I have a bar chart:

x_axis = [rate_score for rate_score in hotels_ratings_count_dict.keys()]
y_axis = [num_hotels for num_hotels in hotels_ratings_count_dict.values()]

plt.bar(x_axis,y_axis, width=0.3)

plt.title("Distribution of hotel rate score")

plt.xlabel("Rate Score")
plt.ylabel("Number of hotels")

plt.grid(True)

plt.show()

And the plot looks like this:

I would like to try the following:

1. Add a curve that goes above the top of bars (like a left-skewed distribution curve)
2. Insert a vertical line to mean and median (will be manually calculated)

Could anyone teach me how to do this please? Many thanks!