.67 & 16.95 & 71.17 & 65.37 \
\hline
\end{array}$

A)$\begin{array}{l}
\text { Convenience Store Gas Purchases }\
\begin{array} { c c } 
\hline \text { Amount (dollars) } & \text { Relative Frequency } \
\hline 0.00 - 9.99 & 0.100 \
10.00 - 19.99 & 0.050 \
20.00 - 29.99 & 0.100 \
30.00 - 39.99 & 0.080 \
40.00 - 49.99 & 0.070 \
50.00 - 59.99 & 0.050 \
60.00 - 69.99 & 0.200 \
70.00 - 79.99 & 0.150 \
80.00 - 89.99 & 0.050 \
90.00 - 99.99 & 0.150 \
\hline
\end{array}
\end{array}$

B)$\begin{array}{l}
\text { Convenience Store Gas Purchases }\
\begin{array} { c c } 
\hline \text { Amount (dollars) } & \text { Relative Frequency } \
\hline 0.00 - 9.99 & 0.100 \
10.00 - 19.99 & 0.050 \
20.00 - 29.99 & 0.100 \
30.00 - 39.99 & 0.100 \
40.00 - 49.99 & 0.050 \
50.00 - 59.99 & 0.040 \
60.00 - 69.99 & 0.210 \
70.00 - 79.99 & 0.150 \
80.00 - 89.99 & 0.050 \
90.00 - 99.99 & 0.150 \
\hline
\end{array}
\end{array}$

C)$\begin{array}{l}
\text { Convenience Store Gas Purchases }\
\begin{array} { c c } 
\hline \text { Amount (dollars) } & \text { Relative Frequency } \
\hline 0.00 - 9.99 & 0.100 \
10.00 - 19.99 & 0.050 \
20.00 - 29.99 & 0.100 \
30.00 - 39.99 & 0.100 \
40.00 - 49.99 & 0.050 \
50.00 - 59.99 & 0.050 \
60.00 - 69.99 & 0.200 \
70.00 - 79.99 & 0.150 \
80.00 - 89.99 & 0.050 \
90.00 - 99.99 & 0.150 \
\hline
\end{array}
\end{array}$

D)$\begin{array}{l}
\text { Convenience Store Gas Purchases }\
\begin{array} { c c } 
\hline \text { Amount (dollars) } & \text { Relative Frequency } \
\hline 0.00 - 9.99 & 0.100 \
10.00 - 19.99 & 0.050 \
20.00 - 29.99 & 0.100 \
30.00 - 39.99 & 0.100 \
40.00 - 49.99 & 0.030 \
50.00 - 59.99 & 0.070 \
60.00 - 69.99 & 0.200 \
70.00 - 79.99 & 0.150 \
80.00 - 89.99 & 0.050 \
90.00 - 99.99 & 0.150 \
\hline
\end{array}
\end{array}$

Quizplus · Accepted Answer

To construct a relative frequency distribution, we need to follow these steps:
1. Determine the range of the data: The range of the data is the difference between the largest and smallest values in the dataset. For this dataset, the range is 97.99 - 6.12 = 91.87.
2. Determine the number of classes: The number of classes should be between 5 and 20. A good rule of thumb is to use between 5 and 15 classes. In this case, we can choose 10 classes.
3. Determine the class width: The class width is the range divided by the number of classes. In this case, the class width is 91.87/10 = 9.19, which we can round up to 10.
4. Determine the class limits: We can start with a lower class limit of 0 and add multiples of the class width to determine the other class limits. The class limits for the 10 classes are:
- 0 to 9.99
- 10 to 19.99
- 20 to 29.99
- 30 to 39.99
- 40 to 49.99
- 50 to 59.99
- 60 to 69.99
- 70 to 79.99
- 80 to 89.99
- 90 to 99.99
5. Count the number of values that fall into each class and compute the relative frequency: We can count the number of values that fall into each class and divide by the total number of values, which is 20. The relative frequencies for each class are:
- 0.1, 0.05, 0.1, 0.1, 0.05, 0.05, 0.2, 0.15, 0.05, 0.15
Therefore, the best choice is C, which matches the above relative frequencies.

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