Statistical Functions

Statistics is a mathematical discipline which studies ways to collect, summarize and draw conclusions from data. With SpeQ you can calculate the most important statistical properties for a list of values, including the sum, mean, standard deviation, and more. You can read more about using lists in SpeQ on on the page Lists.


Overview

You can use the following built-in statistical functions.
Function Description
Min(a, b, c, ...) Find the minimum value from a list of values
Max(a, b, c, ...) Find the maximum value from a list of values
Mean(a, b, c, ...)
Avg(a, b, c, ...)
Calculate the average value from a list of values
Median(a, b, c, ...) The median of a list of values is the middle value, when sorted from smallest to largest value. If there is an even number of values, the median is the mean of the two middle values.
Sort(a, b, c, ...) Sort the given list in ascending order. When there are complex values in the list the values are sorted by their absolute value.
Sum(a, b, c, ...) Calculate the sum of a list of values
Prod(a, b, c, ...) Calculate the product of a list of values
Var(a, b, c, ...) Calculate the variance of a list of values
Std(a, b, c, ...) Calculate the standard deviation of a list of values
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Definition

The statistical functions are defined as follows.
Definition of the statistical functions
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Examples

'Examples of using Statistical Functions

Min(2, 5, 7)
       Ans = 2
Min(-3, 8, -2, -9.5, 12)
       Ans = -9.5

Max(2, 7, 5)
       Ans = 7
Max(2+8.5, 5, 7, 1.5*Sqrt(16))
       Ans = 10.5

Sum(2, 5, 7)
       Ans = 14
2+5+7
       Ans = 14

Prod(2, 5, 7)
       Ans = 70
2*5*7
       Ans = 70

Mean(1, 2, 4)
       Ans = 2.333333333
(1 + 2 + 4) / 3
       Ans = 2.333333333

Var(2, 5, 8)
       Ans = 9
Std(2, 5, 8)
       Ans = 3

Sort(-3, 8, -2, -9.5, 12)
       Ans = (-9.5, -3, -2, 8, 12)

a = (-3, 8, -2, -9.5, 12)
       Ans = (-3, 8, -2, -9.5, 12)
Sum(a)
       Ans = 5.5

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See Also

Functions Overview, Functionstree, Lists