statistics

Original list

First, you measure something, and you make a list, adding entries at the end as you measure it.

What you then get is the Original List, for example:

Let n be the number of measurements, then:

You order the list (for convenience), find common values and count how often each value appears:

Measured y and frequency, grouped by value.
row#	Value	Frequency H	Relative Frequency	Frequency graph
1	1	1	1/8	#
2	4	3	3/8	###
3	5	1	1/8	#
4	7	2	2/8	##
5	9	1	1/8	#

$V(y⃗):=÷{1}{n}⋅\sum\limits_{i=1}^{n} (y_i-y⃗̄)²$

$V(y⃗)=÷{1}{n}⋅(\sum\limits_{i=1}^{n} y_i²)-y⃗̄²$

$V(y⃗)\approx 5.36$

$σ\approx 6.13$

A probability [that an event occurs] is a number between 0 and 1.

A probability distribution gives the probability of a random variable being (exactly|in_the_range_of) some value.

Author: Danny (remove the ".nospam" to send)

Last modification on: Mon, 30 May 2016 in p-value.