Edexcel AS and A Level Mathematics Statistics and Mechanics Year 1 AS
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Front Cover......Page 1 Contents......Page 3 Overarching themes......Page 5 Extra online content......Page 7 Chapter 1: Data collection......Page 10 1.1: Populations and samples......Page 11 1.2: Sampling......Page 13 1.3: Non-random sampling......Page 16 1.4: Types of data......Page 18 1.5: The large data set......Page 20 Mixed exercise 1......Page 25 Chapter 2: Measures of location and spread......Page 29 2.1: Measures of central tendency......Page 30 2.2: Other measures of location......Page 34 2.3: Measures of spread......Page 37 2.4: Variance and standard deviation......Page 39 2.5: Coding......Page 42 Mixed exercise 2......Page 45 Chapter 3: Representations of data......Page 49 3.1: Outliers......Page 50 3.2: Box plots......Page 52 3.3: Cumulative frequency......Page 55 3.4: Histograms......Page 57 3.5: Comparing data......Page 62 Mixed exercise 3......Page 63 Chapter 4: Correlation......Page 68 4.1: Correlation......Page 69 4.2: Linear regression......Page 72 Mixed exercise 4......Page 75 Chapter 5: Probability......Page 78 5.1: Calculating probabilities......Page 79 5.2: Venn diagrams......Page 81 5.3: Mutually exclusive and independent events......Page 84 5.4: Tree diagrams......Page 87 Mixed exercise 5......Page 89 Chapter 6: Statistical distributions......Page 92 6.1: Probability distributions......Page 93 6.2: The binomial distribution......Page 97 6.3: Cumulative probabilities......Page 100 Mixed exercise 6......Page 103 Chapter 7: Hypothesis testing......Page 107 7.1: Hypothesis testing......Page 108 7.2: Finding critical values......Page 110 7.3: One-tailed tests......Page 114 7.4: Two-tailed tests......Page 116 Mixed exercise 7......Page 118 Review exercise 1......Page 122 Chapter 8: Modelling in mechanics......Page 127 8.1: Constructing a model......Page 128 8.2: Modelling assumptions......Page 129 8.3: Quantities and units......Page 131 8.4: Working with vectors......Page 134 Mixed exercise 8......Page 137 Chapter 9: Constant acceleration......Page 139 9.1: Displacement–time graphs......Page 140 9.2: Velocity–time graphs......Page 142 9.3: Constant acceleration formulae 1......Page 146 9.4: Constant acceleration formulae 2......Page 151 9.5: Vertical motion under gravity......Page 155 Mixed exercise 9......Page 161 Chapter 10: Forces and motion......Page 165 10.1: Force diagrams......Page 166 10.2: Forces as vectors......Page 169 10.3: Forces and acceleration......Page 171 10.4: Motion in 2 dimensions......Page 175 10.5: Connected particles......Page 178 10.6: Pulleys......Page 182 Mixed exercise 10......Page 186 Chapter 11: Variable acceleration......Page 190 11.1: Functions of time......Page 191 11.2: Using differentiation......Page 194 11.3: Maxima and minima problems......Page 195 11.4: Using integration......Page 197 11.5: Constant acceleration formulae......Page 200 Mixed exercise 11......Page 202 Review exercise 2......Page 206 Exam-style practice: Paper 2......Page 210 Appendix......Page 213 Answers......Page 218 Index......Page 240
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