Body weight & composition · Calculation notebook

Ideal weight calculator for women: formulas, examples and mathematical principles

Learn the inputs, formula and worked example behind the Ideal weight calculator for women, including empirical equations are fitted estimates, result interpretation, assumptions and sources.

Open calculator By Toolify · Updated

Purpose and steps

Shows the Devine, Robinson, Miller, and Hamwi height-based estimates plus their average. These are rough references, not a personal optimum.

  1. Choose units and use the pre-pregnancy, resting or current measurements requested by the tool; keep observation dates consistent.
  2. Prepare Height. Defaults demonstrate the model rather than your personal circumstances.
  3. Check the headline result and its components. A key interpretation for this tool is: Read the result as a range created by several historical equations.
  4. Compare the baseline with a changed scenario: A personal goal may sit outside this range and still be appropriate.

Input reference and units

These values reproduce the model’s demonstration. Replace them with your own records or measurements; they are not recommended targets.

On a small screen, swipe the table horizontally to see all columns.

Parameters used by this calculator
ParameterDemonstration valueHow to enter it
Height170 cmUse the definition shown in the field label; keep this assumption consistent when comparing scenarios.

Model-specific method

How this calculator produces its result

For women at 5 ft: Devine and Hamwi start at 45.5 kg, Robinson at 49 kg, and Miller at 53.1 kg. Each formula adds a different amount per inch over 5 ft.

Empirical equations are fitted estimates

A fitted formula summarizes a relationship observed in a study population. Coefficients such as calories per kilogram are not universal laws. Use the prescribed units, population and inputs; a model derived from adults may be unsuitable for children or pregnancy.

Averaging several formula outputs summarizes their center but does not remove their shared limitations. Likewise, showing a result to one decimal place does not mean the real-world quantity is known to that precision. Compare estimates with observations and discuss health decisions with qualified care staff.

Linear model: y = a + b₁x₁ + b₂x₂ + …
Arithmetic mean = sum of estimates / number of estimates
Prediction error ≠ display-rounding error
  • a: fitted intercept
  • b: fitted coefficient with its own unit
  • x: measured input in the equation’s required unit
  • Prediction: estimate within the model’s intended population

Worked example

At 5 ft 5 in, the four estimates are about 57.0, 57.5, 59.9, and 56.5 kg; their average is about 57.7 kg.

Reproduce the default scenario

This is a separate example, calculated using the exact engine on the tool page and the defaults in the input reference above. Health examples use metric units. Displayed rounding may differ from intermediate precision.

Average of four formulas
61.4 kg
Devine formula
61.4 kg
Robinson formula
60.8 kg
Miller formula
62.5 kg
Hamwi formula
60.7 kg

Reading results without overstating them

  • Read the result as a range created by several historical equations.
  • A personal goal may sit outside this range and still be appropriate.

Assumptions and exclusions

  • Pregnancy, age, muscle mass, frame size, and medical history are not considered.
  • The word “ideal” is historical terminology and does not mean medically optimal.
Test a changed assumption in the calculator

Sources and content notes

Toolify describes the implemented algorithm and its assumptions. Sources below support the topic or applicable rules; they do not endorse this calculator. Examples are illustrative, and published rules take precedence over simplified estimates.

Report a formula, example or translation issue through our contact page. Include the tool name, inputs and expected result so it can be reproduced. Contact Toolify