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Population & Demographics Math Center

Density, observed rates, shares and population scenario arithmetic. 20 tools with purposes, formulas and worked examples.

Simple mode uses starting defaults for extra scenario controls. Advanced exposes those controls where available. Change an entry, then press Calculate.

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Formula, calculation steps & example

All 20 tools: purposes and formulas

Population density — Use the labeled measurements to calculate population density.
A ÷ B (A, B, C refer to the labeled entries)
People from density and area — Use the labeled measurements to calculate people from density and area.
A × B (A, B, C refer to the labeled entries)
Area from population and density — Use the labeled measurements to calculate area from population and density.
A ÷ B (A, B, C refer to the labeled entries)
Population numerical change — Use the labeled measurements to calculate population numerical change.
A − B (A, B, C refer to the labeled entries)
Population percentage change — Use the labeled measurements to calculate population percentage change.
(B − A) ÷ A × 100 (A, B, C refer to the labeled entries)
Entered-period births per thousand — Use the labeled measurements to calculate entered-period births per thousand.
A ÷ B (A, B, C refer to the labeled entries)
Entered-period deaths per thousand — Use the labeled measurements to calculate entered-period deaths per thousand.
A ÷ B (A, B, C refer to the labeled entries)
Natural numerical increase — Use the labeled measurements to calculate natural numerical increase.
A − B (A, B, C refer to the labeled entries)
Net migration — Use the labeled measurements to calculate net migration.
A − B (A, B, C refer to the labeled entries)
Population balance — Use the labeled measurements to calculate population balance.
A + B + … (A, B, C refer to the labeled entries)
Average persons per household — Use the labeled measurements to calculate average persons per household.
A ÷ B (A, B, C refer to the labeled entries)
Population subgroup percentage — Use the labeled measurements to calculate population subgroup percentage.
A ÷ B × 100 (A, B, C refer to the labeled entries)
Survey response percentage — Use the labeled measurements to calculate survey response percentage.
A ÷ B × 100 (A, B, C refer to the labeled entries)
Sample as population share — Use the labeled measurements to calculate sample as population share.
A ÷ B × 100 (A, B, C refer to the labeled entries)
Age-band population share — Use the labeled measurements to calculate age-band population share.
A ÷ B × 100 (A, B, C refer to the labeled entries)
Entered dependent-to-working group ratio — Use the labeled measurements to calculate entered dependent-to-working group ratio.
A ÷ B × 100 (A, B, C refer to the labeled entries)
Votes cast as eligible-group share — Use the labeled measurements to calculate votes cast as eligible-group share.
A ÷ B × 100 (A, B, C refer to the labeled entries)
Enrolled as eligible-group share — Use the labeled measurements to calculate enrolled as eligible-group share.
A ÷ B × 100 (A, B, C refer to the labeled entries)
Occupied housing share — Use the labeled measurements to calculate occupied housing share.
A ÷ B × 100 (A, B, C refer to the labeled entries)
Average group size — Use the labeled measurements to calculate average group size.
A ÷ B (A, B, C refer to the labeled entries)

Definitions and source references

Unit definitions and selected model references:

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