Worked example · EX:economics-and-market-foundations/reconcile-cedar-labor-force-rates

Reconcile Cedar labor-force rates

Build the labor force and outside labor force residual before computing unemployment, participation, and employment population rates.

Updated Aug 7, 2026 Review due Nov 7, 2026
Worked-example setupScope and assumptions
  • All fictional counts use the same survey definitions, population, age boundary, reference period, and seasonal convention.
Period
One fictional reference month
Units
thousands of people and unit-free rates
Rounding
Exact for supplied values; percentages to one decimal point when displayed

Start with the population-state reconciliation:

labor force = 120 employed + 5 unemployed = 125
outside labor force = 200 - 125 = 75
unemployment rate = 5 / 125 = 4.0%
participation rate = 125 / 200 = 62.5%
employment-population ratio = 120 / 200 = 60.0%

Dividing five by 200 would not produce the unemployment rate; it would mix the unemployed numerator with the participation population denominator. A lower unemployment rate next month would not prove employment rose without the three population-state levels.

The table still omits hours, earnings, involuntary part time, duration, job quality, demographic composition, and sampling uncertainty. Correct arithmetic is the beginning of labor-market interpretation, not the whole analysis.

Verified calculation · economics foundations analysis

The curriculum loader recomputed this example before it entered the site build. Expand any structured input to inspect the stated facts.

labor markets
1 field
Inspect data
{
  "cedar_labor": {
    "civilian_noninstitutional_population": 200,
    "employed": 120,
    "unemployed": 5
  }
}

Recomputed result

Values recomputed by the curriculum loader
MeasureValue
employment population ratio0.6
labor force125
labor force participation rate0.625
not in labor force75
unemployment rate0.04