How rare is the man you want?

This is the share of U.S. men ages 25–54 who meet every bar you set. Each trait is its own published distribution. The headline multiplies those shares. You can recompute it from the percentages on the odds card.

Height is normal, mean 68.9 in (175 cm), SD 2.87 in. The mean is CDC NHANES August 2021–August 2023 for men 20 and older. The SD is chosen so about 14% of men are 6′0″ or taller, matching CDC commentary on that cycle.

Income is lognormal — piled on the left, long right tail. Median $58,000, σ of ln(income) = 0.80, in the spirit of Census CPS ASEC male personal earnings, not household income. The model understates the very richest tail.

Intelligence is IQ ~ Normal(100, 15), the Wechsler convention. “Superior” begins around 120; “very superior” around 130.

BMI is a ceiling: the share of men at or below the number you set. Lognormal, median 28.6, fitted so about 23% of men are at or below 25 (healthy weight or under) and about 39% are 30 or above (obesity) — CDC NHANES men, 2021–2023. Severe obesity is a bit thinner in the model than in the survey. WHO cutoffs mark the ticks: 18.5, 25, 30, 40.

Politics uses Gallup’s five-point ideology map — very conservative, conservative, moderate, liberal, very liberal. Three-point shares for U.S. men (Gallup 2023, by age) are weighted to 25–54: 38% conservative, 40% moderate, 22% liberal. Those are split into five points using Gallup 2024’s within-conservative and within-liberal ratios. Tap every alignment you would accept. Leave them all off if politics is not a bar.

Do these move together? Not strongly. The largest well-measured links are IQ with education (r ≈ 0.56) and IQ with occupational status (r ≈ 0.43). For the sliders on this page, published correlations among U.S. men sit in the weak-to-modest band:

• IQ and income: r ≈ 0.20–0.23 (Strenze 2007 longitudinal meta-analysis).
• Height and income: r ≈ 0.15–0.20 (height premium; Case & Paxson, Tyrrell et al.).
• Height and IQ: r ≈ 0.15–0.20.
• BMI and income, in men: r ≈ −0.05 to −0.10 (Tyrrell et al., UK Biobank; far weaker than in women).
• BMI and IQ: r ≈ −0.10 to −0.20.
• Politics with IQ or income: small, mixed, and tangled with education. Not a stable strong link.

None of those reach “strong” (|r| ≥ 0.5). They still matter in the tail. Stack “tall + high-IQ + high-earning + lean” and a Gaussian copula with those correlations makes the mix several times more common than the independent product — not an order of magnitude, but not a rounding error. Near the middle of each distribution the gap shrinks. The field of 1,000 men is a random sample under independence, not a census.

The interval is a delta-method band on the product. Tap 90% or 95%. Standard errors mix NHANES, Census, and Gallup sampling error with extra room for the distribution fit. It is not a poll of men, and it is deliberately wider than a textbook sampling-only interval. The “move together” line is a Gaussian copula on height, income, IQ, and BMI. Politics is left independent of that copula. When that line sits outside the interval, correlation — not survey noise — is the bigger caveat.