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QUESTION 1 The 100" Tour de France took place from 29 June 2013 to 21 July 2013. The race was made up of 21 stages of varying distances. The distance, in kilometres, covered in each stage is given in the table below: Stage Distance Stage Distance Stage Distance 1 213 8 195 15 247 2 156 9 168 16 168 3 145 10 197 17 32 4 25 1 1 33 18 172 5 228 12 218 19 204 6 176 13 173 20 125 7 205 14 191 21 133 [Source: www.letour.fr.le-tour/2013/us] 1. 1 Calculate the mean distance. (3) 1.2 Calculate the standard deviation of the distances. (2) 1.3 Determine the number of stages that lie beyond ONE standard deviation of the mean. (2) 1.4 The distance covered in each stage has been rearranged in ascending order and is shown below. Determine the five-number summary of this data. 25 32 33 125 133 145 156 168 168 172 173 176 191 195 197 204 205 213 218 228 247 (4) 1.5 Use the scaled line provided in DIAGRAM SHEET 1 to draw a box and whisker diagram to represent the distance covered in each stage, (2) 1.6 Are there any outliers in the data set? Explain, (2) [15]