We have written the data sets below as pairs of lists: v = {v₁,…, v_n} and a = {a₁,…, a_n}, meaning a₁ observations of value v₁ etc.

Set up a frequency table and bar chart.

Set up a cumulative frequency table and a cumulative bar chart.

Calculate the median and the interquartile range.

Calculate the mean and the sample standard deviation.

Mark these measures on the horizontal axes of your charts.

(a) v = {5.6, 5.8, 5.1, 6.4, 5.2, 6.3, 5.0, 5.8, 6.0} and a = {3, 2, 1, 2, 9, 8, 7, 4, 8}

(b) v = {2, 3, 5, 7, 11} and a = {3, 4, 2, 6, 4}

(c) v = {0.620 362, 0.230 49, 0.375 471, 0.035 230 2, 0.562 372, 0.485 507} and a = {109, 130, 73, 61, 9, 74}

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