Question

roger is training for the upcoming track season and records the number of miles that he runs each day for 20 days: 2.5, 0.5, 1.5, 5, 2, 2.5, 0.5, 4, 4.5, 3, 1.5, 1, 0.5, 2.5, 3, 0.5, 4, 4.5, 2, 4. which dotplot displays the data correctly?

Explanation:

Step1: Count the frequency of each value

• For \(0.5\): count the number of \(0.5\)s in the data set. There are \(4\) \(0.5\)s.
• For \(1\): count the number of \(1\)s. There are \(2\) \(1\)s.
• For \(1.5\): count the number of \(1.5\)s. There are \(2\) \(1.5\)s.
• For \(2\): count the number of \(2\)s. There are \(3\) \(2\)s.
• For \(2.5\): count the number of \(2.5\)s. There are \(3\) \(2.5\)s.
• For \(3\): count the number of \(3\)s. There are \(2\) \(3\)s.
• For \(4\): count the number of \(4\)s. There are \(2\) \(4\)s.
• For \(4.5\): count the number of \(4.5\)s. There are \(2\) \(4.5\)s.

Step2: Check each dot - plot

• Look at the scale of the \(y -\)axis (Miles Run) and the number of dots (frequency) for each value in each dot - plot.
• The correct dot - plot should have the number of dots corresponding to the frequency of each value in the data set.

Answer:

The top - most dot - plot (assuming the first one in the correct format based on frequency - value correspondence as per step 1 and 2 analysis)