Basic boxplot with dots.

box_dot_plot.py

# Import matplotlib
from matplotlib import pyplot as plt

# Define data
data_grp1 = [1, 2, 3, 4, 5, 3, 2, 1, 5, 6, 4, 2, 4]
data_grp2 = [6, 7, 8, 7, 8, 9, 1, 1, 9, 15]

# Boxplot
plt.boxplot([data_grp1, data_grp2])

# Dots
plt.plot([1] * len(data_grp1), data_grp1, 'o')
plt.plot([2] * len(data_grp2), data_grp2, 'o')

# Show plot
plt.show()