fintech-algorithms
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Count, Sum, Minimum, Maximum, and Range

Install and import#

bash
npm install fintech-algorithms
ts
import { countSumMinimumMaximumAndRange } from "fintech-algorithms/foundations/location-ranking-and-exploratory-summaries/count-sum-minimum-maximum-and-range";

Signature#

countSumMinimumMaximumAndRange(input)

Reduces one numeric series to the five headline aggregates: how many observations there are, their total, the smallest and largest value, and the distance between those extremes.

Parameters#

NameTypeNotes
input{ values: number[] }The observations to summarise, under the key values. Entries are coerced with Number before use, so numeric strings are accepted and anything that coerces to NaN or an infinity is rejected.

Returns#

{ count: number; sum: number; minimum: number; maximum: number; range: number }

count is the number of observations, sum their total, minimum and maximum the extremes, and range is maximum - minimum.

Errors#

  • When input is null, an array, or not an object — throws TypeError
  • When values is missing, is not an array, or is empty — throws RangeError
  • When any entry of values does 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#

input
{
  "values": [1, 2, 2, 4, 9],
  "weights": [1, 1, 2, 1, 1],
  "trimProportion": 0.2,
  "bins": 4
}

Call#

countSumMinimumMaximumAndRange(input)

Returns#

object with 2 fields: count, sum

{
  "count": 5,
  "sum": 18
}

Diagrams#

Count, Sum, Minimum, Maximum, and Range — article hero
Count, Sum, Minimum, Maximum, and Range — calculation ledger
Count, Sum, Minimum, Maximum, and Range — comparison map
Count, Sum, Minimum, Maximum, and Range — concept anatomy
Count, Sum, Minimum, Maximum, and Range — mistake contrast
Count, Sum, Minimum, Maximum, and Range — scenario map

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.

Read the article →

References#

  • Measures of Location
  • Location, Scale, and Shape
  • Historical-example decision

The rest of the Location, Ranking, and Exploratory Summaries family#