Answer:
Part A: The best graphical representation to display the data of the points scored by a basketball team during the first 13 games of the season would be a line graph.
A line graph is appropriate because it allows us to observe the trend and changes in the team's points over time. It provides a visual representation of how the points scored by the team vary from game to game, allowing us to identify any patterns or fluctuations.
Part B: To create a line graph to display the data, follow these steps:
1. Title: Start by giving your graph a clear and descriptive title, such as "Points Scored by Basketball Team in the First 13 Games of the Season."
2. Axes: Label the horizontal axis as "Games" to represent the game numbers from 1 to 13. Label the vertical axis as "Points" to represent the points scored by the team.
3. Scale: Determine the appropriate scale for each axis based on the range of values. For the horizontal axis, assign each game number a tick mark. For the vertical axis, choose a suitable scale that accommodates the range of points scored, ensuring all the data points fit on the graph.
4. Plotting the data: For each game, plot a point on the graph corresponding to the game number on the horizontal axis and the number of points scored on the vertical axis. Repeat this process for all 13 games.
5. Connecting the points: Connect the plotted points with straight lines to form a continuous line that represents the trend of the team's points over the 13 games.
6. Key elements: Include a key or legend if necessary to clarify any additional information or data represented in the graph.
By following these steps, you can create a line graph that effectively displays the points scored by the basketball team in the first 13 games of the season, showcasing the trend and changes in their performance over time.
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