Please do not try to average percentiles

@mcfunley.com
            
>>> import numpy as np
>>> data = np.random.normal(100, 50, size=100)
>>> np.percentile(data, 95)
175.9854245955235

>>> np.mean([np.percentile(d, 95) for d in data.reshape((10, 10))])
168.50342774852376