Frequencies: frequencies frequences

9.1.12 Frequencies: frequencies frequences

The frequency of a number in a list is the fraction of the list equal to the number. The frequencies command finds the frequencies of the numbers in a list.
frequences is a synonym for frequencies.

frequencies takes one argument:
L, a list of numbers.
frequencies(L) returns a list whose elements are the numbers in the list and their frequencies.

Example.
Input:

frequencies([1,2,1,1,2,1,2,4,3,3])

Output:

⎡
⎢
⎢
⎢
⎣

1	0.4
2	0.3
3	0.2
4	0.1

⎤
⎥
⎥
⎥
⎦

You can use this, for example, to simulate flipping a fair coin and seeing how many times each side appears; to flip a coin 1000 times, for example:
Input:

frequencies([rand(2) $ (k=1..1000)])

Output (for example):

⎡
⎢
⎣

0	0.484
1	0.516

⎤
⎥
⎦

(See Section ‍9.3.1 for information on rand.)