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

1. List the data values from the three groups: - First group: \(2\frac{1}{2},\; 1\frac{1}{2},\; 2,\; 1\frac{1}{2}\) - Second group: \(2,\; 1,\; 1\frac{1}{2},\; 1\frac{1}{2}\) - Third group: \(2,\; \frac{1}{2},\; 1\frac{1}{2},\; 2\frac{1}{2}\) 2. Combine the measurements into one list (12 pieces in total): \[ 2\frac{1}{2},\; 1\frac{1}{2},\; 2,\; 1\frac{1}{2},\; 2,\; 1,\; 1\frac{1}{2},\; 1\frac{1}{2},\; 2,\; \frac{1}{2},\; 1\frac{1}{2},\; 2\frac{1}{2} \] 3. Tally the frequency of each measurement. The possible measurements (in inches) to the nearest half inch are: - \(\frac{1}{2}\) - \(1\) - \(1\frac{1}{2}\) - \(2\) - \(2\frac{1}{2}\) Count each value: - Count of \(\frac{1}{2}\): \(1\) time - Count of \(1\): \(1\) time - Count of \(1\frac{1}{2}\): \(5\) times - Count of \(2\): \(3\) times - Count of \(2\frac{1}{2}\): \(2\) times 4. Construct the line plot. For each measurement, represent each occurrence with an "x". The line plot is: - \( \frac{1}{2} \; | \; x \) - \( 1 \; | \; x \) - \( 1\frac{1}{2} \; | \; x\, x\, x\, x\, x \) - \( 2 \; | \; x\, x\, x \) - \( 2\frac{1}{2} \; | \; x\, x \)