stat.md

stat

Statistical calculations

Index

Operation	Description
average, avg	Average
binomial	Binomial coefficient
factorial, fact	Factorial
prod
standard.dev.pop, stdev.p	Population standard deviation
standard.dev.samp, stdev.s	Population standard deviation
sum	Summation
variance.pop, var.p	Population variance
variance.samp, var.s	Sample variance

Operations

average

The average, or aritmetic mean, of the values on the stack. A division undefined error is raised if the stack is empty.

Alias: avg

Macro definition:

def average n push sum pop div

Example:

Input	Stack
0 100 25 75 average	50

binomial

Binomial coefficient where k elements are chosen from a set of n.

Stack effects:

( n:Int/s64 k:Int/s64 -- Int )

Example:

Input	Stack
4 2 binomial	6

factorial

The product of all positive integers less than or equal to n. If n is negative, an invalid argument error is raised.

Alias: fact

Stack effects:

( x:Int/u -- Int )

Example:

Input	Stack
c 3 fact	6
c 10 fact	3628800

prod

The product of all items on the stack. If there are no items on the stack, a one is placed on the stack.

Macro definition:

def prod 1 /mul fold

standard.dev.pop

Standard deviation of the stack where it contains the entire population

Alias: stdev.p

Macro definition:

def standard.dev.pop var.p sqrt

Example:

Input	Stack
2 4 4 4 5 5 7 9	2 | 4 | 4 | 4 | 5 | 5 | 7 | 9
stdev.p	2

standard.dev.samp

Standard deviation of the stack where it contains the entire population

Alias: stdev.s

Macro definition:

def standard.dev.samp var.s sqrt

Example:

Input	Stack
2 4 4 4 5 5 7 9	2 | 4 | 4 | 4 | 5 | 5 | 7 | 9
stdev.s 2 round	2.14

sum

The sum of all items on the stack. If there are no items on the stack, a zero is placed on the stack.

Macro definition:

def sum 0 /add fold

Example:

Input	Stack
1 2 3 4 5	1 | 2 | 3 | 4 | 5
sum	15

variance.pop

Variance of the stack where it contains the entire population.

Alias: var.p

Stack effects:

( Real* -- Real )

Example:

Input	Stack
2 4 4 4 5 5 7 9	2 | 4 | 4 | 4 | 5 | 5 | 7 | 9
var.p	4

variance.samp

Variance of the stack where it contains a sample of the population.

Alias: var.s

Stack effects:

( Real* -- Real )

Example:

Input	Stack
2 4 4 4 5 5 7 9	2 | 4 | 4 | 4 | 5 | 5 | 7 | 9
var.s 2 round	4.57