To accurately represent the relationship between the age of football players and their market value, a scatter plot is a suitable diagram. A scatter plot helps us visualize how one variable is affected by another. Here's how you can create it step-by-step:
1. Label the Axes:
- The x-axis should be labeled as "Age (years)".
- The y-axis should be labeled as "Market Value (£ millions)".
2. Set the Axes Scales:
- The x-axis (Age) should range from a little below the minimum age to a little above the maximum age, which in this case could be from 20 to 35 years.
- The y-axis (Market Value) should range from a little below the minimum market value to a little above the maximum market value, which in this case could be from 0 to 130 million pounds.
3. Plot the Data Points:
- For each football player, plot a point on the scatter plot corresponding to their age and market value.
Here is the detailed representation:
Data Points:
- (21, 120)
- (30, 22)
- (27, 75)
- (33, 13)
- (24, 90)
- (29, 40)
- (23, 110)
- (26, 60)
Step-by-step Process:
1. Draw the x-axis (horizontal) and label it "Age (years)".
2. Draw the y-axis (vertical) and label it "Market Value (£ millions)".
3. Mark the age axis from 20 to 35.
4. Mark the market value axis from 0 to 130.
5. Plot the points as follows:
- At age 21, mark a point at market value 120.
- At age 30, mark a point at market value 22.
- At age 27, mark a point at market value 75.
- At age 33, mark a point at market value 13.
- At age 24, mark a point at market value 90.
- At age 29, mark a point at market value 40.
- At age 23, mark a point at market value 110.
- At age 26, mark a point at market value 60.
Example Scatter Plot:
(For illustrative purposes, it typically looks like this when hand-drawing or using graphing software.)
```
130 +
|
120 + (21, 120)
|
110 +
| (23, 110)
100 +
|
90 + (24, 90)
|
80 +
|
70 + (27, 75)
|
60 + (26, 60)
|
50 +
|
40 + (29, 40)
|
30 +
|
20 + (30, 22)
|
10 + * (33, 13)
|---------------------------------------------------------------------------
20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
Age (years)
```
This scatter plot helps in visualizing the pattern or trend between the ages of football players and their respective market values.
