A Climate Normal Is a Reference Average, Not a Forecast
Read weather reports against climate normals while keeping the location, baseline period, variable, averaging method, and daily variability distinct.
· 6 min readCrispFacts · 116 articles
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Unemployment and Labor-Force Participation Use Different Denominators
Follow a fictional population through employment, unemployment, and participation measures to see why one rate cannot describe every labor-market change.
· 6 min readA Turnout Percentage Needs Both a Vote Count and a Population Definition
Understand why turnout rates differ across registered voters, voting-age populations, survey reports, and administrative records without treating unlike ratios as errors.
· 6 min readA Survey Result Includes the Question That Produced It
Read survey percentages through exact wording, response choices, question order, respondent coverage, and an original worked example of an ambiguous service question.
· 10 min readSeasonally Adjusted Data Remove a Pattern, Not the Need for Context
Understand adjusted and unadjusted series, month-to-month and year-over-year changes, annual rates, revisions, and the limits of a seasonal model.
· 7 min readPopulation Density Is an Area Average, Not a Picture of Every Neighborhood
Calculate population density while keeping land area, boundaries, dates, and settlement patterns clear, including why two equally dense places can feel different.
· 5 min readThe 80th Percentile Does Not Mean 80 Percent Correct
Distinguish percentile ranks from percentages correct, including reference groups, tied scores, cutpoints, and why rank changes do not measure equal score gains.
· 5 min readA Correlation Describes a Pattern; a Causal Claim Needs a Comparison
Work through confounding, reverse direction, selection, random assignment, and nonlinear patterns using an original community-event example.
· 9 min readA Tax Credit and a Deduction Reduce Different Numbers
Understand the arithmetic difference between reducing taxable income and reducing tax, with hypothetical examples of refundable and nonrefundable credits.
· 5 min readA Stock Split Changes the Share Count, Not the Size of the Business
Follow forward and reverse stock splits through share counts, proportional prices, ownership fractions, and the limits of a simple adjustment.
· 5 min readA Positive Dollar Return Can Still Lose Purchasing Power
Calculate nominal and inflation-adjusted returns, distinguish the exact ratio from subtraction, and keep the time period, price index, fees, and taxes clear.
· 6 min readYour Tax Bracket Is Not an Average Rate on Every Dollar
Use a fictional bracket system to distinguish marginal rates, average tax rates, taxable income, credits, withholding, and the effect of an extra dollar.
· 7 min readPrice Change Is Only One Part of Investment Return
Work through income, reinvestment, deposits, fees, annualization, and losses to see what an investment-return percentage includes and what it leaves out.
· 9 min readAn Expense Ratio Is One Layer of Investment Cost
Understand fund operating expenses, separate account charges, fee waivers, and compounding with examples that avoid double-counting costs already in returns.
· 7 min readA Bond’s Face Value, Market Price, and Coupon Are Different Numbers
Read bond face value, purchase price, coupon payments, and yield with examples that keep promised cash flows separate from market value and risk.
· 6 min readProfit, Cash Flow, and a Balance Sheet Tell Different Parts of the Story
Follow a fictional business through a fully reconciled example showing why revenue, profit, operating cash flow, and the cash balance are different figures.
· 10 min readRefrigerator Capacity Does Not Tell You What Will Fit
Separate total storage volume from compartment layout, shelf geometry, exterior dimensions, and door clearance when reading refrigerator specifications.
· 7 min readRecycled Content and Recyclability Describe Different Stages
Separate the material already used to make a product from what can happen after use, including percentage claims, package components, and local collection.
· 6 min read