Members of the school mathematics club sold packages of hot chocolate mix to raise funds for their club activities. The numbers of packages sold by individual members are given at right.
a. Find the median and inter-quartile range for this data set.
b. Find the mean and standard deviation.
c. Draw a box plot for this data set. Use the 1.5 · IQR definition to name any numbers that are outliers.
d. Remove the outliers from the data set and draw another box plot.
e. With the outliers removed, recalculate the median and inter-quartile range and the mean and the standard deviation.
f. Which is more affected by outliers, the mean or the median? The standard deviation or the inter-quartile range explains why you think this is so.

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