5.1 Representation of data

Select a suitable way of presenting raw statistical data, and discuss the advantages and/or disadvantages that particular representations may have.

Taught in: Choosing the right data display · 3 questions

Draw and interpret stem-and-leaf diagrams, box-and-whisker plots, histograms and cumulative frequency graphs.

Includes back-to-back stem-and-leaf diagrams.

Taught in: Drawing and reading stem-and-leaf diagrams, box plots and histograms · 6 questions

Understand and use different measures of central tendency (mean, median, mode) and of variation (range, interquartile range, standard deviation).

For example, in comparing and contrasting sets of data.

Taught in: Averages and spread: mean, median, mode, range, IQR and standard deviation · 8 questions

Use a cumulative frequency graph.

For example, to estimate medians, quartiles and percentiles, the proportion of a distribution above (or below) a given value, or the proportion between two values.

Taught in: Using cumulative frequency graphs · 5 questions

Calculate and use the mean and standard deviation of a set of data (including grouped data), either from the data itself or from given totals Σx and Σx², or coded totals Σ(x − a) and Σ(x − a)², and use such totals in solving problems that may involve up to two data sets.

Taught in: Mean and standard deviation from tables, totals and coded data · 5 questions