Learning objectives

Calculate the mean, median and mode of a data set, and decide which is the most suitable average for data that are skewed or contain an extreme value

Estimate the mean from a grouped frequency table using the midpoint of each class, identify the modal class, and explain why the result is only an estimate

Calculate the range, the interquartile range, the variance and the standard deviation using the statistics functions of a graphic display calculator

Determine the quartiles of a discrete data set, and use the interquartile range as a measure of spread that is resistant to outliers

Describe the effect on the mean, the median and the standard deviation of adding a constant to every value and of multiplying every value by a constant

Compare two data sets using an appropriate measure of centre together with a measure of spread, and write the comparison in the context of the data

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