Write your name in the top-right corner of the page. You are not allowed any resources other than a standard scientific, non-graphing calculator.
In the California Health Interview Survey, randomly selected adults are interviewed and asked how many cigarettes per day they smoke. \(50\) randomly selected responses were given as: \((i)\) \(0\) cigarettes – \(40\) responses; \((ii)\) \(9\) cigarettes – \(1\) response; \((iii)\) \(10\) cigarettes – \(2\) responses; \((iv)\) \(20\) cigarettes – \(3\) response; \((v)\) \(40\) cigarettes – \(3\) response; \((vi)\) \(50\) cigarettes – \(1\) response.
Compute the mean, the median and the mode of the responses above.
Identify which statistics give a better representation of the usual smoking habits of Californian adults. Which statistic is misleading and why?
Cars parked outside of UNR were randomly selected and measurements of their color were collected as follows: \((i)\) red – \(3\) cars; \((ii\)) blue – \(2\) cars; \((iii)\) yellow – \(0\) cars; \((iv)\) green – \(1\) car; \((v)\) silver – \(5\) cars. Draw a Pareto chart of this frequency distribution. For credit you should include labels of each category in the horizontal axis and a scale in the vertical axis with numbers showing the frequency of each category. You should also include an appropriate title for the chart, so that the chart is easy for the reader to interpret.