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Mildred Barnard

Mildred Barnard 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 Mildred Barnard rather than just read about it. In short: Mildred Macfarlan Barnard (also known as Mildred Macfarlan Prentice, 5 August 1908 – 9 March 2000) was an Australian biometrician, mathematician and statistician. Early life and education Barnard was born in Melbourne on 5 August 1908.

Key takeaways

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

Reference excerpt

Mildred Macfarlan Barnard (also known as Mildred Macfarlan Prentice, 5 August 1908 – 9 March 2000) was an Australian biometrician, mathematician and statistician.

Early life and education Barnard was born in Melbourne on 5 August 1908. Her mother, Jessie Margaret Barnard, helped found the Federal Territory War Food Fund. Her father, Robert James Allman Barnard, became a foundation professor of mathematics at the Royal Military College, Duntroon near Canberra, where the family moved in 1911. They returned to Melbourne in the 1920s, when Barnard's father took a position as senior lecturer at the University of Melbourne. Barnard entered the University of Melbourne in 1927. She won a Dixson Scholarship in 1930, the same year that she completed a B.A. with honours in mathematics. She added a B.S. in physics in 1931 and an M.S. in 1932. Her master's thesis concerned the continuum mechanics of a cracked thin plate, and was supervised by John Henry Michell. In search of a subject that would bring her into more contact with other people, and discouraged by the job prospects for mathematicians and physicists in Australia, Barnard shifted her interests to biometrics. She began her doctoral studies in statistics with Ronald Fisher in the Galton Laboratory at University College London in 1934. She published three papers in this period, on craniometry, factorial experiments, and environmental statistics, and completed her Ph.D. in 1936.

Career and later life After completing her education, Barnard returned to Australia and became an assistant biometrician in the Division of Forest Products of the Council for Scientific and Industrial Research, beginning in 1936. Although centred at Melbourne, her position also involved spending time in Canberra and Sydney. While at CSIR she worked with Betty Allan. Topics that Barnard researched were the 'holding power of coach screws and the serviceability of railway sleepers and telegraph poles'. In the normal course of events, she would have lost the position when she married in 1939, but the outbreak of World War II, and the need for wood in airplanes, caused greater demands on her office, so her resignation was delayed until the birth of her first child in 1941. While raising a family, she lectured part-time at the University of Melbourne until she and her family moved to Brisbane, where her husband found a position as professor of electrical engineering at the University of Queensland. She continued her part-time lecturing there and, in 1970, she was appointed as lecturer in mathematical statistics at the University of Queensland. In 1972 she became the first Chairwoman (1972) of the Brisbane Branch of the International Biometric Society, Australasian Region. She died in Brisbane on 9 March 2000.

Book Barnard's book Elementary Statistics for Use in Timber Research (with Neil Ditchburn, CSIRO, 1956) was published after being printed twice for CSIRO use.

References

Worked examples

Example 1 — a first encounter with Mildred Barnard

Start with the simplest possible case. Write down what Mildred Barnard 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 Mildred Barnard 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 Mildred Barnard 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 Mildred Barnard

In research
Mildred Barnard 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 Mildred Barnard 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
Mildred Barnard is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1908 births, 2000 deaths, 20th-century Australian statisticians, so understanding it makes those chapters shorter.
In everyday life
Look for Mildred Barnard 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 Mildred Barnard in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Mildred Barnard 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 Mildred Barnard out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Mildred Barnard in simple terms?

Mildred Macfarlan Barnard (also known as Mildred Macfarlan Prentice, 5 August 1908 – 9 March 2000) was an Australian biometrician, mathematician and statistician. Early life and education Barnard was born in Melbourne on 5 August 1908.

Why does Mildred Barnard 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 Mildred Barnard?

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 Mildred Barnard.

Tags

  • 1908 births
  • 2000 deaths
  • 20th-century Australian statisticians
  • 20th-century Australian women mathematicians
  • Academic staff of the University of Melbourne
  • Academic staff of the University of Queensland
  • Alumni of University College London
  • Australian women statisticians
  • CSIRO people
  • Mathematicians from Melbourne
  • University of Melbourne alumni

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