Health

Ideal weight calculator

Devine, Robinson, Miller and Hamwi formulas plus the healthy BMI range.

01Inputs
02Results
Ideal weight (4-formula avg)
Healthy BMI range
Devine 1974
Robinson 1983
Miller 1983
Hamwi 1964
Healthy BMI range with formula markers

“Ideal” weight from height-only formulas was originally devised for medication dosing, not body composition. Use it as a ballpark; muscle mass, frame size, and body-fat distribution are not captured.

03How it works

Why this calculation

"Ideal body weight" (IBW) is a long-running medical concept, originally devised in the mid-twentieth century not for body-image purposes but for drug dosing. Many medications dose by weight, but for very tall or very short patients the dose-response curve is non-linear with body mass; clinicians normalize to an idealized weight tied to height. Four formulas dominate the literature: Devine (1974), the dosing standard; Robinson (1983) and Miller (1983), two refinements; and Hamwi (1964), the older grandparent still used in dietetics. They all share the same shape — a base weight at 5 ft (152.4 cm) plus a per-inch increment over 5 ft, sex-adjusted. They diverge in the slope and the base, so for the same height they spread by 5–10 kg. The calculator runs all four, reports the average as the headline number, and overlays the WHO healthy-BMI weight range for context.

The formula

Heights converted to inches (h_in). Inches over 5 ft: x = max(0, h_in − 60). Then for each formula, with male/female bases: - Devine: 50 (M) / 45.5 (F) + 2.3 · x - Robinson: 52 (M) / 49 (F) + 1.9 · x - Miller: 56.2 (M) / 53.1 (F) + 1.41 · x - Hamwi: 48 (M) / 45.5 (F) + 2.7 (M) / 2.2 (F) · x

All in kilograms. Average of the four = the headline. Healthy BMI weight range: BMI 18.5–25 × height² (m²). The calc converts the final result to kg or lb based on the user's preference.

How to use

Pick sex (the formulas are sex-stratified — drug dosing convention; not a body-image judgment). Enter height in cm, m, or ft+in (the unit selector keeps values synchronized when you switch). Pick the output unit for the result. The headline KPI is the four-formula average; below it, the WHO healthy-BMI range; on the right, the four individual formula outputs side by side.

Worked example

Man, 175 cm = 68.9 in, x = 8.9 in over 5 ft. - Devine: 50 + 2.3 × 8.9 = 70.5 kg - Robinson: 52 + 1.9 × 8.9 = 68.9 kg - Miller: 56.2 + 1.41 × 8.9 = 68.8 kg - Hamwi: 48 + 2.7 × 8.9 = 72.0 kg - Average: 70.0 kg. - Healthy BMI range at 1.75 m: 18.5 × 3.0625 = 56.7 kg → 25 × 3.0625 = 76.6 kg → 56.7 – 76.6 kg.

The four-formula average sits comfortably inside the healthy BMI band, which is the usual sanity check.

Pitfalls

Height-only formulas miss frame size. A 175-cm man with broad shoulders and dense bones has a higher healthy weight than a 175-cm man with a small frame, and the IBW formulas can't tell. Combine with body-fat percentage (Navy circumference method or DEXA) for a real composition picture.

Muscle mass. Athletes with high muscle mass routinely sit above the four-formula average — and above the healthy BMI cap. They are not unhealthy; the formula is just bad at distinguishing muscle from fat. Pair this calc with a body-fat measurement.

Sex assigned at birth, not gender identity. The slope and base values were derived from sex-disaggregated population data. The calculator uses "male" / "female" as proxies for the biology underlying the formula, not as identity labels. Use the option that matches the body composition pattern you most identify with.

Pediatric, pregnant, post-bariatric. The IBW formulas were derived for non-pregnant, non-pediatric adults. Pediatric dosing uses growth charts; pregnancy uses pre-pregnancy IBW with a trimester-specific gain target; post-bariatric patients have rapidly-changing lean mass that breaks the assumption.

Disagreement among formulas. Hamwi tends to run high, Miller low, Devine and Robinson in the middle. The 5-kg spread is real biological variability, not a calculator error. Use the average as a single number, the spread as a confidence interval.

"Ideal" is a clinical term, not a target. The original purpose was drug dosing, not body-image. Some patients use IBW as a goal weight — that's fine if your physician concurs, but the formulas were not designed for cosmetic targeting and don't pretend to capture the full picture of metabolic health.

Variations

  • BMI: a simpler height/weight ratio. See the dedicated BMI calc for category bands and a healthy-range visual.
  • Body fat percentage: composition-aware. The Navy circumference method is in our body-fat calc.
  • Lean body mass: muscle + bone + organs minus fat. Distinct from IBW and from total body weight.
  • Adjusted body weight (AjBW): for very obese patients, dosing uses IBW + 0.4 × (actual − IBW). Not exposed here; see clinical pharmacy references.
  • Pediatric / growth chart: WHO and CDC charts plot height/weight against age percentiles. Out of scope.
  • Body Surface Area (BSA): another normalization used in oncology and pediatric dosing. Du Bois, Mosteller and Haycock formulas combine height and weight to estimate skin surface in m² — a different normalization geometry from IBW. Out of scope here; chemotherapy dosing uses BSA, basal metabolic rate uses height/weight directly.
  • Frame size estimate (elbow breadth or wrist circumference): small / medium / large frame can shift the IBW target by ±10 %. The Hamwi original publication included a frame-size adjustment that the modern simplified versions drop. If you have a tape measure handy, the wrist-circumference rule of thumb (small frame: wrist < 14 cm for women / < 16 cm for men) gets you 80 % of the way there.

Related calculators