Percentile Linear returns incorrect value. #7875
Description
The percentile function does not return the expected values. It seems to be getting the linear distance between two points the wrong way around and returns a value closer to the lower number.
For example:
array([ 110531353, 167471747, 167471747, 183000406,
200000000, 759174457, 921094606, 931142911,
1300000000, 1341797102, 1380317195, 1380317195,
1500000000, 1500000000, 1500000000, 1830004057,
1932444073, 2000000000, 2000000000, 2345976525, 2500000000,
2745006085, 2847019692, 3000000000, 3000000000, 3000000000,
3000000000, 3312761268, 3500000000, 3588824707, 4000000000,
4140951585, 5000000000, 6600000000, 7100000000, 7717299940,
8445515490, 8972061767, 9662220364, 11000000000, 11042537559,
12422854754, 13000000000, 13000000000, 13803171949, 15000000000,
17000000000, 20000000000, 22085075118, 24845709508, 32025070994,
34000000000, 35000000000, 36000000000, 36000000000, 39453076027,
40000000000, 46930784627, 82819031694, 110425375592], dtype=int64)
> > > np.percentile(a,75)
> > > 14102378961.75
> > > np.percentile(a,50)
> > > 3794412353.5
> > > np.percentile(a,25)
> > > 1747503042.75
expected values:
75 = 14700792987.25
50 = 3794412353.5
25 = 1582501014.25
When reading the documentation the linear methodology seems correct but there possibly could be an issue with the fraction it is using??