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Contents
MODULE 2
1 Scatter graphs
1.1 Scatter graphs and relationships 1.2 Lines of best fit and correlation 1.3 Using lines of best fit Chapter summary Chapter review questions
1
1 5 6 10 10
4 Processing, representing and interpreting data
4.1 Frequency polygons 4.2 Cumulative frequency 4.3 Box plots 4.4 Comparing distributions 4.5 Frequency density and histograms Chapter summary Chapter review questions
51
51 56 64 65 68 73 73
2 Collecting and recording data 14
2.1 Introduction to statistics 2.2 Data by observation and by experiment 2.3 Grouping data 2.4 Questionnaires 2.5 Sampling 2.6 Databases Chapter summary Chapter review questions 14 14 16 18 20 23 27 28
5 Probability
5.1 5.2 5.3 Writing probabilities as numbers Sample space diagrams Mutually exclusive outcomes and the probability that the outcome of an event will not happen 5.4 Estimating probability from relative frequency 5.5 Independent events 5.6 Probability tree diagrams 5.7 Conditional probability Chapter summary Chapter review questions
77
77 79
81 84 86 88 89 92 93
3 Averages and range
3.1 Mean, mode and median 3.2 Using frequency tables to find averages 3.3 Range and interquartile range 3.4 Stem and leaf diagrams 3.5 Estimating the mean of grouped data 3.6 Moving averages Chapter summary Chapter review questions
31
31 34 36 38 41 44 47 47
MODULE 3
6 Number
6.1 6.2 Properties of whole numbers Multiplication and division of directed numbers M4 6.3 Squares, cubes 6.4 Index laws 6.5 Order of operations 6.6 Using a calculator 6.7 Prime factors, HCF and LCM Chapter summary Chapter review questions
97
97 98 100 101 102 104 106 110 110
Chapter summary Chapter review questions
124 124
8 Expressions and sequences
8.1 8.2 Expressions and collecting like terms Working with numbers and letters and using index notation M4 8.3 Index laws M4 8.4 Sequences Chapter summary Chapter review questions
127
127 129 131 134 138 139
7 Angles (1)
7.1 7.2 7.3
MODULE 2
1 Scatter graphs
1.1 Scatter graphs and relationships 1.2 Lines of best fit and correlation 1.3 Using lines of best fit Chapter summary Chapter review questions
1
1 5 6 10 10
4 Processing, representing and interpreting data
4.1 Frequency polygons 4.2 Cumulative frequency 4.3 Box plots 4.4 Comparing distributions 4.5 Frequency density and histograms Chapter summary Chapter review questions
51
51 56 64 65 68 73 73
2 Collecting and recording data 14
2.1 Introduction to statistics 2.2 Data by observation and by experiment 2.3 Grouping data 2.4 Questionnaires 2.5 Sampling 2.6 Databases Chapter summary Chapter review questions 14 14 16 18 20 23 27 28
5 Probability
5.1 5.2 5.3 Writing probabilities as numbers Sample space diagrams Mutually exclusive outcomes and the probability that the outcome of an event will not happen 5.4 Estimating probability from relative frequency 5.5 Independent events 5.6 Probability tree diagrams 5.7 Conditional probability Chapter summary Chapter review questions
77
77 79
81 84 86 88 89 92 93
3 Averages and range
3.1 Mean, mode and median 3.2 Using frequency tables to find averages 3.3 Range and interquartile range 3.4 Stem and leaf diagrams 3.5 Estimating the mean of grouped data 3.6 Moving averages Chapter summary Chapter review questions
31
31 34 36 38 41 44 47 47
MODULE 3
6 Number
6.1 6.2 Properties of whole numbers Multiplication and division of directed numbers M4 6.3 Squares, cubes 6.4 Index laws 6.5 Order of operations 6.6 Using a calculator 6.7 Prime factors, HCF and LCM Chapter summary Chapter review questions
97
97 98 100 101 102 104 106 110 110
Chapter summary Chapter review questions
124 124
8 Expressions and sequences
8.1 8.2 Expressions and collecting like terms Working with numbers and letters and using index notation M4 8.3 Index laws M4 8.4 Sequences Chapter summary Chapter review questions
127
127 129 131 134 138 139
7 Angles (1)
7.1 7.2 7.3