# Calculating Percentile of a data set [closed]

Can anyone help me how to compute 25$$^{\text{th}}$$, 50$$^{\text{th}}$$, 75$$^{\text{th}}$$ and 90$$^{\text{th}}$$ perecentile of a dataset.

    data = {1.13, 1.24, 1.25, 1.27, 1.28, 1.29, 1.3, 1.36, 1.39, 1.42,
1.48, 1.48, 1.49, 1.49, 1.5, 1.5, 1.51, 1.52, 1.53, 1.54, 1.55}

• Quantile[data, #] & /@ {0.25, 0.5, 0.75, 0.9} See also Quartiles[data] Jan 12 at 6:17
• Another syntax variation allows a list of quantities: Quantile[data, {1/4, 1/2, 3/4, 9/10}]
– Syed
Jan 12 at 7:09
• Percentile is not exactly the same as Quantile, even if closely related. One issue, other than the obvious 100 scale factor, is that "Percent" is also a Quantity "Unit". Probably this should not be closed? Jan 12 at 10:08
• +5/-0 votes and a +3 vote answer, why should this stay closed? Jan 17 at 9:26

Percentile is closely related to fractile or Quantile, except for the scaling 1 to 100 on the argument and the possibility that such arguments could be a "Percent"age unit from Quantity.

Here I define Percentile to also accept Quantity with explicit "Percent" "Units" and also so it works in operator form.

ClearAll[Percentile];
Percentile[data_List, pc_Quantity]:= Quantile[data, QuantityMagnitude[pc/100, "Percent"]]
Percentile[data_List, pc_]:= Quantile[data, pc/100]
Percentile[pc_]:= Percentile[#,pc]&

Percentile[data, {25,50,75,90}]
(* {1.29,1.48,1.5,1.53} *)

Percentile[data, Quantity[99, "Percent"]]
(* 1.55 *)

Percentile[25] @ data
(* 1.29 *)