To determine which scatterplot accurately represents the average 5K marathon times by age based on the data provided in the table, we need to plot the data points (Age, Time) as follows:
- (24, 32.75)
- (29, 33.63)
- (34, 34.84)
- (39, 35.33)
- (44, 35.23)
- (49, 36.16)
From these data points, we can analyze the options:
- The x-axis should represent age ranging from lower than 24 to over 49 (ideally from 20 to 50) and the y-axis should represent time, ranging from approximately 30 to 40 minutes.
- Each point should correspond to the values for age on the x-axis and average time on the y-axis.
With this in mind, the correct scatterplot should correctly position the data points with:
- Age = 24 on x-axis and Time = 32.75 on y-axis.
- Age = 29 on x-axis and Time = 33.63 on y-axis.
- Age = 34 on x-axis and Time = 34.84 on y-axis.
- Age = 39 on x-axis and Time = 35.33 on y-axis.
- Age = 44 on x-axis and Time = 35.23 on y-axis.
- Age = 49 on x-axis and Time = 36.16 on y-axis.
Based on this analysis, the correct scatterplot will likely show the following:
- A well-defined x-axis representing age in increments that include the ages in the data.
- A well-defined y-axis that covers the time range in increments appropriate for the average times.
Given your descriptions of the scatterplots, look for the one that matches the appropriate y-values (around 30-40 minutes) against the correct ages on the x-axis. It sounds like none of the descriptions provided the right range for both axes.
We can conclude that an appropriate scatterplot has:
- Age in years ranging from slightly below 24 to above 49.
- Time in minutes ranging around 30 to 40.
If we identify any plot where time and age are plotted correctly according to these ranges, that would be the correct choice.