Ideal Weight Calculator
Ideal Weight Formulas (Height in Inches)
Male: 50.0 + 2.3 × (height_in − 60) kgFemale: 45.5 + 2.3 × (height_in − 60) kgMale: 52.0 + 1.9 × (height_in − 60) kgFemale: 49.0 + 1.7 × (height_in − 60) kgMale: 56.2 + 1.41 × (height_in − 60) kgFemale: 53.1 + 1.36 × (height_in − 60) kgMale: 48.0 + 2.7 × (height_in − 60) kgFemale: 45.5 + 2.2 × (height_in − 60) kgWhat Is Ideal Body Weight?
Ideal Body Weight (IBW) is an estimated weight range that is considered healthiest for a person of a given height and sex. Unlike a single magic number, IBW is best understood as a guideline zone derived from clinical research and population health data. Medical professionals use IBW calculations to determine drug dosages, ventilator settings, nutritional requirements, and to set realistic weight management goals.
The concept of an "ideal" weight has evolved over time. Early actuarial tables from life insurance companies in the 1940s and 1950s first associated specific weight ranges with the lowest mortality rates. Since then, multiple researchers have developed mathematical formulas to estimate IBW more precisely. Each formula was derived from different datasets and methodologies, which is why they produce slightly different results.
No single formula is universally accepted as the "best" one. The Devine formula is the most widely used in clinical practice — particularly in pharmaceutical dosing — while the Robinson and Miller formulas tend to produce estimates that are closer to modern population averages. The Hamwi formula, despite being the oldest, remains popular in dietetics education.
It is important to remember that IBW formulas do not account for body composition, frame size, muscle mass, or ethnicity. A muscular athlete and a sedentary individual of the same height and sex may have very different healthy weights. Use these results as a reference point rather than an absolute target, and consult a healthcare professional for personalised guidance.
Ideal Weight Formulas Explained
Devine Formula (1974): Originally developed by Dr. B.J. Devine for use in calculating medication dosages, this formula became the most widely used IBW equation in clinical medicine. It estimates that a male of 5'0" should weigh 50 kg and adds 2.3 kg for every inch above that height. For females, the baseline is 45.5 kg with the same 2.3 kg per additional inch. Despite its simplicity, the Devine formula has been validated across numerous clinical studies.
Robinson Formula (1983): Dr. J.D. Robinson updated the IBW estimation approach to better reflect contemporary body composition data. The male baseline is 52 kg at 5'0" with 1.9 kg per additional inch, while the female baseline is 49 kg with 1.7 kg per inch. This formula generally produces slightly lower estimates for tall men and slightly higher estimates for women compared to Devine.
Miller Formula (1983): Dr. D.R. Miller's formula uses higher baselines (56.2 kg for males, 53.1 kg for females at 5'0") but smaller increments per inch (1.41 kg and 1.36 kg respectively). This results in a narrower range of ideal weights across different heights and tends to give the highest estimates for shorter individuals and the lowest for very tall individuals.
Hamwi Formula (1964): Developed by Dr. G.J. Hamwi for quick clinical assessment, this is the oldest of the four formulas. It uses a male baseline of 48 kg and a female baseline of 45.5 kg at 5'0", with relatively large increments of 2.7 kg (male) and 2.2 kg (female) per inch. The Hamwi formula tends to produce the widest spread between short and tall individuals and is still frequently taught in nutrition and dietetics programs.
Ideal Weight Chart
The table below shows ideal weight estimates (averaged across all four formulas) for common heights. These values are provided for quick reference and should be used as general guidelines rather than strict targets.
Male Ideal Weight by Height
| Height | Ideal Weight (kg) | Ideal Weight (lbs) |
|---|---|---|
| 5′0″ (152 cm) | 51.5 | 113.6 |
| 5′2″ (157 cm) | 55.7 | 122.8 |
| 5′4″ (163 cm) | 59.9 | 132.0 |
| 5′6″ (168 cm) | 64.0 | 141.1 |
| 5′8″ (173 cm) | 68.2 | 150.3 |
| 5′10″ (178 cm) | 72.3 | 159.4 |
| 6′0″ (183 cm) | 76.5 | 168.6 |
| 6′2″ (188 cm) | 80.6 | 177.8 |
| 6′4″ (193 cm) | 84.8 | 186.9 |
Female Ideal Weight by Height
| Height | Ideal Weight (kg) | Ideal Weight (lbs) |
|---|---|---|
| 4′10″ (147 cm) | 44.5 | 98.1 |
| 5′0″ (152 cm) | 48.3 | 106.4 |
| 5′2″ (157 cm) | 52.1 | 114.8 |
| 5′4″ (163 cm) | 55.8 | 123.1 |
| 5′6″ (168 cm) | 59.6 | 131.4 |
| 5′8″ (173 cm) | 63.4 | 139.8 |
| 5′10″ (178 cm) | 67.2 | 148.1 |
| 6′0″ (183 cm) | 71.0 | 156.4 |
These averages are computed from the Devine, Robinson, Miller, and Hamwi formulas. Individual ideal weights may differ based on body frame size, muscle mass, and overall body composition. The healthy BMI weight range (18.5–24.9) can serve as an additional reference point for evaluating whether your weight falls within a generally healthy zone.
Frequently Asked Questions
Which ideal weight formula is the most accurate?
No single formula is definitively the most accurate for everyone. The Devine formula is the most widely used in clinical settings, particularly for drug dosing. The Robinson and Miller formulas tend to align more closely with modern population data. For the best estimate, consider the average of all four formulas — which is what this calculator highlights — as it smooths out the biases inherent in any single equation.
Why do different formulas give different results?
Each formula was developed by a different researcher using different datasets, populations, and methodologies. The Hamwi formula (1964) was based on earlier population data, while the Robinson and Miller formulas (1983) used more contemporary measurements. These differences in source data, combined with different mathematical approaches to modelling the height-weight relationship, naturally produce varying results.
Does frame size affect my ideal weight?
Yes, body frame size plays a meaningful role. A person with a larger bone structure and wider shoulders will naturally weigh more than a person of the same height with a smaller frame. Some clinical guidelines suggest adding or subtracting 10% from IBW estimates based on whether you have a large or small frame. You can estimate frame size by measuring your wrist circumference relative to your height.
Should I aim for my ideal weight?
Ideal body weight formulas provide useful reference points, but they should not be treated as absolute goals. Factors such as muscle mass, body fat distribution, fitness level, and metabolic health are equally important — if not more so — than a number on the scale. A person at a healthy body fat percentage with good cardiovascular fitness may weigh more than their calculated IBW and still be in excellent health.
Are these formulas valid for all ages?
These formulas were developed primarily for adult populations. They do not account for the natural changes in body composition that occur with ageing, such as decreased muscle mass and increased body fat. For children, adolescents, and elderly individuals, age-specific growth charts or adjusted BMI ranges are more appropriate tools for assessing healthy weight.
How to Use the Ideal Weight Calculator
Using the Ideal Weight Calculator is straightforward and designed for instant results. Simply input your required values into the designated fields above. The calculator will automatically process the inputs in real-time, applying the necessary mathematical formulas to provide an accurate, step-by-step breakdown (where applicable) instantly. If you input invalid data, clear error messages will guide you.
Formula & Methodology
This tool utilizes standard, universally accepted mathematical formulas to ensure 100% accuracy. Our methodology guarantees that edge cases—such as division by zero, negative roots, or complex numbers—are handled gracefully according to strict mathematical principles.
Common Examples
Whether you are a student verifying homework, a professional calculating technical specifications, or simply solving everyday math problems, this calculator eliminates manual errors. It replaces tedious handwritten calculations with instant, verifiable logic.
Frequently Asked Questions
Is the Ideal Weight Calculator free to use?
Yes, this tool is 100% free, requires no registration, and contains zero intrusive ads.
How accurate are the results?
The calculations are performed using high-precision JavaScript mathematical libraries, ensuring accuracy up to 10 decimal places where applicable.