Question

Use the table to answer the question.

Times of Runners by Age

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.

Answer 1

Here are the points from the table (Age, Time in minutes):
- (24, 32.75)
- (29, 33.63)
- (34, 34.84)
- (39, 35.33)
- (44, 35.23)
- (49, 36.16)

To construct the scatterplot manually
1. Draw horizontal (x) and vertical (y) axes.
- Label x-axis "Age (years)" and y-axis "Time (minutes)".
2. Choose ranges and tick marks:
- x-axis: 20 to 50 (tick every 5 years: 20, 25, 30, 35, 40, 45, 50).
- y-axis: 32.0 to 37.0 (tick every 0.5 minutes: 32.0, 32.5, 33.0, …, 37.0).
3. Plot each point at the corresponding (age, time) coordinate.
4. Optionally add a title like "5K Times by Age" and, if desired, fit a trend line to see the general direction.

Quick interpretation: the points show a slight upward trend in time as age increases (times get a little slower with age).

If you want to plot this in software:
- Excel/Sheets: put Age in column A, Time in column B, select both columns → Insert → Scatter plot.
- Desmos/GeoGebra: enter the list of points as {(24,32.75),(29,33.63),...} and view the scatterplot.