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“Teach A Level Maths” Vol. 3: Statistics 1 CONTENTS © Christine Crisp Contents Abbreviations for Specifications: A: AQA E: Edexcel O: OCR M: MEI/OCR Please Note: Every effort has been made to ensure that these materials fulfil the essential requirements of each specification. It has been assumed, however, that teachers will themselves check that these requirements have been met. TITLE Contents SPECIFICATION A, E, O, M 1 Introducing S1 2 Stem and Leaf Diagrams 3 Cumulative Frequency Diagrams A, E, O, M A, E, O, M 4 Box and Whisker Diagrams A, E, O, M 5 The Median of Grouped Data A, E, O, M 6 Histograms A, E, O, M 7 Finding the Mean A, E, O, M 8 The Variance A, E, O 8a The Variance (MEI) M 9 Scaling and Coding A, E, O 9a Scaling and Coding (MEI) M TITLE Contents SPECIFICATION 10 Introduction to Probability A, E, O, M 11 Venn Diagrams A, E, O, M 12 Tree Diagrams A, E, O, M 13 Conditional Probability A, E, O, M 14 Discrete Random Variables A, E, O 14a Discrete Random Variables (MEI) M 15 E 16 Cumulative Distribution Function Linear Functions of a Discrete Random Variable 17 The Discrete Uniform Distribution 18 The Geometric Distribution E E O Contents TITLE SPECIFICATION 19 Arranging and Choosing A, O, M 20 More Permutations O 21 More Combinations O, M 22 The Binomial Distribution A, O, M 23 Binomial Problems A, O, M 24 Using Binomial Tables A, O, M 25 The Binomial Mean and Variance A, O, M 26 Hypothesis Testing M Contents TITLE SPECIFICATION 27 The Normal Distribution A, E 28 Standardising to z A, E 29 Reversing Normal Calculations (AQA) 29a Reversing Normal Calculations (EDEXCEL) A 30 Finding the Normal Mean and Variance (AQA) A 30a Finding the Normal Mean and Variance (EDEXCEL) E 31 A Estimating from Samples E Contents TITLE SPECIFICATION 32 The CLT A 33 Estimating Standard Deviation A 34 Confidence Intervals A 35 Least Squares Regression A, E, O 36 Calculating Residuals A, E, O 37 Another Regression Line A, E, O 38 Correlation A, E, O 39 Linear Scaling of Regression Data 40 Spearman’s Rank Correlation Coefficient A, E, O O Contents Explanation of Clip-art images An important result, example or summary that students might want to note. It would be a good idea for students to check they can use their calculators correctly to get the result shown. An exercise for students to do without help. Contents In many of the presentations I have taken snapshots from the software “Autograph”. If you have access to Autograph, students will be able to enter their own data and draw diagrams to illustrate ideas like skewness. Also, probability models are provided and the effects of, for example, changing parameters and altering sample size can quickly be seen. Autograph is particularly helpful in teaching about the Binomial and Normal distributions and Regression. Included with the Autograph software is a set of resources demonstrating how to use the package. Further information on Autograph is available from www.chartwellyorke.co.uk