G10 – Mathematics – Study Guide 2/2 11.1 Grouped data................................................................................................64
THEME 12: TRIGONOMETRY: PROBLEMS IN TWO DIMENSIONS..................... 97
Exercise 11.1: Grouped data................................................................................. 67
Introduction................................................................................................................. 97
11.2 Measures of central tendency in grouped data.................................70
Revision exercise........................................................................................................ 97
11.2.1 Estimated mean of grouped data...........................................................70
12.1 Problems involving angles of elevation and depression................99
11.2.2 Estimated median of grouped data.......................................................70
Exercise 12.1: Problems involving angles of elevation and depression......................................................................................................... 102
11.2.3 Modal class of grouped data....................................................................70
12.2 Problems involving bearings (direction)......................................... 104
Exercise 11.2: Measures of central tendency in grouped data............... 73
Exercise 12.2: Problems involving bearings (direction)........................ 106
Self-evaluation............................................................................................................ 74
Self-evaluation......................................................................................................... 110
11.3 Measures of spread.....................................................................................75 11.3.2 Interquartile range (IQR).........................................................................76
Summary of theme................................................................................................. 110
11.3.3 Semi-interquartile range..........................................................................76
THEME 13: EUCLIDEAN GEOMETRY....................................................................113
11.3.4 Percentiles.....................................................................................................76
Introduction.............................................................................................................. 113
11.3.1 Quartiles.........................................................................................................75
End of theme exercise........................................................................................... 110 Exercise 13.1............................................................................................................. 113
11.3.5 Outliers...........................................................................................................77
Self-evaluation......................................................................................................... 118
Exercise 11.3: Measures of spread..................................................................... 83
Summary of theme................................................................................................. 118
11.4 The five-number summary......................................................................84
Exercise 11.4: The five-number summary...................................................... 85
THEME 14: MEASUREMENT.................................................................................119
Exercise 11.5: Analysing statistical summaries and graphs.................... 90
14.1 Revision: Perimeter, area, surface area and volume.................... 123
End of theme exercise.............................................................................................. 92
14.1.3 Nets of 3D shapes.....................................................................................123
Introduction.............................................................................................................. 119
Self-evaluation............................................................................................................ 87
11.5 Analysing statistical summaries and graphs .....................................87
Revision exercise..................................................................................................... 121
14.1.1 Perimeter/circumference and area................................................... 123
Self-evaluation............................................................................................................ 91
14.1.2 Regular polygons......................................................................................123
Summary of theme.................................................................................................... 92
14.1.4 Surface area and volume........................................................................124
ii
Exercise 14.1: Revision: Perimeter, area, surface area and volume.. 124