math 203 sample midterm

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Mathematics & Statistics (Sci)
MATH 203
Patrick Reynolds

MATH 203 PRINCIPLES OF STATISTICS I Midterm examination October 14, 2011 Version A Student Name: Student Number: Instructions: 1. There are 5 pages to this exam, including this title page. 2. Answer all questions directly on the test (use back for rough calculations only). 3. The total number of marks for the exam is 50. Material permitted: 1. One 8.5" ▯ 11" sheet of hand-written personal notes 2. Pocket calculators 3. Language dictionaries Question 1 [6 points] (a) List three classical measures of central tendency. ▯ ▯ ▯ (b) List three classical measures of dispersion. ▯ ▯ ▯ Question 2 [12 points] Fill out the following table using the rules of probability. No details are required. c c Pr(A) Pr(B) Pr(A [ B) Pr(A \ B) Pr(A \ B ) Pr(B \ A ) 0.7 0.6 0.9 0.1 0.3 0.2 0.8 1 0 0.6 0.2 0.1 2 Question 3 [14 points] The following boxplots show the petal length (in centimetres) for 50 specimens from each of three species of iris collected in the Gae peninsula (Fisher, Ann. Eugenics, 1936). The species are Iris setosa, Iris versicolor, and Iris virginica. 7 6 5 4 3 2 1 setosa versicolor virginica (a) Which species has the smallest median?
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