<｜begin▁of▁sentence｜>### Instruction:
As a data analyst working in a research institution, you have been studying the distribution of social interactions in a small community by generating synthetic data using a power law distribution. In order to better understand the underlying pattern of the data, you need to fit a power law to the generated dataset. Could you fit a power law to the data and provide a string representation of the fitted power law, as well as visualize the data and the fitted distribution using matplotlib?
### Response:
from powerlaw import Fit
import matplotlib.pyplot as plt

# Generate synthetic data from a power law distribution
synthetic_data = powerlaw.Power_Law(xmin=1, parameters=[2.5]).generate_random(100)

# Fit the power law distribution to the synthetic data
fit = Fit(synthetic_data, xmin=1)

# Print a string representation of the fitted power law
print(str(fit.power_law))

# Optional: Visualize the data and the fitted distribution
plt.figure(figsize=(8,6))
fit.plot_pdf(color='b', linewidth=2)
fit.power_law.plot_pdf(color='b', linestyle='--')
plt.show()
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