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Data management: probability distributions for continuous variables question 65. Here is a list of mr.bushkin’s night school class :
Total: 20 marks Rere s alis o marks for Mr: Bushkins night-school las re is a list of marks 65. 40 76 42 50 15 84 55 89 80 51 71 57 65 87 78 93 61 81 83 98 77 82 41 15 So a) Set up a frequency polygon for the data. (4 marks) 22 86 40 90 53 70 52 66 51 92 Youll notice that the frequency polygon incorporates two of the continuous distributions you learned about in this lesson. What are they? (2 marks) Find the mean and the standard deviation for this distribution. You do not have to show your work for this answer. In other words, you may use spreadsheet software or a statistical program on a calculator to determine these values and just provide the final answer. (2 marks) b) c) d) What mark is one standard deviation above the mean? (1 mark) e) What mark is two standard deviations below the mean? (1 mark) f) How many standard deviations away from the mean is a mark of 84? (2 marks)
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From the given data we create the following frequency distribution table Class midpoint Frequency X Frequency Polygon 0-10 11

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