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In plt.boxplot(), by specifying the showfliers=False argument, you can suppress the outliers, so it plots only up to the whiskers on both sides. By specifying the vert=False argument, you can plot the box plots horizontally, and outliers can also be customized with different shapes and colors:

plt.boxplot(data, vert=False, flierprops=dict(markerfacecolor='r', 
            marker='D'))
plt.show()

You should see the following output: