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Index Aggregate index 125 Approximation and rounding 59, 70 Averages 99 Bar chart 10 comparative 13 dual 13 sectional/composite 16 sectional percentage 18 Bivariate data 218 correlation 218 scatter diagrams 219, 225 Box-and-whisker diagrams 145 Boxplots, see box-and-whisker diagrams Census 39 Central tendency, measures of 99 for derived distributions 174 features of 116 for grouped data 106 for ungrouped data 99 Centred moving averages 235 Class interval 58 Class measures 58, 70 Class mid-value 58 Closed questions 41 Combined events 192 dependent events and conditional probability 200 independent events 192 Combining sets of data 118 Comparative bar charts 13 Comparative pie charts 25 Complement of the union 187 Conditional probability, dependent events and 200 Continuous data 69, 73 approximation and rounding 70 class measures 70 cumulative frequency diagrams 92 histograms and frequency polygons 74, 82 Continuous variables 56 Correlation 218 Cost of living index 123 Crude rates 128 Cumulative frequency diagrams 92, 151 quartiles, deciles and percentiles 151 Cumulative frequency distributions 68 Cumulative frequency table, linear interpolation from 159 Data 2 pictorial representation of 8 summary and display of 2 Data collection 39 conducting a survey 40 sample, types of 44 surveys 39 Deciles 151 Dependent events and conditional probability 200 Dependent variable 220 Derived distributions measures of central tendency for 174 measures of dispersion for 177 Deviations 241 Discrete random variable 211 Discrete variables 55 Dispersion, measures of 138 for combined sets of data 170 cumulative frequency diagrams 151 for derived distributions 177 features of 166 interquartile range 140 linear interpolation from cumulative frequency table 159 range 139 standard deviation and variance 164 Dual bar chart 13 277 Index Equally likely outcomes 33 Even-pointed moving averages 235 Events 32 Exhaustive outcomes 34 Expectation 35, 208, 211, 212 fair games and expected winnings 214 probability distributions 211 Expected winnings, fair games and 214 Experiments, events and outcomes 32 Extrapolation 220 Fair game 214 and expected winnings 214 Frequency distributions 5, 58 Frequency polygons 77, 84 Grouped data 54 continuous data 69, 73 continuous variables 56 discrete variables 55 grouped discrete data 58 qualitative variables 55 quantitative variables 55 Grouped discrete data 58 approximation and rounding 59 class measures 58 cumulative frequency distributions 66 frequency distributions 58 stem-and-leaf diagrams (stemplots) 63 Histograms and frequency polygons for equal class intervals 74 for unequal class intervals 82 Independent events 192 Independent variable 220 Index numbers 120 price relatives 121 simple combined 123 weighted aggregate 125 Interpolation 220 Interquartile range 141, 166 box-and-whisker diagrams 145 for grouped data 144 stem-and-leaf diagrams 144 for ungrouped data 141 Intersection of the sets 187 Linear interpolation from cumulative frequency table 159 278 Linear transformation of data 174 derived distributions 174, 177 scaling 180 Line graphs 22 Line of best fit, on scatter diagram 219, 221 Mean 99 calculating an estimate of 106 Mean seasonal variation 241 Median 101 cumulative frequency diagram, estimation from 109 Mode/modal class 101, 107 Moving averages 235 centred 235 Mutually exclusive events 185 Venn diagrams 187 Open questions 41 Outcomes equally likely 33 exhaustive 34 experiments, events and 32 Percentiles 151 Pictograms 9 Pictorial representation of data 8 bar charts 10 comparative bar charts 13 comparative pie charts 25 dual bar chart 13 line graphs 22 pictograms 9 pie charts 24 sectional/composite bar charts 16 sectional percentage bar charts 18 Venn diagrams 28 Pie charts 24 comparative 25 Price relatives 121 Probability 32 equally likely outcomes 33 exhaustive outcomes 34 experiments, events and outcomes 32 random selections 33 trials and expectation 35 Probability and expectation 185 combined events 192 expectation 208 mutually exclusive events 185 Probability distributions 211 Index Qualitative variables 55 Quantitative variables 55 Quartiles 151 Questionnaires 41 Quota samples 47 Random samples, simple 44 Random selections 33 Range 139, 166 Raw data 2 Rounding, approximation and 70 Sample 39, 44 bias in 47 error 40 frame 40 quota 47 simple random 44 stratified random 46 surveys 39 systematic 45 Scaling 180 standard scores 181 Scatter diagram 219, 225 independent and dependent variables 220 interpolation and extrapolation 220 line of best fit on 221 Scatter graph, see scatter diagram Seasonal components Seasonal variation 233 mean 241 Sectional/composite bar charts 16 Sectional percentage bar charts 18 Selections, random 33 Simple combined index numbers 123 Stake 214 Standard deviation 164, 167 Standardised rates 131 Stem-and-leaf diagrams 63, 144 Stratified random samples 46 Surveys 39 census 39 conducting 40 open and closed questions 41 questionnaires 41 sample surveys 40 Systematic samples 45 Tables two-way 2, 193, 201 Time series 229 centred moving averages 235 graph 22 mean seasonal variation 241 seasonal components seasonal variation 233 trend line and moving averages 233 variation and trend 229 Tree diagrams 194, 195, 201 Trend 229 Trend line 233 Trials 35 Two-way tables 193, 201 Ungrouped data 2 Union of the sets 187 Universal set 187 Variable 54 continuous 56 discrete 55 expectation of 211 qualitative 55 quantitative 55 Variance 164 Variation 229 seasonal 233 Venn diagrams 28, 187 Vertical line graph 22 Weighted aggregate index numbers 125 Weighted averages 119 combining sets of data 118 crude rates 128 index numbers 123 standardised rates 128 Winnings 214 279