Income Quintile Share Calculator

Actual already resolved five equal-population income quintile totals into all five shares, not a single top-fraction sample tool, automatic grouping or implied social status. Income nonnegative branch/same currency/exposure independently established.

Description

Income quintiles divide a population into five equally populated groups.

Income quintiles divide a population into five equally populated groups.^[1]

Income totals for those already resolved groups determine their shares of total income. The calculation and input requirements are explained below.

When to use Income Quintile Share Calculator

Enter exactly five nonnegative income totals for independently resolved equal-population quintiles.

How to use Income Quintile Share Calculator and how it works

Prepare the measurements or independently established model inputs described below, with matching units and observation scope.
Enter the required fields and run Income Quintile Share Calculator.
Read the result fields using the formula, output units, signs and ordering explained below.
Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.

Input field	Meaning	Value type	Requirement
actualIndependentlyResolvedQuintileIncomeTotals	Actual Independently Resolved Quintile Income Totals. Use the units and matching context stated in the calculation below.	array of number	Required; other constraints below

Enter exactly five nonnegative income totals for independently resolved equal-population quintiles. Require a positive grand total. Return all five totals divided by that total and multiplied by 100, in supplied quintile order.

quintilePercent_i=100*incomeTotal_i/sum(incomeTotals)

Apply the input ordering, units and branch conditions stated above.

Output field	Meaning	Value type
result	Object containing the calculated or selected fields below.	object
result.observedQuintileIncomePercentShares	Observed Quintile Income Percent Shares. Interpret its unit, sign, order or availability flag as explained above.	array of number

json

{
  "input": {
    "actualIndependentlyResolvedQuintileIncomeTotals": [
      1,
      2,
      3,
      4,
      10
    ]
  },
  "output": {
    "result": {
      "observedQuintileIncomePercentShares": [
        5,
        10,
        15,
        20,
        50
      ]
    }
  }
}

Limitations and assumptions

The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.

All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.

Alternative or Complementary methods

Use Middle Class Share Percentage Calculator for a complementary operation: The middle-class share depends on a caller-defined classification and eligible population.

Use Hoover Index Calculator for a complementary operation: The Hoover index summarizes income deviations from the mean relative to total income.

References

Income Quintile Share Calculator — tool.io

Similar or alternative tools

Middle Class Share Percentage Calculator
The middle-class share depends on a caller-defined classification and eligible population.
Hoover Index Calculator
The Hoover index summarizes income deviations from the mean relative to total income.