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Charitable Donation Concentration Index Calculator

Calculate a simplified concentration index from the five largest recipient shares.

Runs locally

Inputs and results stay in this browser. Currency symbols are illustrative; use any consistent currency.

Top-five donation concentration index1,014
Top-five recipient-group share66%
Other recipient-group share34%

Understand Charitable Donation Concentration Index

One idea, three depths

Choose how deeply to explain Charitable Donation Concentration Index

Charitable Donation Concentration Index: Calculate a simplified concentration index from the five largest recipient shares.

Age 5Explain it to a 5-year-oldStart with a picture

Imagine using Charitable Donation Concentration Index to answer this question: calculate a simplified concentration index from the five largest recipient shares? Enter Largest recipient-group share, Second-largest group share, Third-largest group share, and 2 other inputs; the calculator shows Top-five donation concentration index. Try changing one number and watch what happens to Top-five donation concentration index. The answer tells you Top-five donation concentration index.

Age 15Explain it to a 15-year-oldConnect it to the formula

This simplified measure omits smaller recipients and depends on consistent recipient grouping. The rule is Concentration index = sum of squared recipient-group percentage shares. Its input values are Largest recipient-group share (%), Second-largest group share (%), Third-largest group share (%), Fourth-largest group share (%), Fifth-largest group share (%), and the main result is Top-five donation concentration index. Try changing one number and watch what happens to Top-five donation concentration index.

CollegeExplain it at college levelState the model precisely

This calculator evaluates a macroeconomics relationship while holding unmodelled conditions constant. The implemented relation is Concentration index = sum of squared recipient-group percentage shares, evaluated from Largest recipient-group share (%), Second-largest group share (%), Third-largest group share (%), Fourth-largest group share (%), Fifth-largest group share (%) to produce Top-five donation concentration index. This simplified measure omits smaller recipients and depends on consistent recipient grouping. The result depends on comparable definitions, units, populations and time periods. It estimates a relationship; it does not establish causation or replace current primary data.

The economic question

Calculate a simplified concentration index from the five largest recipient shares.

Why this relationship is useful

This simplified measure omits smaller recipients and depends on consistent recipient grouping.

Inputs that must be comparable

  • Largest recipient-group share measured in %.
  • Second-largest group share measured in %.
  • Third-largest group share measured in %.
  • Fourth-largest group share measured in %.
  • Fifth-largest group share measured in %.

Use one market, firm, population and time period throughout; mixing definitions can make a correctly calculated number economically meaningless.

The model

Concentration index = sum of squared recipient-group percentage shares

From inputs to output

The calculator combines Largest recipient-group share, Second-largest group share, Third-largest group share, Fourth-largest group share, Fifth-largest group share and reportsTop-five donation concentration index together with Top-five recipient-group share, Other recipient-group share. Change one assumption at a time to identify what actually drives the estimate.

How to read Top-five donation concentration index

Read the sign, magnitude, unit and period together. The result quantifies the relationship in “calculate a simplified concentration index from the five largest recipient shares”; it does not by itself prove that one input caused another.

Where interpretation can fail

Do not use the result when the input definitions, units or formula assumptions do not match the real situation. This is an educational model, not financial, investment, tax or policy advice; verify material decisions against primary data and professional guidance.

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Supporting sourcesAcademic referencesPrimary standards, textbooks and complete citations

Standards, reading and academic references

Use the calculator as the worked interaction, then consult the primary standards and academic textbooks listed below. MW SysArc links to the original sources; the explanation on this page is original and does not reproduce them.

Principles of Economics 3e

Read the free OpenStax economics textbook
Cite this book
APA 7
Greenlaw, S. A., Shapiro, D., & MacDonald, D. (2022). Principles of economics 3e. OpenStax. https://openstax.org/books/principles-economics-3e/pages/1-introduction
MLA 9
Greenlaw, Steven A., et al. Principles of Economics 3e. OpenStax, 2022, https://openstax.org/books/principles-economics-3e/pages/1-introduction.
Chicago author-date
Greenlaw, Steven A., David Shapiro, and Daniel MacDonald. 2022. Principles of Economics 3e. Houston, TX: OpenStax. https://openstax.org/books/principles-economics-3e/pages/1-introduction.

OpenStax entries are free to read online. Follow the licence shown on each linked source before redistributing or adapting its content.

Reuse the page responsiblyCite this pageAPA, MLA, Chicago, Harvard, BibTeX and RIS

These formats cite this calculator page itself. They are separate from the academic references above, which support the mathematical method and terminology.

Organizational author: MW SysArc. Published:. Canonical page:https://economics.mwsysarc.com/macro/charitable-donation-concentration-index.

APA 7

MW SysArc. (2026, July 21). Charitable Donation Concentration Index Calculator. MW SysArc Tools. https://economics.mwsysarc.com/macro/charitable-donation-concentration-index

MLA 9

MW SysArc. “Charitable Donation Concentration Index Calculator.” MW SysArc Tools, 21 July 2026, https://economics.mwsysarc.com/macro/charitable-donation-concentration-index. Accessed 30 Aug. 2026.

Chicago 17

MW SysArc. “Charitable Donation Concentration Index Calculator.” MW SysArc Tools. Published July 21, 2026. Accessed August 30, 2026. https://economics.mwsysarc.com/macro/charitable-donation-concentration-index.

Harvard

MW SysArc (2026) ‘Charitable Donation Concentration Index Calculator’, MW SysArc Tools. Published 21 July 2026. Available at: https://economics.mwsysarc.com/macro/charitable-donation-concentration-index (Accessed: 30 August 2026).

BibTeX and RIS records

BibTeX

@misc{mwsysarc_charitable_donation_concentration_index_2026,
  author = {{MW SysArc}},
  title = {Charitable Donation Concentration Index Calculator},
  howpublished = {MW SysArc Tools},
  year = {2026},
  url = {https://economics.mwsysarc.com/macro/charitable-donation-concentration-index},
  note = {Published July 21, 2026; accessed August 30, 2026}
}

RIS

TY  - ELEC
AU  - MW SysArc
TI  - Charitable Donation Concentration Index Calculator
T2  - MW SysArc Tools
PY  - 2026
DA  - 2026-07-21
Y2  - 2026-08-30
UR  - https://economics.mwsysarc.com/macro/charitable-donation-concentration-index
N1  - Published July 21, 2026
ER  -

Clear answers

Frequently asked questions

What does the Charitable Donation Concentration Index do?

Calculate a simplified concentration index from the five largest recipient shares.

How does the Charitable Donation Concentration Index work?

The calculator applies this formula: Concentration index = sum of squared recipient-group percentage shares. This simplified measure omits smaller recipients and depends on consistent recipient grouping.

What can I learn from the Charitable Donation Concentration Index?

It helps you explore the relationship described by this tool: Calculate a simplified concentration index from the five largest recipient shares. Change one input at a time to observe how it affects the result.

Does MW SysArc receive or store what I enter?

No. The calculation runs locally in your browser. MW SysArc does not receive or store your calculation inputs.

How should I use the result?

Use the result as an estimate or educational aid. Check important financial, business or policy decisions with qualified sources and current data.

Last reviewed . Calculations tested .

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