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What does it take to win at sports? if you are talking about basketball, one sportwriter gave the answer. He listed the winning scores of the FIBA Africa Championships games over the last 35 years. The scores for those games are as follows: 132 118 124 109 104 101 125 83 99 131 98 125 97 106 112 92 120 103 111 117 135 143 112 112 116 106 117 119 110 105 128 112 126 105 102 a) Construct a stem and leaf plot of the scores (5) b) Calculate the mean, median and mode of the data set. (6) c) Calculate the standard deviation of the scores (5) d) Determine the coefficient of variation (2) e)The FIBA European Championships during the same period had an average winning score of 102 with a standard deviation of 10. Which championship is more consistent and why? (4) f) Group the winnings scores into classes 80 - 89 - 90 - 99 etc. until all the values have been accounted for.(3) g) Construct a histogram of the data and comment on the shape of the distribution (5)
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