title: Find out centre of the most dense region in a scatter plot
body: <p>I have a set of x and y coordinates. I want to plot them and find out which region is densely plotted. I want to find the coordinates of the centre of that region.</p>
  
  <p>I have written a code for plotting the points in x-y plane.</p>
  
  <pre class="lang-py prettyprint-override"><code>import numpy as np
  import matplotlib.pyplot as plt
  x = np.array([111,152,153,14,155,156,153,154,153,152,154,151,200,201,200])
  y = np.array([112,151,153,12,153,154,155,153,152,153,152,153,202,202,204])
  plt.scatter(x,y)
  plt.show()
  </code></pre>
  
  <p>However, I'm not able to find out the centre of the densely plotted region. Can someone help me out?</p>