The average 5K marathon times for runners of various ages are shown in the table.

Age: 24,29,34,39,44,49
Time: 32.75,33.63,34.84,35.33,35.23,36.16,
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 answer

To construct the scatterplot based on the data provided, you can follow these steps:

  1. Prepare the Data: We have two sets of data. The first set represents age (in years) and the second set represents average 5K marathon times (in minutes). Here’s the data again for reference:

    • Ages: 24, 29, 34, 39, 44, 49
    • Times: 32.75, 33.63, 34.84, 35.33, 35.23, 36.16
  2. Create the Axes:

    • X-axis: This will represent the ages of the runners.
    • Y-axis: This will represent the average 5K marathon times.
  3. Plot the Points: For each age, plot the corresponding time. The data points will be:

    • (24, 32.75)
    • (29, 33.63)
    • (34, 34.84)
    • (39, 35.33)
    • (44, 35.23)
    • (49, 36.16)
  4. Visualize: You can use graphing software, online tools, or graph paper to plot these points.

If you are plotting it manually, here’s a simplified description of how it could look:

  • For age 24, place a point at (24, 32.75).
  • For age 29, place a point at (29, 33.63).
  • For age 34, place a point at (34, 34.84).
  • For age 39, place a point at (39, 35.33).
  • For age 44, place a point at (44, 35.23).
  • For age 49, place a point at (49, 36.16).
  1. Title and Labels: Make sure to label the axes:
    • X-axis: "Age (years)"
    • Y-axis: "Average 5K Marathon Time (minutes)"
    • Provide a title for the scatterplot, like "Average 5K Marathon Times by Age".

If you would like, I can assist with a description of how to visualize it or guide you to tools that could help you create the scatterplot digitally.