Question

mia has 8 pieces of chalk. she measures the length of each piece of chalk to the nearest \\( \frac { 1 } { 2 } \\) inch. she lists her data.
\\( 2 \frac { 1 } { 2 }, 3, 2 \frac { 1 } { 2 }, 1 \frac { 1 } { 2 }, \frac { 1 } { 2 }, 2 \frac { 1 } { 2 }, 2, 3 \frac { 1 } { 2 } \\)
move xs to make a line plot to show the data.
chalk length
inches
x

Explanation:

Step1: Count the frequency of each data value

• For \(\frac{1}{2}\): There is \(1\) piece.
• For \(1\frac{1}{2}\): There is \(1\) piece.
• For \(2\): There is \(1\) piece.
• For \(2\frac{1}{2}\): There are \(4\) pieces (\(2\frac{1}{2}\) appears \(4\) times in the data set \(2\frac{1}{2},3,2\frac{1}{2},1\frac{1}{2},\frac{1}{2},2\frac{1}{2},2,3\frac{1}{2}\)).
• For \(3\): There is \(1\) piece.
• For \(3\frac{1}{2}\): There is \(1\) piece.

Step2: Place Xs on the line - plot

• Place \(1\) X above \(\frac{1}{2}\).
• Place \(1\) X above \(1\frac{1}{2}\).
• Place \(1\) X above \(2\).
• Place \(4\) Xs above \(2\frac{1}{2}\).
• Place \(1\) X above \(3\).
• Place \(1\) X above \(3\frac{1}{2}\).

Answer:

The line - plot will have \(1\) X at \(\frac{1}{2}\), \(1\) X at \(1\frac{1}{2}\), \(1\) X at \(2\), \(4\) Xs at \(2\frac{1}{2}\), \(1\) X at \(3\) and \(1\) X at \(3\frac{1}{2}\) on the given number line.