Understanding the child's adult height predictor — concept and principle
This calculator estimates a child's adult height from the heights of both parents, a value called the mid-parental or target height. Paediatricians use it to judge whether a child's growth fits the family pattern, and parents use it out of curiosity. It is the simplest prediction method because it needs no X-ray or growth record.
How it is calculated
Using the father's height F and mother's height M in cm (Tanner's method):
- Boys: (F + M + 13) ÷ 2
- Girls: (F + M − 13) ÷ 2
- Target range: prediction ± 8.5 cm
The 13 cm is the average difference between adult men and women in the original reference data. Adding it to the mother's height converts her to a "male equivalent" for a son; subtracting it converts the father to a "female equivalent" for a daughter.
The principle
Adult height is strongly inherited, so the average of the parents, adjusted for sex, is a reasonable centre for the child's expected height. Children do not simply copy that average, though. Many genes, nutrition, illness and the timing of puberty all play a part, and very tall or very short parents tend to have children slightly closer to the population average, a pattern known as regression toward the mean. The ±8.5 cm band reflects this spread: about 95% of children reach an adult height inside it.
Worked example
- Inputs: boy, father 175 cm, mother 162 cm.
- Sum with the sex adjustment: 175 + 162 + 13 = 350.
- Divide by 2: 175 cm predicted adult height.
- Target range: 175 − 8.5 = 166.5 and 175 + 8.5 = 183.5, so 166.5 – 183.5 cm.
- For a girl with the same parents: (175 + 162 − 13) ÷ 2 = 162 cm.
| Father’s height (cm) | Predicted adult height |
|---|---|
| 43.8 | 109.38 |
| 87.5 | 131.25 |
| 131 | 153.13 |
| 175 | 175 |
| 219 | 196.88 |
| 262 | 218.75 |
| 350 | 262.5 |
How to read the result
The prediction is the centre of a wide, roughly 17 cm band. If a child's height on a growth chart tracks a percentile that leads well outside the target range, or crosses percentile lines over time, that pattern is worth discussing with a paediatrician. More precise methods use bone age from a hand X-ray together with the child's current height.
Common mistakes
- Using self-reported parental heights, which are often rounded up; measured values work better.
- Reading the single number as a guarantee rather than the middle of a range.
- Assuming that extra supplements or treatments will move a healthy child far beyond the family target.
Frequently asked questions
How accurate is the mid-parental method?
It gives the right neighbourhood, but individual children can differ from the centre by several centimetres in either direction.
Can my child grow taller than both parents?
Yes. The range extends 8.5 cm above the prediction, and better nutrition across generations also adds height.
When does growth usually stop?
Typically a few years after puberty starts, often around 14–16 in girls and 16–18 in boys, once the growth plates close.
Sources: Tanner JM, Goldstein H, Whitehouse RH. Standards for children's height at ages 2–9 years allowing for height of parents. Arch Dis Child 1970;45:755–762