title: Getting the center point of a cluster for latitude and longitude in Python
body: <p>I have a list of  of coordinates that have areas mapped out as follows</p>
  <pre><code>df=pd.DataFrame({'user_id':[55,55,356,356,356,356,632,752,938,963,963,1226,2663,2663,2663,2663,2663,3183,3197,3344,3387,3387,3387,3387,3396,3515,3536,3570,3819,3883,3883,3883,3883,3883,3883,3883,3883,3883,3883,3883,3883,4584,4594,4713,4931,4931,5026,5487,5487,5575,5575,5575,5602,5639,5639,5639,5639,5783,5783,5783,5783,5783,5801,6373,6718,6886,6886,7055,7055,7608,7608,7777,8186,8186,8307,8712,9271,9896,9991,9991,9991,],
      'latitude':[13.2633943,13.2633964,12.809677124,12.8099212646,12.8100585938,12.810065981,12.9440132,12.2958104,12.5265661,13.0767648,13.0853577,12.6301221,12.8558120728,12.8558349609,12.8558654785,12.8558807373,12.8558959961,12.9141417,13.0696411133,13.0708333,10.7904833,10.7904833,10.7904833,12.884091,13.0694428,13.204637,12.6922086,13.0767648,13.3489958,12.8653798,12.8654014,12.8654124,12.8654448,12.8654521,12.8654658,12.8654733,12.8654815,12.8654844,12.8655367,12.8655376,12.865576,12.4025539,13.1986348,12.9548317,11.664325,11.6690603,13.0656551,13.1137554,13.1137978,12.770418,12.9141417,12.9141417,15.3530727,12.8285405054,12.8285925,12.8288406,12.829668,12.2958104,12.5583190918,12.7367172241,12.7399597168,12.7422103882,12.8631981,13.3378762,12.5638375681,13.1961683,13.1993678,12.1210997,12.5265661,13.1332778931,13.13331604,12.1210997,13.0649372,13.0658797,12.6955714,12.8213806152,13.0641708374,13.2013835,13.1154662,13.1957473755,13.2329025269,],
                        'longitude':[75.4341412,75.4341377,77.6955155017,77.6952344177,77.6952628334,77.6952629697,75.7926285,76.6393805,78.2149575,77.6397007,77.6445166,77.1145378,77.7985897361,77.7985953164,77.798622112,77.7985610742,77.7986275271,74.8559568,77.6520116309,77.6519444,78.7046725,78.7046725,78.7046725,74.8372421,77.6523596,77.6506622,78.6181131,77.6397007,74.7855559,77.7972191,77.7971733,77.7971429,77.7971621,77.7970823,77.7970327,77.7970371,77.7972272,77.7970335,77.7969649,77.796956,77.7971244,75.9811564,77.7065928,77.4739615,78.1460142,78.139311,77.4380296,77.5732437,77.573201,74.8609332,74.8559568,74.8559568,75.1386825,77.6891233027,77.6899376,77.6892531,77.6902955,76.6393805,77.7842363745,77.7841222429,77.7837989946,77.7830295359,77.4336428,77.117325,75.5833357573,77.7053231,77.7095658,78.1582143,78.2149575,77.5728687166,77.5729374436,78.1582143,77.7435873,77.7444939,78.0620963,77.6606095672,77.746332751,77.7082838,77.6069977,77.7055573788,77.6956690934,],
                        })
  </code></pre>
  <p>For the following latitude longitude pairs I am using DBSCAN to cluster them</p>
  <pre><code>X=np.array(df[['latitude', 'longitude']])
  
  
  kms_per_radian = 6371.0088
  epsilon = 1 / kms_per_radian
  db = DBSCAN(eps=epsilon, min_samples=5) 
  
  model=db.fit(np.radians(X))
  cluster_labels = db.labels_
  num_clusters = len(set(cluster_labels))
  
  cluster_labels = cluster_labels.astype(float)
  cluster_labels[cluster_labels == -1] = np.nan
  
  clusters = pd.Series( [X[cluster_labels==n] for n in range(num_clusters)] )
  
  labels = pd.DataFrame(db.labels_,columns=['CLUSTER_LABEL'])
  
  dfnew=pd.concat([df,labels],axis=1,sort=False)
  </code></pre>
  <p>How do I get the get the center point of these clusters and map it back to the dataset so that when I display the same in folium with a marker and the summary starts there?</p>
  <p>So far I have tried</p>
  <pre><code>def get_centermost_point(cluster):
      centroid = (MultiPoint(cluster).centroid.x, MultiPoint(cluster).centroid.y)
      centermost_point = min(cluster, key=lambda point: great_circle(point, centroid).m)
      return tuple(centermost_point)
  
  centermost_points = clusters.map(get_centermost_point)
  </code></pre>
  <p>which gives me a IndexError: list index out of range error</p>