# midterm_2005 - Nov 1 2005 Answer all five questions ECON...

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Nov. 1, 2005 ECON 240A- 1 L. Phillips Midterm 1 Answer all five questions 1. (15 points) The following Box plots describe the midterm scores for Econ 240A for the past three years. The total potential number of points was 75 each year. Note the numbers of students taking the midterm were 45 in 2002, 30 in 2003, and 35 in 2004, so note that the scale differs from box plot to box plot. 2002 Smallest = 34 Q1 = 55 Median = 61 Q3 = 65.5 Largest = 74 IQR = 10.5 Outliers: 34, 2003 Smallest = 49 Q1 = 59.75 Median = 64 Q3 = 67.25 Largest = 73 IQR = 7.5 Outliers: 2004 Smallest = 18.75 Q1 = 34.5 Median = 40.5 Q3 = 52.5 Largest = 70.5 IQR = 18 Outliers:

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Nov. 1, 2005 ECON 240A- 2 L. Phillips Midterm 1 a. On average, which year’s class appears to do the best? Explain the criterion (ia) that you used. b. Which year’s class was most closely bunched, i.e. had the smallest dispersion? c. Which year’s class(es) did not have any outliers? Would it have been possible , given these distributions (i.e. numbers), to have an outlier at the upper end of the distribution in any of the three years? d. How is an outlier calculated in 2002? e. Do you think it would be fair to grade each year’s class on an absolute scale, i.e. based on your score as a percent of 75 points, versus grading on a curve? Justify your answer. What can vary from year to year in addition to average student performance? 2. (15 points) You conduct an experiment by throwing a fair die three times. Each throw is independent. a. What is the probability of observing one or more sixes? b. What is the probability of observing exactly one six? c. What is the probability of observing three sixes?
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