# Quantiles: quantile

### 8.1.7 Quantiles: quantile

Similar to quartiles, a quantile of a list is the number q such that a given fraction of the list numbers fall at or below q. The first quartile, for example, is the quantile with the fraction 0.25.

The quantile command finds quantiles.

- quantile takes two mandatory arguments and one optional argument:
  - L, a list of numbers.
  - Optionally, W, a list of weights.
  - p, a number between 0 and 1.
  quantile(L,p) returns the pth quantile of L.

#### Examples.

- Input:

  A:= [0,1,2,3,4,5,6,7,8,9,10,11]
  quantile(A,0.1)

  Output:

  1.0

- Input:
  quantile(A,A,0.25)
  Output:

  6