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MATH midterm 2010

MATH midterm 2010 - MATH 203 Principles of Statistics...

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MATH 203 Principles of Statistics Midterm Exam 1 February 17, 2010 Time: 50 minutes Instructions: Answer all questions, show your reasoning-briefly, hand calculators are permitted, crib sheets are NOT, and write your name and student number on your answer book. Question 1 (10 marks): The following data were collected by forensic pathologists on the estimated times-in hours-since death, for 13 homicide cases. 10.2, 11.3, 8.4, 9.6, 1.1, 11.2, 8.5, 7.5, 7.2, 6.7, 1.3, 11.9, 10.4 i) Excluding the sample mode, calculate two different measures of centrality for these data. ii) In a single sentence give a reason why you think one measure is to be preferred over the other in this case. iii) Suppose that for another set of 13 observations-given in minutes since death-it is found that the sample standard deviation is 65.23 and that the sample mean is 420.65. Without doing any further calculations is it reasonable to conclude that the second data set has much more variability than the first? Keep your explanation brief.

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