Calculate measures of central tendency for discrete and grouped data, encompassing the mode, median, arithmetic mean, weighted mean, geometric mean, and mean seasonal variation.
Understand that within statistical questions, the term 'mean' strictly implies the arithmetic mean unless the 'geometric mean' is explicitly requested.
Calculate the mean and median for grouped data featuring equal or unequal class widths.
Apply the technique of linear interpolation accurately to find the median within grouped data.
Use class midpoints (mid-interval values) to estimate the arithmetic mean of grouped data.
Analyze the resultant effect on the mean, mode, and median following changes to the raw data, such as the addition or systematic withdrawal of population members.
Evaluate the effect of simple linear transformations (restricted to scaling and translation) applied to the data set upon the mean, mode, and median.
