.pyplot as plt

Data extracted from the image

class_marks = [3.5, 9.5, 15.5, 21.5, 27.5, 33.5, 39.5, 45.5, 51.5, 57.5] team_a = [2, 1, 8, 9, 4, 5, 6, 10, 6, 2] team_b = [5, 6, 2, 10, 5, 6, 3, 4, 8, 10]

Creating the frequency polygons for both teams

plt.figure(figsize=(10, 6))

Team A

plt.plot(class_marks, team_a, marker='o', label='Team A')

Team B

plt.plot(class_marks, team_b, marker='o', label='Team B')

Adding zero-frequency points at the edges for both teams

plt.plot([0, class_marks[0]], [0, team_a[0]], linestyle='--', color='blue', alpha=0.5) plt.plot([class_marks[-1], 60], [team_a[-1], 0], linestyle='--', color='blue', alpha=0.5) plt.plot([0, class_marks[0]], [0, team_b[0]], linestyle='--', color='orange', alpha=0.5) plt.plot([class_marks[-1], 60], [team_b[-1], 0], linestyle='--', color='orange', alpha=0.5)

Setting up the graph

plt.title("Frequency Polygon for Team A and Team B", fontsize=14) plt.xlabel("Class Marks", fontsize=12) plt.ylabel("Frequency", fontsize=12) plt.grid(True, which='both', linestyle='--', linewidth=0.5, alpha=0.7) plt.legend() plt.xticks(range(0, 65, 5)) plt.yticks(range(0Here is the frequency polygon for Team A and Team B based on the provided data. The graph includes:

• Class Marks (x-axis) representing the intervals.
• Frequency (y-axis) showing the respective counts for each team.
• Two polygons, one for each team, with connecting lines extending to the x-axis at the boundaries for completion.

Scale:

• X-axis: Class Marks increment by 5 units per division.
• Y-axis: Frequency increment by 1 unit per division.

Do you have any questions or want further customization? Here are five questions you might consider:

1. Would you like me to add a different scale or style to the graph?
2. Should the graph include cumulative frequencies instead?
3. Do you want to calculate the mean, median, or mode from this data?
4. Would you like a histogram representation along with the frequency polygon?
5. Do you need the data table in a different format for analysis?

Tip: When drawing a frequency polygon manually, start by plotting each frequency at the class mark and ensure to extend the lines to the x-axis at the ends of the data range for a complete shape.