What you’ll learn5 learning objectivesChoose one objective for a focused lesson, or study the complete topic.5.1.1Data representation• select a suitable way of presenting raw statistical data, and discuss advantages and/ or disadvantages that particular representations may haveSyllabus objective5.1.2Charts and diagrams• draw and interpret stem-and-leaf diagrams, box-and-whisker plots, histograms and cumulative frequency graphs Including back-to-back stem-and-leaf diagrams.Syllabus objective5.1.3Averages and spread• understand and use different measures of central tendency (mean, median, mode) and variation (range, interquartile range, standard deviation) e.g. in comparing and contrasting sets of data.Syllabus objective5.1.4A cumulative frequency graph e• use a cumulative frequency graph e.g. to estimate medians, quartiles, percentiles, the proportion of a distribution above (or below) a given value, or between two values.Syllabus objective5.1.5And use the mean and standard• 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 x/ and x2/, or coded totals xa-^h/ and xa 2-^h/, and use such totals in solving problems which may involve up to two data sets.Syllabus objective