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Using GAISE and NCTM Standards as Frameworks for Teaching
Using GAISE and NCTM Standards as Frameworks for Teaching

... addressed in courses for pre-service middle school teachers in the area of data analysis and probability (CBMS, 2001). They suggest coursework should provide prospective teachers opportunities to design simple investigations and collect data through random sampling or random assignment to treatments ...
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In this part we are going to prove a technical lemma which is used

... • Next, let D2 = {A ∈ D : ∀B ∈ D A ∩ B ∈ D}. Prove that D2 is a d-system, which, by the previous step contains I . • Conclude that D2 = D and show that this ends the proof of Dynkin’s lemma. 2. Applications: Let I be a π-system of subsets of some space Ω and let µ1 and µ2 be two probability measures ...
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... analysis of the raw data ;s appropriate; departures from these requirements must be rattlBr severe before the error rates of statistical testing are upset markedly. If the departures are marked, then some form of nonparametric analysis is appropriate. TABLES uses the ranked data to compute a nonpara ...
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Unit 2, Lecture 1 1 Probability II 2 Random Variables

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... To identify a particular normal curve, you must know the (a) mean and (b)…standard deviation… for that distribution. To convert a particular normal curve to the standard normal curve, you must convert original observations into (c)…z-score. A z-score indicates how many (d)…standard deviations .an ob ...
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Statistics and Probability 8.SP.1

< 1 ... 541 542 543 544 545 546 547 548 549 ... 861 >

History of statistics

The History of statistics can be said to start around 1749 although, over time, there have been changes to the interpretation of the word statistics. In early times, the meaning was restricted to information about states. This was later extended to include all collections of information of all types, and later still it was extended to include the analysis and interpretation of such data. In modern terms, ""statistics"" means both sets of collected information, as in national accounts and temperature records, and analytical work which requires statistical inference.Statistical activities are often associated with models expressed using probabilities, and require probability theory for them to be put on a firm theoretical basis: see History of probability.A number of statistical concepts have had an important impact on a wide range of sciences. These include the design of experiments and approaches to statistical inference such as Bayesian inference, each of which can be considered to have their own sequence in the development of the ideas underlying modern statistics.
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