Section |
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**1 Representation of data** |

1.1 Introduction |

1.2 Stem-and-leaf diagrams |

1.3 Histograms and frequency polygons |

1.4 Cumulative frequency graphs |

1.5 Practical activities |

**2 Measures of location** |

2.1 Introduction |

2.2 Median |

2.3 Finding the median from a frequency table |

2.4 The mean |

2.5 Summation notation |

2.6 Calculating the mean from a frequency table |

2.7 Making the calculation of the mean easier |

2.8 The mode and the modal class |

2.9 Comparison of the mean median and mode |

2.10 Practical activities |

**3 Measures of spread** |

3.1 Introduction |

3.2 The range |

3.3 The interquartile range |

3.4 Box plots |

3.5 Outliers |

3.6 Variance and standard deviation |

3.7 Proof of the equivalence of the variance formulae |

3.8 Calculating variance from a frequency table |

3.9 Making the calculation of variance easier |

3.10 Practical activities |

**4 Probability** |

4.1 Assigning probability |

4.2 Probabilities of events |

4.3 Addition of probabilities |

4.4 Conditional probability and the multiplication law |

4.5 Independent events |

4.6 Practical activities |

**5 Permutations and combinations** |

5.1 Permutations |

5.2 Permutations when the objects are not distinct |

5.3 Combinations |

5.4 Applications of permutations and combinations |

**6 Probability distributions** |

6.1 Random variables |

6.2 An important property of a probability distribution |

6.3 Using probability distribution as a model |

**7 The binomial and geometric distribution** |

7.1 The binomial distribution |

7.2 Practical activity |

7.3 The geometric distribution |

7.4 Practical activity |

**8 Expectation and variance of a random variable** |

8.1 Expectation |

8.2 The variance of a random variable |

8.3 The expectation and variance of a binomial distribution |

8.4 The expectation of a geometric distribution |

8.5 Proof that E(X) = 1/p for a geometric distribution |

**9 Correlation** |

9.1 Scatter diagrams |

9.2 Measurement of correlation |

9.3 Making the calculation of r easier |

9.4 Practical activities |

9.5 Interpretation of a correlation coefficient |

9.6 Rank correlation |

9.7 Another method of calculating Spearman's rank correlation coefficient |

9.8 Practical Activities |

9.9 A comparison of the two correlation coefficients |

**10 Regression** |

10.1 Linear relationships |

10.2 The method of least squares |

10.3 Making predictions with a regression line |

10.4 Practical activities |

10.5 Two possible regression lines |

10.6 Practical activity |

10.7 Controlled variables |

10.8 Practical activity |