"Out of nothing I have created a strange new universe." -- (Janos Bolyai, 1802-1860). This is a reference to the creation of a non-Euclidean geometry.
Janos Bolyai (see quote above): Hungarian-born Bolyai and Russian mathematician Nikolai Lobachevsky (1792-1856) share the credit for the discovery of non-Euclidean geometry. They discovered that there are meaningful systems that violate Euclid's parallel postulate, but which satisfy his other postulates established around 300 B.C. This discovery shocked mathematicians who, over a period of two thousand years, tried to prove that Euclid's other postulates necessitated the truth of the parallel postulate.
What did Herkimer say about the nurse who took an unauthorized day off from work?
Answer: He said she was absent without gauze.
Things Herky would like to know:
Do the illuminated helmets worn by miners make them feel lightheaded?
If a karate expert opened a steak house, would the menu consist only of chops?
Reading: Section 7.2 (pages 389-399, up to Rules for variances)
Exercises: 7.22, 7.23 (page 394...write answers in book), 7.27, 7.28 (page 403...just do the requested computations for mean and standard deviation using your calculator. Make sure you understand the formulas for mean, standard deviation, and variance of a random variable. Formulas are listed at the top of page 404, and they appear on the AP Statistics formula sheet.
You are in Section 7.2.
Make sure you look at the reading for Section 7.2that appears in the Section Summaries. There is a simple exampleillustrating that the random variable formulas for mean, standarddeviation, and variance are consistent with previously-learnedformulas.
LINK TO SECTIONSUMMARIES
LINK TO STATISTICS HOMEPAGE
The Practice of Statistics, by Yates, Moore, McCabe. New York,W.H. Freeman and Company, 1999. (ISBN 0-7167-3370-6)
The Cartoon Guide to Statistics, by Gonick and Smith. NewYork, HarperCollins Publishers, 1993. (ISBN 0-06-273102-5)
How to Lie with Statistics, by Darrell Huff. New York, W.W.Norton & Company, 1982 (ISBN 0-393-09426-X)
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