Skip to content
ENExplore Calculators

Height Percentile For Children Calculator

Work out height percentile for children instantly with clear inputs, formula shown and shareable results.

About Height Percentile For Children Calculator

The height is converted to a z-score, (height - reference mean) / reference standard deviation, and the normal distribution turns that z into a percentile. Growth references are published as means and standard deviations by age and sex, so the z-score is the standard way to place a single measurement on the chart.

Formulas

Z-score

z = (height - reference mean) / reference standard deviation

Percentile

percentile = normal cumulative distribution of z, expressed as a percentage

Worked example

With the default values below, Height Percentile For Children Calculator returns Height percentile of 65.5%. Change any input above and every figure here is recalculated in your browser.

Inputs used

Child's heightminimum 30 cm
120 cm
Reference mean height for ageminimum 30 cm
118 cm
Reference standard deviationminimum 0.1 cm
5 cm

Results

Height percentile
65.5%
Z-score against the reference
0.400
Difference from the reference mean
2.0 cm
Interpretation
Within the typical range

Step by step

  1. 1Values used
  2. 2Z-score
  3. 3Percentile
  4. 4Height percentile= 65.5
  5. 5Z-score against the reference= 0.400
  6. 6Difference from the reference mean= 2.0 cm
  7. 7Interpretation= Within the typical range

Assumptions and limits

  • The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 3 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

How is the Height Percentile For Children figure worked out?

z = (height - reference mean) / reference standard deviation. The height is converted to a z-score, (height - reference mean) / reference standard deviation, and the normal distribution turns that z into a percentile.

Why does this matter?

Growth references are published as means and standard deviations by age and sex, so the z-score is the standard way to place a single measurement on the chart.

What do I need to enter?

Enter child's height, reference mean height for age, reference standard deviation. The defaults shown are a realistic worked example — swap in your own figures to get a result you can use.

Related Calculators

Height Percentile For Children Calculator | Calcrivo