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import matplotlib.pyplot as plt

# Data
midpoints = [13.25, 19.5, 25.5, 31.5, 37.5, 43.5]
frequencies = [12, 8, 4, 4, 2, 1]

# Plot the frequency polygon
plt.figure(figsize=(8,6))
plt.plot(midpoints, frequencies, marker='o', linestyle='-', color='b', label='Frequency Polygon')

# Labels and title
plt.title('Frequency Polygon for Given Data')
plt.xlabel('Midpoint (x)')
plt.ylabel('Frequency (f)')
plt.grid(True)

# Show the plot
plt.legend()
plt.show()