1. The distance travelled (in kilometres) by a courier service motorcycle on 40 trips were recorded...

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1. The distance travelled (in kilometres) by a courier service motorcycle on 40 trips were recorded by the driver. 24 18 18. 10 i) ii) iii) iv) 19 13 23 333 i) ii) iii) iv) v) 11 21 23 335 15 12 27 30 19 13 20 2224 10 28 14 17 1328 25 09 1938 17 18 d) From the frequency distribution table: i) Pearson's coefficient of skewness. Bowley's coefficient of skewness. ii) 25 08 2226 32 20 07 2398 22 34 a) Using this equation 2k > n, to prepare the following: An absolute frequency distribution. Show the table A relative frequency distribution. Show the table Estimate the mean, median and modal level of the trips made Estimate the variance. b) Construct the following graphs: 17 06 i) A histogram of the relative frequency distribution. Show the graph ii) The cumulative frequency polygon. Show the graph iii) The (relative) less than ogive. Show the graphs iv) The (relative) more than ogive. On the same graph c) From the graphs in question (b (iii and iv)), read off: - What percentage of trips were between 25 and 30 km long? What percentage of trips were under 25 km? What percentage of trips were 22 km or more? Below which distance were 55% of the trips made? Above which distance were 20% of the trips made? 26 16 15 05 e) From ungrouped data above Plot the stem and leaf. Show the diagram f) From ungrouped data above, draw Box and Wisker & From an examination of the fence find Outliers, extreme values and interpret. Show all calculations 1. The distance travelled (in kilometres) by a courier service motorcycle on 40 trips were recorded by the driver. 24 18 18. 10 i) ii) iii) iv) 19 13 23 333 i) ii) iii) iv) v) 11 21 23 335 15 12 27 30 19 13 20 2224 10 28 14 17 1328 25 09 1938 17 18 d) From the frequency distribution table: i) Pearson's coefficient of skewness. Bowley's coefficient of skewness. ii) 25 08 2226 32 20 07 2398 22 34 a) Using this equation 2k > n, to prepare the following: An absolute frequency distribution. Show the table A relative frequency distribution. Show the table Estimate the mean, median and modal level of the trips made Estimate the variance. b) Construct the following graphs: 17 06 i) A histogram of the relative frequency distribution. Show the graph ii) The cumulative frequency polygon. Show the graph iii) The (relative) less than ogive. Show the graphs iv) The (relative) more than ogive. On the same graph c) From the graphs in question (b (iii and iv)), read off: - What percentage of trips were between 25 and 30 km long? What percentage of trips were under 25 km? What percentage of trips were 22 km or more? Below which distance were 55% of the trips made? Above which distance were 20% of the trips made? 26 16 15 05 e) From ungrouped data above Plot the stem and leaf. Show the diagram f) From ungrouped data above, draw Box and Wisker & From an examination of the fence find Outliers, extreme values and interpret. Show all calculations