1. [22 marks] The file Hzitiversxsv contains data about rivers on the South Island of New Iealand. The variables are lal ibi it] [till la] lfl River the name of each river Length the length of the river in km Flowslnto whether the river flows into the Pacific Ocean or the Tasman Sea. Paving careful attention to graphical principles of clarity. simplicity and accura cv. provide graphs that allow the distributions of river lengths to be compared between rivers that ow into the Pacific Gcean and those that flow into the Tasman Sea. Construct your graphical comparison using [i] boxplots, and [5] [ii] histograms. [5] Provide the mean, median and sample standard deviation for each distribution. [3] Using your graphs and statistics from parts {a} and {is}, briefly compare the two distributions of river lengths in terms of location. spread and shape. [3] Do any of the observations appear to be 'outliers' relative to the distribution in which they occur? Justify your answer. [2] On New Zealand's South Island. the mountain range running the length of the island is generally closer to the Tasman ooast than the Pacific coast. How could this be deduced from the data you have analysed? [1] For each ofthe variables Length and Fiowsinto. classify the variable as - [i] numerical or categorical, [ii] discrete or continuous, [iii] nominal orordinal. If any of these distinctions is not relevant to the variable, say "not applicable." [3]