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.
Age Time
24 32.75
29 33.63
34 34.84
39 35.33
44 35.23
49 36.16
To construct the scatterplot, we need to plot the age values on the x-axis and the corresponding time values on the y-axis.
The scatterplot for the given data is as follows:
To construct a scatterplot based on the given data, you will plot the age of the runners on the x-axis and the corresponding times on the y-axis. The steps to construct the scatterplot are as follows:
Step 1: Create a coordinate system: Create a graph paper with the x-axis and y-axis labeled.
Step 2: Label the axes: On the x-axis, label it as "Age" and on the y-axis, label it as "Time".
Step 3: Mark the data points: Plot each data point on the graph paper according to the age and time values given in the table. For example, for the first data point (24, 32.75), find the intersection of 24 on the x-axis and 32.75 on the y-axis, and place a dot at that point. Repeat this step for all the data points.
Step 4: Connect the data points: Once all the data points are marked, connect them using a straight line or a smooth curve. This will give you the scatterplot.
Below is a descriptive representation of the scatterplot based on the given data:
```
Time
^
|
| x
36 | x
|
| x
|
| x
34 | x
|
| x
|
|
32 | x
|_________________________________________________________________
24 29 34 39 44 49 Age
```
Note: The x's represent the data points plotted on the scatterplot. The x-axis represents the age of the runners, and the y-axis represents the corresponding times for the marathon.
To construct a scatter plot based on the given data, follow these steps:
1. Draw a vertical y-axis to represent the Time variable and a horizontal x-axis to represent the Age variable.
2. Mark the age values (24, 29, 34, 39, 44, and 49) evenly spaced along the x-axis.
3. Mark the time values (32.75, 33.63, 34.84, 35.33, 35.23, and 36.16) on the y-axis corresponding to their respective age on the x-axis.
4. Plot a point on the graph for each age and time combination. For example, for the age of 24 and time of 32.75, plot a point at the intersection of 24 on the x-axis and 32.75 on the y-axis.
5. Repeat this process for all the data points provided in the table.
6. Connect the points on the graph using a straight line or a smooth curve to depict the trend or relationship between age and time.
Remember to label your axes with appropriate titles and units (e.g., "Age (years)" and "Time (minutes)") to make the scatter plot clear and understandable.