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Homework answers / question archive / The file NZRivers
of New Zealand. The variables are - River the name of each river Length the length of the river in km FlowsInto whether the river flows into the Pacific Ocean or the Tasman Sea. (a) Paying careful attention to graphical principles of clarity, simplicity and accuracy, provide graphs that allow the distributions of river lengths to be compared between rivers that flow into the Pacific Ocean and those that flow into the Tasman Sea. Construct your graphical comparison using - (i) boxplots, and [5] (ii) histograms. [5] (b) Provide the mean, median and sample standard deviation for each distribution. [3] (c) Using your graphs and statistics from parts (a) and (b), briefly compare the two distributions of river lengths in terms of location, spread and shape. [3] (dny of the observations appear to be 'outliers' relative to the distribution in which they occur? Justify your answer. [2] (e) On New Zealand's South Island, the mountain range running the length of the island is generally closer to the Tasman coast than the Pacific coast. How could this be deduced from the data you have analysed? [1] (f) For each of the variables Length and FlowsInto, classify the variable as - (i) numerical or categorical, (ii) discrete or continuous, (iii) nominal or ordinal. If any of these distinctions is not relevant to the variable, say "not applicable."
