2004 - Student Name: Student Number: Faculty of Science...

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Student Name: Student Number: Faculty of Science MIDTERM EXAMINATION Mathematics 203 Principles of Statistics I Friday, October 22nd Answer directly on the test (use front and back if necessary). Calculators are allowed. One 8.5” × 11” sheet of notes is allowed. Language dictionaries are allowed. There are 11 pages to this exam and the total number of marks for the exam is 100. There is a bonus question at the end that is worth up to 10 extra points for a correct answer. It does not hurt your score to skip the bonus question. 1
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Question 1: (10 points) (a) Take these six statistical measures and put them in the correct column as to what they measure. (6 points) Mode IQR (Inter-quartile range) Variance Mean Range Median Center Spread (b) Which measure of center is least robust to outliers? (2 points) No explanation necessary. (c) Which measure of spread is most robust to outliers? (2 points) No explanation necessary. 2
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Question 2: (10 points) Assume that Prof. Steele tosses a coin three times. Assume the coin has probability 0.5 of coming up heads and probability 0.5 of coming up tails. Assume each toss is independent of the other. (a) What is the probability that he gets three heads in three tosses? (3 points) (b) What is the probability that he gets a tail on the second toss? (3 points) (c) What is the probability that he gets at least one tail? (4 points) 3
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2004 - Student Name: Student Number: Faculty of Science...

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