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9. Statistics

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7 topics · 15 learning objectives

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  1. E9.1 Classifying statistical data

    1. • Classify and tabulate statistical data. e.g. tally tables, two-way tables.

  2. E9.2 Interpreting statistical data

    1. • Read, interpret and draw inferences from tables and statistical diagrams.

    2. • Compare sets of data using tables, graphs and statistical measures.

    3. • Appreciate restrictions on drawing conclusions from given data. e.g. compare averages and measures of spread between two data sets.

  3. E9.3 Averages and measures of spread

    1. • Calculate the mean, median, mode, quartiles, range and interquartile range for individual data and distinguish between the purposes for which these are used.

    2. • Calculate an estimate of the mean for grouped discrete or grouped continuous data.

    3. • Identify the modal class from a grouped frequency distribution.

  4. E9.4 Statistical charts and diagrams

    1. • 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.

  5. E9.5 Scatter diagrams

    1. • Draw and interpret scatter diagrams.

    2. • Understand what is meant by positive, negative and zero correlation.

    3. • 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.

  6. E9.6 Cumulative frequency diagrams

    1. • Draw and interpret cumulative frequency tables and diagrams.

    2. • 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.

  7. E9.7 Histograms

    1. E9.7.1Draw and interpret histograms.

      • Draw and interpret histograms.

    2. E9.7.2Calculate 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.