Use the table to answer the question.

Question

Times of Runners by Age

Age Time
24 32.75
29 33.63
34 34.84
39 35.33
44 35.23
49 36.16
A group of students was evaluating the average times of groups of runners for a 5K marathon. Construct the scatterplot based on the data in the table.

(1 point)

Answer 1

To create a scatterplot based on the data you’ve provided, follow these steps:

1. Identify the Axes:

   • X-axis: This will represent the "Age" of the runners.
   • Y-axis: This will represent the "Time" (in minutes) taken to complete the 5K marathon.

2. Plot the Data Points:

   • Based on the table provided, the points to plot are:
     • (24, 32.75)
     • (29, 33.63)
     • (34, 34.84)
     • (39, 35.33)
     • (44, 35.23)
     • (49, 36.16)

3. Scale the Axes:

   • Choose appropriate scales for both axes. For instance:
     • Age could be from 20 to 50 (or a little wider for better spacing).
     • Time could be from 30 to 40 minutes.

4. Draw the Scatterplot:

   • On graph paper or using graphing software, mark each of the points on the graph according to their coordinates.

Example Representation:

• X-Axis (Age): [20, 25, 30, 35, 40, 45, 50]
• Y-Axis (Time): [30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40]

Each of the points can be marked on this graph, resulting in a scattered distribution reflecting the age and corresponding times of the runners.

For visual representation, you would typically utilize graphing tools or software to generate the scatterplot if required.