\begin{tabular}{l} 3. Make Sense and Persevere Draw a line \\ plot of the data. \\ Cups of Beans in One Batch \\ \hdashline \( \begin{array}{c:ccc:c}5 & 5 \frac{1}{2} & 4 \frac{1}{2} & 4 \frac{1}{2} & 4 \frac{1}{2} \\ 4 \frac{1}{2} & 4 \frac{1}{2} & 4 \frac{1}{2} & 4 \frac{3}{4} & 4 \frac{1}{2}\end{array} \)\end{tabular}

1. List the data values from both rows.  Row 1:   \(5,\; 5\frac{1}{2},\; 4\frac{1}{2},\; 4\frac{1}{2},\; 4\frac{1}{2}\)  Row 2:   \(4\frac{1}{2},\; 4\frac{1}{2},\; 4\frac{1}{2},\; 4\frac{3}{4},\; 4\frac{1}{2}\) 2. Convert the mixed numbers to clarify the values:  \(5\frac{1}{2} = 5.5,\; 4\frac{1}{2} = 4.5,\; 4\frac{3}{4} = 4.75\)  So the numbers become:  Row 1: \(5,\; 5.5,\; 4.5,\; 4.5,\; 4.5\)  Row 2: \(4.5,\; 4.5,\; 4.5,\; 4.75,\; 4.5\) 3. Tally the frequency of each value:  - \(\displaystyle 4.5\) appears:   Row 1 has three occurrences and Row 2 has four occurrences, so in total \(3+4=7\) times.  - \(\displaystyle 5\) appears: 1 time.  - \(\displaystyle 5.5\) appears: 1 time.  - \(\displaystyle 4.75\) appears: 1 time. 4. Choose the scale for the line plot using the distinct values in order.  The values in increasing order are:  \[  4.5,\quad 4.75,\quad 5,\quad 5.5  \] 5. Draw the number line and mark the corresponding frequencies with a dot (or tally mark) above each value.  A representation of the line plot is shown below:  \[  \begin{array}{cccc}  \text{4.5} & \text{4.75} & \text{5} & \text{5.5} \\  \text{ } & \text{ } & \text{ } & \text{ } \\  \underbrace{\bullet \quad \bullet \quad \bullet \quad \bullet \quad \bullet \quad \bullet \quad \bullet}_{7} & \bullet & \bullet & \bullet \\  \end{array}  \]  Alternatively, you can list the frequencies directly:  \(\displaystyle  \begin{array}{rl}  4.5: & \bullet\bullet\bullet\bullet\bullet\bullet\bullet \\  4.75: & \bullet \\  5: & \bullet \\  5.5: & \bullet \\  \end{array}  \) 6. The completed line plot shows the category \(4.5\) with 7 dots, and one dot each for \(4.75\), \(5\), and \(5.5\).