You can use the keys
as bin positions and the values
as weights of the histogram, doing the following:
import numpy as np
import matplotlib.pyplot as plt
d = {5.207403005022627: 0.69973543384229719, 6.8970222167794759: 0.080782939731898179, 7.8338517407140973: 0.10308033284258854, 8.5301143255505334: 0.018640838362318335, 10.418899728838058: 0.14427355015329846, 5.3983946820220501: 0.51319796560976771}
a = np.array(d.items())
a = a[np.argsort(a[:,0])]
x, weights = a.T
plt.figure(figsize=(5,4))
plt.hist(x, weights=weights)
plt.show()
which gives: