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Weight-for-Height Percentile Calculator (WHO, 2-5 Years)

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WHO Weight-for-Height Growth Chart (2-5 Years, 65-120 cm)

Plot a child's weight against WHO reference data using standing height — not age — as the independent variable. The chart displays the standard percentile curves (3rd, 15th, 50th, 85th, 97th) for boys or girls and pins your child's point so you can see whether their weight is proportionate to their height.

LMS Method: Z = ((X/M)^L - 1) / (L × S), percentile = Φ(Z) × 100

How It Works

The WHO 2-5 weight-for-height chart answers a different question from weight-for-age: instead of asking "how does this child's weight compare to peers of the same age," it asks "how does this child's weight compare to peers of the same standing height?" The calculator looks up three parameters from the WHO weight-for-height LMS table — L (skewness), M (the median weight at that height), and S (coefficient of variation) — for the child's exact standing height in centimeters, regardless of age. It then computes a Z-score using the Box-Cox equation Z = ((X/M)^L − 1) / (L × S) and maps that Z-score through the standard normal CDF to a percentile. The WHO table is indexed at one-millimeter (0.1 cm) resolution from 65 cm to 120 cm, which is how the WHO Anthro R package implements the lookup. Weight-for-height is the WHO primary screen for wasting (acute undernutrition) in the 2-5 year age group.

Example Problem

A girl with a standing height of 100 cm weighs 15.4 kg. Where does she fall on the WHO weight-for-height chart for 2-5 years?

  1. Select Girl for sex and confirm the weight and height units (kg and cm in this example).
  2. Enter the standing height: 100.0 cm. Note that age is not used — only the measured height matters.
  3. Enter the weight: 15.4 kg.
  4. Look up the WHO weight-for-height LMS triple for girls at 100 cm: L ≈ -0.3833, M ≈ 15.22 kg, S ≈ 0.0916.
  5. Compute the Z-score with Z = ((X/M)^L − 1) / (L × S). Substituting gives Z ≈ ((15.4/15.22)^-0.3833 − 1) / (-0.3833 × 0.0916) ≈ 0.13.
  6. Map the Z-score through the standard normal CDF: Φ(0.13) ≈ 0.55, so the percentile is approximately the 50th.
  7. Report the result: a girl 100 cm tall weighing 15.4 kg is essentially at the WHO median weight for her height.

Key Concepts

Weight-for-height is a proportionality check, not an age check. A tall 3-year-old who is heavy for his age may be perfectly proportioned for his height; a short 3-year-old who looks average on weight-for-age may in fact be heavy-for-height. The WHO treats weight-for-height below the 3rd percentile (Z ≈ −2) as wasting and above the 97th (Z ≈ +2) as overweight that warrants follow-up. The measurement used here is standing height — not recumbent length — and the chart covers 65 cm to 120 cm (about 25.6 to 47.2 in). Because the lookup is height-based, a child whose age falls outside the 2-5 year window but whose standing height still sits in this range can still be evaluated; however, WHO recommends weight-for-length (recumbent) under age 2 and BMI-for-age once the child passes 60 months.

Applications

  • Wasting screening in preschoolers: a weight-for-height Z-score below −2 (≈3rd percentile) is the primary WHO IMCI criterion for acute malnutrition.
  • Well-child visits: pediatricians check weight-for-height alongside weight-for-age and height-for-age to separate 'heavy for height' from 'heavy for age.'
  • Overweight surveillance: a weight-for-height above the 97th percentile (Z > +2) is an early signal the AAP recommends following up on with nutrition counseling.
  • Humanitarian and community health: weight-for-height is the recommended rapid nutritional screen in refugee camps, food emergencies, and household surveys where precise age is hard to verify.
  • Post-illness recovery: tracks whether a child has regained proportional weight — not just raw kilograms — after a hospitalization or infectious illness.
  • Transition from weight-for-length: for children approaching age 2, clinicians switch from the 0-24 month weight-for-length chart (recumbent) to this 2-5 year weight-for-height chart (standing).

Common Mistakes

  • Confusing weight-for-height with weight-for-length — weight-for-height uses standing height (children 2 and older), weight-for-length uses recumbent length (under 2).
  • Using recumbent length instead of standing height — standing is about 0.7 cm shorter than recumbent, so mixing the two shifts the percentile.
  • Using this chart for children over 5 — switch to BMI-for-age (WHO 5-19) once the child passes 60 months.
  • Entering height in inches without flipping the unit dropdown — verify the unit selector matches the measurement before typing.
  • Treating a single high weight-for-height reading as a diagnosis — a solidly built child may always sit above the 85th without being unhealthy; trajectory across visits matters more than one point.
  • Mixing charts mid-tracking — once you start a child on WHO weight-for-height, stay on it until the transition to BMI-for-age to avoid artificial percentile jumps.

Frequently Asked Questions

What does WHO weight-for-height tell parents and clinicians?

It compares a 2- to 5-year-old's weight to other children of the same standing height, regardless of age. The chart reads percentiles by height alone, so a 95 cm child's weight is compared to all healthy 95 cm children. The 50th is the median weight at that height; values between the 3rd and 97th are considered proportionate, and persistent readings outside that band suggest underweight, overweight, or wasting.

Why does this calculator ignore age?

The WHO weight-for-height table is indexed by standing height only — the LMS parameters are looked up using the measured height in centimeters, not the child's age in months. This is deliberate: weight-for-height is designed to assess body proportionality independently of age, which is exactly what's useful when you want to know whether a child's weight is in balance with their body size. For an age-based read, use the WHO weight-for-age calculator instead.

How is weight-for-height different from weight-for-length?

Weight-for-length uses recumbent length (measured lying down) and is WHO's recommended chart for children under 24 months. Weight-for-height uses standing height and covers 2-5 years. Standing height is typically about 0.7 cm shorter than recumbent length in the same child, and the WHO publishes separate reference data for each — this calculator uses the standing-height (2-5 year) table.

How does weight-for-height differ from weight-for-age?

Weight-for-age compares the child's weight to peers of the same age; weight-for-height compares weight to peers of the same standing height. A tall 3-year-old may be at the 90th percentile on weight-for-age but only the 55th on weight-for-height — perfectly proportioned, just larger than peers. Pediatricians read both together, not in isolation.

When should I use weight-for-height vs. BMI-for-age?

Weight-for-height is WHO's primary proportionality screen for ages 2-5. BMI-for-age starts at age 5 and continues through age 19. Both assess whether weight is in balance with body size, but BMI-for-age is the right chart once the child passes 60 months. For a child mid-age-5, either can be used; pediatricians typically follow the chart they've been tracking and transition at a well-child visit.

What do WHO wasting and overweight thresholds mean on this chart?

WHO defines moderate wasting as a weight-for-height Z-score between −3 and −2 (roughly the 0.1st to 3rd percentile) and severe wasting as Z below −3. Overweight is defined as Z above +2 (approximately the 97th percentile) and obesity as Z above +3. These cutoffs drive the WHO IMCI treatment guidelines and case-finding rules in both clinical and humanitarian settings.

Are WHO and CDC weight-for-height charts the same?

No. The WHO charts are built from a breastfed international reference sample (the WHO Multicentre Growth Reference Study, 2006) and describe how children should grow under optimal conditions. The CDC 2000 weight-for-stature chart is built from US national survey data (1976-1994) and describes how US children actually grew. The WHO is the AAP-recommended chart for ages 0-5; the CDC chart is often used for US children 2 and older. Pick one and stay consistent across visits to avoid artificial percentile jumps.

What height range does this calculator cover?

The WHO 2-5 weight-for-height table covers standing heights from 65 cm to 120 cm (about 25.6 to 47.2 in). Heights outside this range are not part of the WHO weight-for-height reference for 2-5 years. For shorter, younger children use the WHO weight-for-length (0-24 mo) chart; for taller, older children switch to BMI-for-age (WHO 5-19).

Reference: WHO Child Growth Standards: Weight-for-Length/Height. World Health Organization, 2006. https://www.who.int/tools/child-growth-standards

Worked Examples

Healthy proportion check

A boy 95 cm tall weighing 14 kg — where does he fall?

A pediatrician reviews a healthy preschooler whose standing height is 95 cm and weight is 14 kg. The WHO 2-5 weight-for-height chart ignores age entirely — the LMS lookup is purely by height.

  1. Knowns: sex boy, height 95.0 cm, weight 14.0 kg
  2. WHO LMS lookup at 95 cm (boys): L ≈ -0.352, M ≈ 14.15 kg, S ≈ 0.083
  3. Z = ((14.0 / 14.15)^-0.352 − 1) / (-0.352 × 0.083) ≈ 0.12
  4. Φ(0.12) ≈ 0.55

~50th percentile — essentially at the WHO median weight for his height.

A single reading near the median is reassuring; clinicians track whether the child continues along the same channel at subsequent visits.

US-units well-child visit

A girl 37 in tall weighing 32 lb — what percentile?

A parent reports their daughter's standing height as 37 in and weight as 32 lb. The calculator converts both to the canonical units (37 in × 2.54 = 93.98 cm; 32 lb × 0.4536 = 14.51 kg) before the WHO LMS lookup.

  1. Knowns: sex girl, height 37 in → 93.98 cm, weight 32 lb → 14.51 kg
  2. WHO LMS lookup at 94 cm (girls): L, M, S interpolated between adjacent 0.1-cm rows
  3. Z ≈ ((14.51 / M)^L − 1) / (L × S) ≈ 0.90
  4. Φ(0.90) ≈ 0.82

~80th percentile — above the median but comfortably inside the healthy range.

WHO chart values are for standing height (children 2 and older) — a recumbent measurement would read about 0.7 cm longer and shift the percentile slightly.

Wasting screen

A boy 100 cm tall weighing 12.5 kg — is there a wasting concern?

A toddler presents at a follow-up visit measuring 100 cm tall and 12.5 kg. Weight-for-height is the WHO IMCI primary screen for wasting (acute undernutrition); this calculator implements the same Z-score.

  1. Knowns: sex boy, height 100.0 cm, weight 12.5 kg
  2. WHO LMS lookup at 100 cm (boys): L ≈ -0.352, M ≈ 15.30 kg, S ≈ 0.084
  3. Z ≈ ((12.5 / 15.30)^-0.352 − 1) / (-0.352 × 0.084) ≈ -2.24
  4. Φ(-2.24) ≈ 0.013

~1st percentile — below the −2 Z-score threshold the WHO flags as wasting.

A single low reading warrants a clinical assessment — nutrition history, illness, and growth trajectory together determine whether intervention is needed.

How the percentile is calculated

The calculator turns one pair of measurements — standing height and weight — into a percentile in three stages. First, it looks up three WHO parameters — L, M, and S — from the WHO Child Growth Standards weight-for-height (2-5 years) table at the child's exact standing height in centimeters. Age is not used — the independent variable on this chart is height, not time. L is the Box-Cox power transform that accounts for skew in the weight distribution at that height, M is the median weight of same-sex children at that height, and S is the coefficient of variation. Second, it plugs those parameters into the Z-score formula:

Z score equals the quantity X divided by M, raised to the power L, minus 1, divided by L times S.

Where:

  • X — the child's measured weight in kilograms.
  • M — the WHO median weight at that height and sex.
  • L — the Box-Cox skewness parameter at that height.
  • S — the coefficient of variation at that height.

Third, the Z-score is mapped to a percentile through the standard normal cumulative distribution function, Φ(Z). A Z of 0 maps to the 50th percentile, −1.88 to the 3rd, and +1.88 to the 97th. The WHO 2-5 weight-for-height table spans heights from 65 cm to 120 cm in one-millimeter (0.1 cm) steps, so fractional heights resolve to the nearest row without interpolation. A child whose age falls outside the 2-5 year window but whose standing height still lies in this range can still be looked up — the chart is height-indexed, not age-indexed — though WHO recommends weight-for-length (recumbent) under age 2 and BMI-for-age after age 5.

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