9. Statistics
- Syllabus
- 0580–2028–2029
- Section
- 9
- Level
- Extended
Exam analysis
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In this section
Topic E9.1
E9.1 Classifying statistical data
Objectives in this topic
E9.1.1 Classify and tabulate statistical data
- Classify and tabulate statistical data. e.g. tally tables, two-way tables.
Topic E9.2
E9.2 Interpreting statistical data
Objectives in this topic
E9.2.1 Read, interpret and draw inferences from tables and statistical
- Read, interpret and draw inferences from tables and statistical diagrams.
E9.2.2 Compare sets of data using tables, graphs and statistical measures.
- Compare sets of data using tables, graphs and statistical measures.
E9.2.3 Appreciate restrictions on drawing conclusions from given data
- Appreciate restrictions on drawing conclusions from given data. e.g. compare averages and measures of spread between two data sets.
Topic E9.3
E9.3 Averages and measures of spread
Objectives in this topic
E9.3.1 Calculate the mean, median, mode, quartiles, range and interquartile
- Calculate the mean, median, mode, quartiles, range and interquartile range for individual data and distinguish between the purposes for which these are used.
E9.3.2 Calculate an estimate of the mean for grouped discrete or grouped
- Calculate an estimate of the mean for grouped discrete or grouped continuous data.
E9.3.3 Identify the modal class from a grouped frequency distribution.
- Identify the modal class from a grouped frequency distribution.
Topic E9.4
E9.4 Statistical charts and diagrams
Objectives in this topic
E9.4.1 Draw and interpret: (a) bar charts (b) pie charts (c) pictograms (d)
- Draw and interpret: (a) bar charts (b) pie charts (c) pictograms (d) stem-and-leaf diagrams (e) simple frequency distributions. Includes composite (stacked) and dual (side-by- side) bar charts. Stem-and-leaf diagrams should have ordered data with a key.
Topic E9.5
E9.5 Scatter diagrams
Objectives in this topic
E9.5.1 Draw and interpret scatter diagrams.
- Draw and interpret scatter diagrams.
E9.5.2 Understand what is meant by positive, negative and zero correlation.
- Understand what is meant by positive, negative and zero correlation.
E9.5.3 Draw by eye, interpret and use a straight line of best fit
- Draw by eye, interpret and use a straight line of best fit. Plotted points should be clearly marked, for example as small crosses (×). A line of best fit: • should be a single ruled line drawn by inspection • should extend across the full data set • does not need to coincide exactly with any of the points but there should be a roughly even distribution of points either side of the line over its entire length.
Topic E9.6
E9.6 Cumulative frequency diagrams
Objectives in this topic
E9.6.1 Draw and interpret cumulative frequency tables and diagrams.
- Draw and interpret cumulative frequency tables and diagrams.
E9.6.2 Estimate and interpret the median, percentiles, quartiles and
- Estimate and interpret the median, percentiles, quartiles and interquartile range from cumulative frequency diagrams. Plotted points on a cumulative frequency diagram should be clearly marked, for example as small crosses (×), and be joined with a smooth curve.
Topic E9.7
E9.7 Histograms
Objectives in this topic
E9.7.1 Draw and interpret histograms.
- Draw and interpret histograms.
E9.7.2 Calculate with frequency density
- Calculate with frequency density. On histograms, the vertical axis is labelled ‘Frequency density’. Frequency density is defined as frequency density = frequency ÷ class width.