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Child Height Predictor (Adult Height Estimate from Parents' Heights)

Enter the father's and mother's heights (cm) and choose your child's sex. The estimated adult height (target height) and its usual range (target range - predicted height ± 9 cm) are calculated together.

Enter heights in centimeters. The result is a genetic estimate based on the parents' heights, not medical advice. Actual height is also strongly affected by environmental factors such as nutrition, sleep and exercise.
Result
Enter the father's and mother's heights in the fields on the left, choose your child's sex and press "Calculate". The result will appear here.

What you can do on this page

  • Enter the father's and mother's heights (in feet and inches) and your child's sex, and get an estimate of your child's adult height (target height) on the spot
  • The usual range (target range: predicted height ± 3.5 inches) is shown too, so you can think in terms of a range, not a single number
  • The formula is the mid-parental height method used in pediatrics: (father's height + mother's height ± 5 inches) ÷ 2. Switch "Units" to Metric to use centimeters (± 13 cm)
  • A plain-language explanation of the formulas and copy-and-paste formulas for Excel, Google Sheets and Python are all on this page
This is a simple formula that estimates a "genetic target" from the parents' heights. It does not decide how tall your child will be, and it is not medical advice. Height is also strongly affected by environmental factors such as nutrition, sleep and exercise. If you have concerns about your child's growth, talk to your pediatrician.

What is this calculation used for?

Answering "How tall will I be?" with an estimate

"How tall will I be when I grow up?" is a question almost every family hears at some point. With the target height formula, you can use just the parents' heights to give an answer with a basis: "about this many inches, give or take 3.5 inches".
If you add that it is a genetic estimate, not an exact prediction, the question also becomes a chance to talk about averages and ranges (variation).

As background information when a pediatrician assesses growth

When evaluating short stature or other growth concerns, pediatricians and growth specialists use the target height from the parents' heights as reference information on "where genetics would place this child", together with growth charts and other checks.
Real medical decisions combine many pieces of information, such as bone age X-rays and hormone tests, so nothing can be diagnosed from this formula alone. If you are worried, do not judge from this number by yourself; talk to your pediatrician.

Thinking about growth as a range and looking at daily habits

The target height can only estimate the genetic part. Environmental factors such as nutrition, sleep and exercise also have a big effect on actual height.
Knowing that the prediction is only the middle of a range makes it easier not to worry over the number itself and to focus on what the family can do, such as a balanced diet and enough sleep.

A reference for future build in sports where height matters

In sports where size is often discussed, such as volleyball and basketball, coaches sometimes treat the parents' heights as one piece of information about a young athlete's future build. The target height turns that idea into a formula.
However, the range is ± 3.5 inches, and ability in a sport is not decided by height alone. Use it as a reference for the outlook, not as a tool that narrows a child's possibilities.

Formula

Predicted height for a boy (target height)
Standard notation (the usual math form)
\(H\) \(=\) \((\) \(F\) \(+\) \(M\) \(+\) \(5\) \()\) \(\div\) \(2\)
In words (symbols replaced with words)
⑤ \(H\): predicted height of a boy (in) \(=\) \((\) ① \(F\): father's height (in) \(+\) ② \(M\): mother's height (in) \(+\) ③ adjustment for boys, 5 (in) \()\) \(\div\) ④ 2 (two parents)
The formula in words
① Add the \(F\): father's height (in)
② and the \(M\): mother's height (in)
③ then add the adjustment for boys, 5 (in)
④ divide by 2 (two parents)
⑤ and you get the \(H\): predicted height of a boy (in)
Quick example
For a family where the father is 5 ft 9 in (69 in) and the mother is 5 ft 4 in (64 in), the predicted height of a son is
\(H\): predicted height of a boy \(=\) \((\) father's height (69) \(+\) mother's height (64) \(+\) adjustment (5) \()\) \(\div\) 2
\((69 + 64 + 5) \div 2 = 138 \div 2 = 69\)
Key idea
So the estimate is 69 in, which is 5 ft 9 in. The base of this formula is the average of the two parents' heights. Because men and women differ in average height, the prediction for a boy is adjusted by that difference. The "+5 in" comes from the average height difference between adult men and women, about 5 inches (13 cm). Since you add 5 and then divide by 2, the answer is exactly 2.5 inches above the parents' average. This formula only estimates a genetic target. It does not decide how tall your child will be.
Predicted height for a girl (target height)
Standard notation (the usual math form)
\(H\) \(=\) \((\) \(F\) \(+\) \(M\) \(-\) \(5\) \()\) \(\div\) \(2\)
In words (symbols replaced with words)
⑤ \(H\): predicted height of a girl (in) \(=\) \((\) ① \(F\): father's height (in) \(+\) ② \(M\): mother's height (in) \(-\) ③ adjustment for girls, 5 (in) \()\) \(\div\) ④ 2 (two parents)
The formula in words
① Add the \(F\): father's height (in)
② and the \(M\): mother's height (in)
③ then subtract the adjustment for girls, 5 (in)
④ divide by 2 (two parents)
⑤ and you get the \(H\): predicted height of a girl (in)
Quick example
For the same family (father 69 in, mother 64 in), the predicted height of a daughter is
\(H\): predicted height of a girl \(=\) \((\) father's height (69) \(+\) mother's height (64) \(-\) adjustment (5) \()\) \(\div\) 2
\((69 + 64 - 5) \div 2 = 128 \div 2 = 64\)
Key idea
So the estimate is 64 in, which is 5 ft 4 in. The only difference from the formula for boys is whether you add or subtract the 5-inch adjustment. For a girl, you subtract the average height difference between men and women and then divide by 2, so the answer is exactly 2.5 inches below the parents' average. Brothers and sisters also end up with different heights. Even with the same parents, think of adult heights as spread around this answer (the usual range is the next formula).
Usual range (target range - predicted height ± 3.5 in)
Standard notation (the usual math form)
\(L\) \(=\) \(H\) \(-\) \(3.5\)
\(U\) \(=\) \(H\) \(+\) \(3.5\)
In words (symbols replaced with words)
③ \(L\): low end of the range (in) \(=\) ① \(H\): predicted height (in) \(-\) ② margin, 3.5 (in)
④ \(U\): high end of the range (in) \(=\) \(H\): predicted height (in) \(+\) margin, 3.5 (in)
The formula in words
① Put the \(H\): predicted height (in) in the middle
② and subtract the margin, 3.5 (in)
③ to get the \(L\): low end of the range (in) ; add the margin instead
④ to get the \(U\): high end of the range (in)
Quick example
If the predicted height is 69 in, the usual range (target range) is
\(L\): low end of the range \(=\) predicted height (69) \(-\) margin (3.5)
\(U\): high end of the range \(=\) predicted height (69) \(+\) margin (3.5)
\(69 - 3.5 = 65.5\)
\(69 + 3.5 = 72.5\)
Key idea
Even children of the same parents do not reach exactly the predicted height; their adult heights spread around it. As a guide to that spread, pediatricians commonly use a target range of about ± 3.5 inches (about ± 9 cm) around the predicted height. So for the example above, read it as "often ends up somewhere between about 65.5 and 72.5 inches (5 ft 5.5 in to 6 ft 0.5 in)". Height can also fall outside this range, so the right way to use the formula is to treat the whole range as a guide.
A child's likely adult height (target height) can be estimated as the average of the parents' heights plus an adjustment for the difference between the sexes (+5 inches for boys, −5 inches for girls, or ± 13 cm). Actual adult height usually spreads within about ± 3.5 inches of the prediction (the target range) and is also strongly affected by environmental factors such as nutrition, sleep and exercise. More precise methods also exist, such as those that use bone maturity (bone age) and the Khamis-Roche method, which also uses the child's current height and weight.

Symbols and terms

Symbols

\(H\) aitch Predicted height (target height) - an estimate of the child's adult height based on the parents' heights (inches).
\(F\) ef The father's height (inches), from the first letter of "father".
\(M\) em The mother's height (inches), from the first letter of "mother".
\(L\) el The low end of the range (inches) - the predicted height minus 3.5 inches. It is the first letter of "lower".
\(U\) you The high end of the range (inches) - the predicted height plus 3.5 inches. It is the first letter of "upper".
\(\pm\) plus or minus A single symbol for "both the value added and the value subtracted". "Predicted height \(\pm 3.5\) in" means "from 3.5 inches below the predicted height to 3.5 inches above it".

Terms

target height (mid-parental height) A child's genetic height target, estimated from the parents' heights. Pediatricians commonly use (father's height + mother's height ± 5 inches) ÷ 2, or ± 13 cm when working in centimeters. It is also called mid-parental height.
target range The range around the target height where adult height usually falls. About ± 3.5 inches (± 9 cm) of the predicted height is a common guide.
average The sum of some numbers divided by how many numbers there are. The part "(father's height + mother's height) ÷ 2" in this formula is the average height of the two parents.
genetic factors Effects of the traits a child inherits from the parents. This formula can only estimate a target based on genetic factors.
environmental factors Effects of the living environment, such as nutrition, sleep and exercise. Height depends on these as well as on genetic factors, but they are not part of this formula.
bone age How mature the bones are, shown as an age, usually checked with an X-ray of the hand. Predictions that use bone age are used by pediatricians as a more precise method than the simple formula on this page.
Khamis-Roche method A statistical method developed in the United States that predicts adult height from the child's age, current height and weight, and the parents' heights. It needs no X-ray and is fairly precise, but it uses detailed tables of coefficients for each age, and it was built from data on white American children, so it may fit children of other backgrounds less well.
growth chart A graph of how height and weight usually increase with age. Pediatricians use growth charts (such as the CDC and WHO charts) at checkups; they are the basic tool for checking a child's growth against a range.

Good to know before you start

Here is what helps you use the calculation on this page with real understanding, not just by pressing the button.

Averages (Grade 6)
  • Knowing that the average of two numbers is found by adding them and dividing by 2
  • Knowing that an average is a guide to the middle, and that each individual value is not exactly the average
Working with decimals (Grades 4–5)
  • Being able to add and subtract decimals such as 69 + 3.5
  • Being able to give a division that does not come out even as a decimal, such as 137 ÷ 2 = 68.5
Converting feet and inches (Grade 4)
  • Being able to convert a height in feet and inches to inches only, such as 5 ft 9 in = 5 × 12 + 9 = 69 in
Spread and range in data (Grades 6–7)
  • Knowing that results vary even under the same conditions
  • Knowing that a form such as "69 ± 3.5" means the range from a low end to a high end centered on 69

How to calculate it in Excel

Copy the whole table below and paste it into cell A1 in Excel. It works as is.
Table to find the predicted height of a boy
Father's height (in) 69
Mother's height (in) 64
Predicted height of a boy (in) =(B1+B2+5)/2
Table to find the predicted height of a girl
Father's height (in) 69
Mother's height (in) 64
Predicted height of a girl (in) =(B1+B2-5)/2
Table to find the usual range (target range)
Predicted height (in) 69
Low end of the range (in) =B1-3.5
High end of the range (in) =B1+3.5
In the first and second tables, after pasting, B1 and B2 are your inputs and B3 is calculated automatically. In the third table, only B1 (the predicted height) is an input, and B2 (low end) and B3 (high end) are calculated.
In the first table, for example, a father of 69 in and a mother of 64 in give 69 (in) in B3. The second table (girl) gives 64, and the third table gives a low end of 65.5 and a high end of 72.5.
Heights are in inches (5 ft 9 in = 5 × 12 + 9 = 69 in). Just replace the input cells with your own numbers.

How to calculate it in Google Sheets

Copy the whole table below and paste it into cell A1 in Google Sheets. It works as is.
Table to find the predicted height of a boy
Father's height (in) 69
Mother's height (in) 64
Predicted height of a boy (in) =(B1+B2+5)/2
Table to find the predicted height of a girl
Father's height (in) 69
Mother's height (in) 64
Predicted height of a girl (in) =(B1+B2-5)/2
Table to find the usual range (target range)
Predicted height (in) 69
Low end of the range (in) =B1-3.5
High end of the range (in) =B1+3.5
The same formulas as in Excel work as is. Copy the whole table, paste it into cell A1, and replace the input cells (B1 and B2 in the first and second tables, B1 in the third) with your own numbers.

How to calculate it in Python

father_height_in = 69  # father's height (inches), 5 ft 9 in
mother_height_in = 64  # mother's height (inches), 5 ft 4 in

predicted_boy = (father_height_in + mother_height_in + 5) / 2   # predicted height of a boy
predicted_girl = (father_height_in + mother_height_in - 5) / 2  # predicted height of a girl

def ft_in(inches):
    feet, rest = divmod(inches, 12)                              # split into feet and inches
    return f"{int(feet)} ft {rest:g} in"

print(f"Boy: {predicted_boy} in = {ft_in(predicted_boy)} (range: {predicted_boy - 3.5}-{predicted_boy + 3.5} in)")
print(f"Girl: {predicted_girl} in = {ft_in(predicted_girl)} (range: {predicted_girl - 3.5}-{predicted_girl + 3.5} in)")
Runs with the standard library only. Change the father's and mother's heights at the top (in inches) and run it. The usual range (± 3.5 in) is shown too, along with the result in feet and inches.

How to write it in LaTeX and other math languages (copy and paste)

Predicted height for a boy (target height)
H = (F + M + 5) ÷ 2
H = \dfrac{F + M + 5}{2}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  <mrow>
    <mi>H</mi>
    <mo>=</mo>
    <mfrac>
      <mrow><mi>F</mi><mo>+</mo><mi>M</mi><mo>+</mo><mn>5</mn></mrow>
      <mn>2</mn>
    </mfrac>
  </mrow>
</math>
H = (F + M + 5) / 2
(F + M + 5)/2
H := (F + M + 5) / 2;
H = (F + M + 5) / 2;
H = (F + M + 5) / 2
Predicted height for a girl (target height)
H = (F + M − 5) ÷ 2
H = \dfrac{F + M - 5}{2}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  <mrow>
    <mi>H</mi>
    <mo>=</mo>
    <mfrac>
      <mrow><mi>F</mi><mo>+</mo><mi>M</mi><mo>&#x2212;</mo><mn>5</mn></mrow>
      <mn>2</mn>
    </mfrac>
  </mrow>
</math>
H = (F + M - 5) / 2
(F + M - 5)/2
H := (F + M - 5) / 2;
H = (F + M - 5) / 2;
H = (F + M - 5) / 2
Usual range (target range - predicted height ± 3.5 in)
L = H − 3.5,  U = H + 3.5
L = H - 3.5,\quad U = H + 3.5
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  <mrow>
    <mi>L</mi><mo>=</mo><mi>H</mi><mo>&#x2212;</mo><mn>3.5</mn>
    <mo>,</mo>
    <mi>U</mi><mo>=</mo><mi>H</mi><mo>+</mo><mn>3.5</mn>
  </mrow>
</math>
L = H - 3.5, U = H + 3.5
{H - 3.5, H + 3.5}
L := H - 3.5; U := H + 3.5;
L = H - 3.5; U = H + 3.5;
L = H - 3.5, U = H + 3.5

How to have ChatGPT  do the calculation

You are a calculation assistant. Do the following calculation by actually running Python code, and base your answer only on the numbers from the execution result (do not answer by mental math or guessing).

The father is 5 ft 9 in (69 in) tall and the mother is 5 ft 4 in (64 in) tall.
Using the mid-parental height formula used in pediatrics (boy = (father + mother + 5 in) ÷ 2, girl = (father + mother − 5 in) ÷ 2), find:
1. The predicted adult height if the child is a boy
2. The predicted adult height if the child is a girl
3. The usual range for each (predicted height ± 3.5 in, low end and high end)

Show each answer in inches and in feet and inches, along with the formulas you used and the numbers from the execution result. Also add a note that this is a genetic estimate based on the parents' heights, not medical advice.

How to Use
  1. 1
    Enter your numbers
    Type the numbers you want to calculate with into the input fields
  2. 2
    Calculate
    Press the "Calculate" button
  3. 3
    Check the result
    The result appears on the spot. The same page also explains the idea behind the calculation and the formula
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