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mathematics

Human height

Human height is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Human height rather than just read about it. In short: Human height or stature is the distance from the bottom of the feet to the top of the head in a human body, standing erect. It is measured using a stadiometer, in centimetres when using the metric system or SI system, or feet and inches when using United States customary units or the imperial system.

Human height — main illustration
Human height — illustration

Key takeaways

  • Human height belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Human height to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Human height from memory before moving on to harder problems.

Reference excerpt

Human height or stature is the distance from the bottom of the feet to the top of the head in a human body, standing erect. It is measured using a stadiometer, in centimetres when using the metric system or SI system, or feet and inches when using United States customary units or the imperial system. In the early phase of anthropometric research history, questions about height measuring techniques for measuring nutritional status often concerned genetic differences. Height is also important because it is closely correlated with other health components, such as life expectancy. Studies show that there is a correlation between small stature and a longer life expectancy. Individuals of small stature are also more likely to have lower blood pressure and are less likely to acquire cancer. The University of Hawaii has found that the "longevity gene" FOXO3 that reduces the effects of aging is more commonly found in individuals of small body size. Short stature decreases the risk of venous insufficiency. When populations share genetic backgrounds and environmental factors, average height is frequently characteristic within the group. Exceptional height variation (around 20% deviation from average) within such a population is sometimes due to gigantism or dwarfism, which are medical conditions caused by specific genes or endocrine abnormalities. There are many pathological processes, both inherited and acquired, but the heights of many exceptional (>2 standard deviations from the mean) individuals are considered as natural variants. When no cause can be identified the deviation may be benign or pathological, and is considered idiopathic tall or short stature. When inheritance is concluded as the cause, as a natural variant, of exceptional height the term is familial tall or short stature. A variant related to familial stature, and sometimes used synonymously, and in some cases to distinguish height of a juvenile that is at a particular age significantly above or below average but is ultimately expected to become near average adult height is constitutional tall or short stature. The development of human height can serve as an indicator of two key welfare components, namely nutritional quality and health. In regions of poverty or warfare, environmental factors like chronic malnutrition during childhood or adolescence may result in delayed growth and/or marked reductions in adult stature even without the presence of any of these medical conditions.

Determinants of growth

The study of height is known as auxology. Growth has long been recognized as a measure of the health of individuals, hence part of the reasoning for the use of growth charts. For individuals, as indicators of health problems, growth trends are tracked for significant deviations, and growth is also monitored for significant deficiency from genetic expectations. Genetics is a major factor in determining the height of individuals, though it is far less influential regarding differences among populations. Average height is relevant to the measurement of the health and wellness standard of living and quality of life of populations. Outside the womb, humans grow fastest as infants and toddlers, rapidly declining from a maximum at birth to roughly age 2, tapering to a slowly declining rate, and then, during the pubertal growth spurt (with an average girl starting her puberty and pubertal growth spurt at 10 years and an average boy starting his puberty and pubertal growth spurt at 12 years), a rapid rise to a second maximum (at around 11−12 years for an average female, and 13−14 years for an average male), followed by a steady decline to zero. The average female growth rate decays off to zero at about 15 or 16 years, whereas the average male curve continues for approximately 3 more years, going to zero at about 18−19, although there is limited research to suggest minor height growth after the age of 19 in males. These are also critical periods where stressors such as malnutrition (or even severe child neglect) have the greatest effect. Moreover, the health of a mother throughout her life, especially during her critical period and pregnancy, has a role. A healthier child and adult develops a body that is better able to provide optimal prenatal conditions. The pregnant mother's health is essential for herself but also the fetus as gestation is itself a critical period for an embryo/fetus, though some problems affecting height during this period are resolved by catch-up growth assuming childhood conditions are good. Thus, there is a cumulative generation effect such that nutrition and health over generations influence the height of descendants to varying degrees. The age of the mother also has some influence on her child's height. Studies in modern times have observed a gradual increase in height with maternal age, though these early studies suggest that trend is due to various socio-economic situations that select certain demographics as being more likely to have a first birth early in the mother's life. These same studies show that children born to a young mother are more likely to have below-average educational and behavioral development, again suggesting an ultimate cause of resources and family status rather than a purely biological explanation. In 1988, it was observed that first-born males were shorter than later-born males. However, in 2013, the reverse observation was made. The study authors suggest that the cause may be socioeconomic in nature.

… excerpt ends here. Continue reading the full article.

Illustrations

Human height: Height measurement using a stadiometer
Height measurement using a stadiometer
Human height: The median (50th percentile) growth curves for males and females 0−20 years in the United States
The median (50th percentile) growth curves for males and females 0−20 years in the United States
Human height: Average height of men for selected countries
Average height of men for selected countries
Human height: Average height of women
Average height of women
Human height: Average height of men
Average height of men

Worked examples

Example 1 — a first encounter with Human height

Start with the simplest possible case. Write down what Human height claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Human height before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Human height ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Human height

In research
Human height appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Human height in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Human height is common in secondary-school and first-year university syllabi. It links to neighbouring topics Anthropometry, Auxology, Human height, so understanding it makes those chapters shorter.
In everyday life
Look for Human height outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Human height in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Human height means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Human height out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Human height in simple terms?

Human height or stature is the distance from the bottom of the feet to the top of the head in a human body, standing erect. It is measured using a stadiometer, in centimetres when using the metric system or SI system, or feet and inches when using United States customary units or the imperial syste…

Why does Human height matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Human height?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Human height.

Tags

  • Anthropometry
  • Auxology
  • Human height
  • Mathematics in medicine

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