01Representation of Data4 groups · 6 lessonsData and Display Choice1.1Types of Data1.2Choosing a RepresentationStem-and-Leaf Diagrams1.3Stem-and-Leaf DiagramsHistograms1.4HistogramsCumulative Frequency1.5Constructing Cumulative-Frequency Graphs1.6Reading Cumulative-Frequency Graphs
02Measures of central tendency3 groups · 6 lessonsModes and Means2.1Mode and the Modal Class2.2The MeanMean Totals and Coding2.3Combined Means and Changing Data2.4Coded Data and TotalsMedian and Measure Choice2.5The Median2.6Choosing an Average
03Measures of variation3 groups · 6 lessonsRange and Quartiles3.1Why spread matters and the range3.2IQR and box plots3.3Quartiles from cumulative frequencyStandard Deviation3.4Standard deviationTotals and Coding3.5Variance from totals and combined data3.6Coded data: shift and scale
04Probability3 groups · 5 lessonsProbability Foundations4.1Probability language and sample spacesEvent Relationships4.2OR, exclusive events and Venn diagrams4.3AND and independent eventsConditional Events and Trees4.4Conditional probability4.5Dependent events and probability trees
05Permutations and combinations3 groups · 8 lessonsCounting Arrangements5.1Counting choices and factorials5.2Arrangements in a lineRestricted and Partial Arrangements5.3Arrangements with restrictions5.4Digit arrangements5.5Arranging r from nSelections and Counting Probability5.6Permutations or combinations?5.7Combination casework5.8Combinations in probability
06Probability distributions2 groups · 6 lessonsRandom Variables and Distribution Tables6.1Discrete random variables6.2Building a distribution from outcomes6.3Distributions from selections and stopping rules6.4Completing and using a distributionExpectation and Spread6.5Expectation of a random variable6.6Variance and standard deviation
07The binomial and geometric distributions2 groups · 7 lessonsBinomial Models7.1Recognising a binomial model7.2Binomial probabilities7.3Binomial mean and variance7.4Binomial complements and least nWaiting for Successes7.5The geometric distribution7.6Later success on a given trial7.7Geometric mean and mode
08The normal distribution3 groups · 7 lessonsNormal Models and Probability8.1Continuous variables and normal curves8.2The standard normal distribution and Φ8.3Standardising a normal variableNormal Models in Context8.4Using normal probabilities in context8.5Finding μ and σ from probabilitiesNormal Approximation to the Binomial8.6When a normal approximation is suitable8.7Continuity correction and the complete method
