Scenario

BMI-Based Ideal Weight vs Formula-Based Ideal Weight

Compare the BMI method for estimating ideal weight with traditional IBW formulas. Understand the strengths and limitations of each approach, and learn which method is most appropriate for your needs.

Interactive Calculator

Your Details

cm

Formula Comparison Results

Devine (1974)

Primary
70.5kg

Hamwi (1964)

72kg

Robinson (1983)

68.9kg

Miller (1985)

68.7kg

Formula Results Comparison

Result Range

63.7 kg77 kg
Devine
Hamwi
Robinson
Miller

Key Insight

For a male at 175 cm with medium frame, the four formulas give results from 68.7 kg to 72 kg. Devine (1974) is the most commonly referenced in medical literature, while the newer formulas (Robinson, Miller) tend to give more conservative estimates. These are reference ranges, not targets — individual healthy weights vary based on muscle mass, bone density, and body composition.

Scenario guide

Scenario guide

The BMI method: calculating ideal weight from BMI ranges

The BMI method calculates an ideal weight range by working backward from the healthy BMI range (18.5–24.9). Since BMI = weight(kg) / height(m)², you can rearrange to find weight = BMI × height². For a person who is 1.75 m tall: the minimum healthy weight = 18.5 × 1.75² = 56.4 kg (124 lb) and the maximum healthy weight = 24.9 × 1.75² = 75.9 kg (167 lb). The midpoint ideal weight (BMI = 21.7) = 66.0 kg (145.5 lb). This method has three key advantages: it is grounded in large-scale epidemiological data linking BMI to mortality risk, it produces a range rather than a single number (acknowledging individual variation), and it is simple to calculate. Its primary limitation is that BMI, like all height-based methods, cannot distinguish between muscle and fat.

The formula method: traditional IBW equations

Traditional IBW formulas (Devine, Hamwi, Robinson, Miller) calculate a single ideal weight number based on height, gender, and empirically derived coefficients. For a 5'9" (1.75 m) man using the Devine formula: 50 kg + (9 inches × 2.3 kg) = 70.7 kg (155.9 lb). For a 5'5" (1.65 m) woman using Devine: 45.5 kg + (5 inches × 2.3 kg) = 57.0 kg (125.7 lb). The formula method was developed for specific clinical purposes — drug dosing (Devine), nutritional assessment (Hamwi), or anthropometric research (Robinson, Miller). Its advantages include gender-specific estimates that better reflect biological differences, and a single actionable number. Its limitations include: no range (ignoring individual variation), development based on 1960s–1970s population data that may not reflect modern body compositions, and no validation against health outcomes at the individual level.

Side-by-side comparison for the same person

Consider a 5'10" (1.78 m) woman who currently weighs 68 kg (150 lb): BMI method: BMI = 21.6 (within healthy range 18.5–24.9). Ideal weight range = 58.7–78.8 kg (129–174 lb). Midpoint = 68.8 kg (151.7 lb). Result: current weight is right at the midpoint ideal. Formula method (Devine): IBW = 45.5 + (10 × 2.3) = 68.5 kg (151 lb). Result: current weight is essentially at IBW. For this person, both methods agree closely. Now consider a 5'10" man at 85 kg (187 lb): BMI method: BMI = 26.9 (slightly overweight). Healthy range = 58.9–78.9 kg (130–174 lb). His weight is 6.1 kg above the range maximum. Formula method (Devine): IBW = 50 + (10 × 2.3) = 73 kg (161 lb). His weight is 12 kg above IBW. The formula method is stricter and produces a larger deviation from current weight.

Which method is more appropriate?

The answer depends on your purpose. For general health assessment: the BMI method is preferred because it is validated against population-level health outcomes and provides a range that acknowledges individual variation. Major health organizations (WHO, CDC, NHS) use BMI ranges as their primary weight classification tool. For drug dosing: use the Devine formula exclusively — it is the clinical standard and is embedded in all major pharmacological dosing references. For weight management goals: use the BMI method to establish your healthy range, then select a target weight within that range based on how you feel, your body composition, and your fitness level. For nutrition planning: Hamwi or Devine are commonly used to estimate maintenance calories and macronutrient targets. For athletes and muscular individuals: neither method works well — use body fat percentage and FFMI instead.

Combining both methods for the most accurate picture

  • Step 1: Calculate your BMI-based healthy weight range (18.5–24.9 BMI)
  • Step 2: Calculate your IBW using 2–3 formulas (Devine, Hamwi, Robinson)
  • Step 3: Note where the IBW values fall within your BMI range — they should fall in the lower to middle portion
  • Step 4: Assess your current body fat percentage to determine if your weight is appropriate for your body composition
  • Step 5: Set a target weight range (not a single number) that falls within the BMI range and accounts for your frame size and muscle mass
  • Key principle: A 5–10% difference between methods is normal and reflects their different development purposes. Use both as reference points, not as absolute truth.
FAQ

Frequently Asked Questions

Which is better: BMI method or formula method for ideal weight?
For general health, the BMI method is preferred because it is validated against population health outcomes and provides a range. For drug dosing, use the Devine formula exclusively. For most people, combining both methods gives the most complete picture.
How do I calculate my ideal weight using the BMI method?
Minimum weight = 18.5 × height(m)². Maximum weight = 24.9 × height(m)². Midpoint (BMI 21.7) = 21.7 × height(m)². For a 1.75 m person: range = 56.4–75.9 kg, midpoint = 66.0 kg.
Why do the BMI and formula methods give different results?
The BMI method uses a range based on epidemiological mortality data, while formulas like Devine use height-based coefficients developed for drug dosing. The formula method tends to produce lower IBW values, especially for taller individuals, because it was designed for lean reference populations.
Can both methods be wrong for me?
Yes. Both methods ignore body composition. A muscular person will appear overweight by both methods, while a sedentary person with high body fat may appear at ideal weight. Always assess body composition alongside weight.
Which method do doctors use?
For general health assessments, doctors use BMI. For drug dosing, they use the Devine formula. For nutritional assessment, dietitians often use Hamwi. Each method has a specific clinical purpose.
Keep going