Question

a coach has 8 students. she measures how far each student jumps to the nearest \\( \frac { 1 } { 4 } \\) foot. she lists her data.
\\( 3 \frac { 1 } { 4 } , 3 \frac { 2 } { 4 } , 3 , 3 \frac { 1 } { 4 } , 3 \frac { 2 } { 4 } , 3 , 3 \frac { 3 } { 4 } , 3 \frac { 2 } { 4 } \\)
move xs to make a line plot to show the data.
jump
feet

Explanation:

Step1: Count the frequency of each data point

• For \(3\): count the number of \(3\)s in the data \(3\frac{1}{4},3\frac{2}{4},3,3\frac{1}{4},3\frac{2}{4},3,3\frac{3}{4},3\frac{2}{4}\). There are \(2\) values of \(3\).
• For \(3\frac{1}{4}\): count the number of \(3\frac{1}{4}\)s. There are \(2\) values of \(3\frac{1}{4}\).
• For \(3\frac{2}{4}\): count the number of \(3\frac{2}{4}\)s. There are \(3\) values of \(3\frac{2}{4}\).
• For \(3\frac{3}{4}\): count the number of \(3\frac{3}{4}\)s. There is \(1\) value of \(3\frac{3}{4}\).

Step2: Place Xs on the line - plot

• Place \(2\) Xs above \(3\) on the line - plot.
• Place \(2\) Xs above \(3\frac{1}{4}\) on the line - plot.
• Place \(3\) Xs above \(3\frac{2}{4}\) on the line - plot.
• Place \(1\) Xs above \(3\frac{3}{4}\) on the line - plot.

Answer:

On the line - plot:

• Above \(3\): \(2\) Xs
• Above \(3\frac{1}{4}\): \(2\) Xs
• Above \(3\frac{2}{4}\): \(3\) Xs
• Above \(3\frac{3}{4}\): \(1\) Xs