Arithmetic Mean
Install and import#
npm install fintech-algorithmsimport { arithmeticMean } from "fintech-algorithms/foundations/location-ranking-and-exploratory-summaries/arithmetic-mean";Signature#
arithmeticMean(input)Divides the sum of a numeric series by the number of observations and reports both the mean and the count it was divided by.
Parameters#
| Name | Type | Notes |
|---|---|---|
input | { values: number[] } | The observations to average, under the key values. Entries are coerced with Number, and every one must be finite. |
Returns#
{ mean: number; count: number }
mean is the arithmetic average and count is the divisor used, so the reader can see how many observations stand behind the number.
Errors#
- When
inputis null, an array, or not an object — throws TypeError - When
valuesis missing, is not an array, or is empty — throws RangeError - When any entry of
valuesdoes not coerce to a finite number — throws RangeError
Complexity: time O(n log n),
space O(n).
Worked example#
verified This is the worked example published in the article, replayed by the test suite on every run. The output cannot drift.
Input#
{
"values": [1, 2, 2, 4, 9],
"weights": [1, 1, 2, 1, 1],
"trimProportion": 0.2,
"bins": 4
}Call#
arithmeticMean(input)Returns#
object with 2 fields: mean, count
{
"mean": 3.6,
"count": 5
}Diagrams#
How it works#
This page states the contract — how to call it correctly. The article explains the concept: why it works, and where it breaks.
References#
- Measures of Location
- Historical-example decision