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a1 - b Calculate the sample mean c Calculate the sample...

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AK/AS/MATH 1131 3.0 Assignment 1 (Due Date: September 24, 2008) Question 1: Consider the following data set: 25 22 26 23 27 26 28 18 25 24 12 a. Calculate the five-number summary for the data. b. Construct a box plot for the data. c. Using the information from part (a), are there any outliers? Question 2: Fifty people are grouped into four categories – A, B, C, and D – and the number of people who fall into each category is shown in the table: Category A B C D Frequency 11 14 20 5 a. What is the experimental unit? b. What is the variable being measured? Is it qualitative or quantitative? c. Construct a pie chart to describe the data. d. Construct a bar chart (bar graph) to describe the data. e. Does the shape of the bart chart in part (d) change depending on the order of presentation of the four categories? Is the order of presentation important? f. What proportion of the people are in category B, C or D? g. What percentage of the people are not in category B? 1
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Question 3: You are given n = 8 measurements: 3 , 1 , 5 , 6 , 4 , 4 , 3 , 5. a. Calculate the range. b.
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Unformatted text preview: b. Calculate the sample mean. c. Calculate the sample variance and standard deviation. d. Compare the range and the standard deviation. The range is approxi-mately how many standard deviations? Question 4: The length of time (in months) between the onset of a par-ticular illness and its recurrence was recorded for n = 50 patients: 2.1 4.4 2.7 32.3 9.9 9.0 2.0 6.6 3.9 1.6 14.7 9.6 16.7 7.4 8.2 19.2 6.9 4.3 3.3 1.2 4.1 18.4 0.2 6.1 13.5 7.4 0.2 8.3 0.3 1.3 14.1 1.0 2.4 2.4 18.0 8.7 24.0 1.4 8.2 5.8 1.6 3.5 11.4 18.0 26.7 3.7 12.6 23.1 5.6 0.4 a. Construct a split stemplot (a stem-and-leaf plot which divides each stem into two parts) using the “tens digit” as the stem and the “ones digit” as the leaf. b. Would you describe the shape as roughly symmetric, skewed right (skewed with a long right tail), or skewed left (skewed with a long left tail)? c. Give the fraction of recurrence times less than or equal to 10 months. 2...
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