Healthy Weight Range for Your Height: How It Is Calculated
Charts that list a healthy weight for each height look like medical facts, but they are simply arithmetic. They take the BMI range that is labelled as normal for adults and convert it back into weights for a given height. Once you know the trick you can produce the same range yourself in under a minute.
This article shows the method in metric and imperial units, gives a table for common heights, compares the result with a classic "ideal weight" formula, and explains why the range is a rough guide, not a target for any individual.
From BMI to a weight range
For adults, the World Health Organization labels a BMI from 18.5 up to just below 25 as the healthy (normal) range. BMI is weight divided by height squared, so rearranging gives the weight for any BMI.
weight (kg) = BMI × height (m)²Run it twice: once with 18.5 and once with 24.9 to get the lower and upper ends.
Worked example, 1.70 m: height squared is 1.70 × 1.70 = 2.89. The lower end is 18.5 × 2.89 = 53.5 kg. The upper end is 24.9 × 2.89 = 72.0 kg. The healthy range at this height is about 53.5 to 72 kg.
Using 24.9 keeps the result strictly below the BMI of 25 where the overweight category begins. If you use 25 exactly the upper figure becomes 72.3 kg, which is a trivial difference.
The same calculation in pounds and inches
weight (lb) = BMI × height (in)² ÷ 703Convert feet and inches to inches first.
Worked example, 5 ft 6 in: that is 66 inches, and 66² = 4,356. The lower end is 18.5 × 4,356 ÷ 703 = 114.6 lb. The upper end is 24.9 × 4,356 ÷ 703 = 154.3 lb. So the healthy range at 5 ft 6 in is about 115 to 154 lb.
You can check any height with the healthy weight calculator, and see where your current weight falls with the BMI calculator. The factor 703 is explained in the guide to calculating BMI by hand.
A range for common heights
These ranges use BMI 18.5 to 24.9, rounded to one decimal place in kilograms and to the nearest pound.
| Height | Healthy range (kg) | Healthy range (lb) |
|---|---|---|
| 150 cm | 41.6 to 56.0 | 92 to 124 |
| 160 cm | 47.4 to 63.7 | 104 to 141 |
| 170 cm | 53.5 to 72.0 | 118 to 159 |
| 180 cm | 59.9 to 80.7 | 132 to 178 |
| 190 cm | 66.8 to 89.9 | 147 to 198 |
Notice how wide each band is. At 170 cm it spans about 18.5 kg. The range is wide because people are built differently, and the BMI bands are designed to be broad.
How ideal weight formulas compare
Ideal weight formulas try to give one number instead of a range. One of the best known is the Devine formula from 1974, which was originally published to help with drug dosing, not to describe a healthy body. It starts from a base weight at 5 feet and adds a fixed amount for every inch above that.
- Men: 50 kg + 2.3 kg for each inch over 5 feet.
- Women: 45.5 kg + 2.3 kg for each inch over 5 feet.
Worked example, 5 ft 6 in (6 inches over 5 ft): for men, 50 + 2.3 × 6 = 63.8 kg. For women, 45.5 + 2.3 × 6 = 59.3 kg. The BMI range for the same height is about 52.0 to 70.0 kg, so both figures land inside it.
Formulas disagree with each other, and none claims to know the best weight for a specific person. The ideal weight calculator shows two of them side by side, which makes the differences easy to see. The healthy range is the more honest message: a band of acceptable weights, not a point.
What the range cannot tell you
- Muscle and build. A muscular person can weigh above the upper end with low body fat. See what BMI can and cannot tell you.
- Where weight sits. Abdominal fat carries more risk, which a waist measurement can show. See waist-to-height and waist-to-hip ratios.
- Ancestry. Where lower BMI cut-offs are used, for example 18.5 to 22.9 for some Asian populations, the upper end at 1.70 m drops from 72 kg to about 66 kg (22.9 × 2.89).
- Age. The adult range does not apply to children and teens. See BMI for children and teens.
- How you feel. Energy, sleep, strength, blood pressure and lab results say a lot more about health than reaching a number on a scale.
This article is general education and not medical advice. A doctor or other qualified health professional can tell you what weight is appropriate for you, taking your age, health history and body composition into account.
- Healthy Weight Calculator: Enter your height to see the weight range that corresponds to a body mass index between 18.5 and 25. The guide explains how the range is worked out and where it falls short.
- Ideal Weight Calculator: Enter your height and sex to see an ideal body weight estimate from two published formulas. The guide below explains how each formula works and when to treat the answer with caution.
- BMI Calculator: Enter your height and weight to see your body mass index, the weight category it falls into and how far you sit from the edges of the healthy range. The guide explains the formula, the categories and what BMI can and cannot tell you.
This article is general information, not professional advice. See our Disclaimer and Editorial Policy.
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