7 Dean measures the lengths of 12 pieces of used chalk to the nearest half inch. Make a line plot to show the data. \( 2 \frac{1}{2}, 1 \frac{1}{2}, 2,1 \frac{1}{2^{\prime}} \) \( 2,1,1 \frac{1}{2}, 1 \frac{1}{2} \) \( 2, \frac{1}{2}, 1 \frac{1}{2}, 2 \frac{1}{2} \)

The data given are the lengths (in inches) of 12 pieces of chalk. First, we list all the measurements by converting mixed numbers to decimals: - Row 1:   \(2\frac{1}{2}=2.5\), \(1\frac{1}{2}=1.5\), \(2=2.0\), \(1\frac{1}{2}=1.5\) - Row 2:   \(2=2.0\), \(1=1.0\), \(1\frac{1}{2}=1.5\), \(1\frac{1}{2}=1.5\) - Row 3:   \(2=2.0\), \(\frac{1}{2}=0.5\), \(1\frac{1}{2}=1.5\), \(2\frac{1}{2}=2.5\) Now, count the frequency of each measurement: - \(0.5\): 1 piece - \(1.0\): 1 piece - \(1.5\): 5 pieces (two from Row 1, two from Row 2, one from Row 3) - \(2.0\): 3 pieces (one from each row) - \(2.5\): 2 pieces (one from Row 1 and one from Row 3) A line plot (also known as a dot plot) can be drawn with a number line labeled to the nearest half inch. For each measurement, plot an "X" representing one piece of chalk. The line plot is: Length (inches) | Frequency :-------------:|:---------: \(0.5\) | X \(1.0\) | X \(1.5\) | XXXXX \(2.0\) | XXX \(2.5\) | XX This line plot visually represents the data collected by Dean.