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Unformatted text preview: SOLUTIONS MAT 167: Statistics Test I: Chapters 14 Instructor: Anthony Tanbakuchi Fall 2008 Name: Computer / Seat Number: No books, notes, or friends. Show your work. You may use the attached equation sheet, R, and a calculator. No other materials. Write your work in the provided space for each problem (including any R work if appropriate). You may not use personal computers, only use the classroom computer at your desk. Using any other program or having any other documents open on the computer will constitute cheating. You have until the end of class to finish the exam, manage your time wisely. If something is unclear quietly come up and ask me. If the question is legitimate I will inform the whole class. Express all final answers to 3 significant digits. Probabilities should be given as a decimal number unless a percent is requested. Circle final answers, ambiguous or multiple answers will not be accepted. Show steps where appropriate. The exam consists of 8 questions for a total of 40 points on 9 pages. This Exam is being given under the guidelines of our institution’s Code of Academic Ethics . You are expected to respect those guidelines. Points Earned: out of 40 total points Exam Score: MAT 167: Statistics, Test I: Chapters 14 SOLUTIONS p. 1 of 9 Solution: Exam Results. Below are the summary statistics. > summary( score ) Min . 1 st Qu. Median Mean 3rd Qu. Max. 30.00 67.50 81.25 75.11 85.62 92.50 > par (mfrow = c (1 , 2)) > boxplot ( score , main = ”Boxplot of exam scores ”) > hist ( score , main = ”Histogram of exam scores ”) ● 30 50 70 90 Boxplot of exam scores Histogram of exam scores score Frequency 30 50 70 90 2 4 6 8 10 1. Provide short succinct written answers to the following conceptual questions. (a) (1 point) Would ethnicity be classified as a nominal, ordinal, interval, or ratio level of measurement? Solution: Ethnicity would be categorical, with no meaningful order, therefore we would classify it as nominal. (b) (1 point) Which of the following measures of center is least susceptible to outliers: median, mean, midrange, mode Solution: The mode is the least susceptible. (c) (1 point) What percent of data is greater than Q 1 ? Solution: 75% (d) (1 point) If the mean, median, and mode for a data set are all the same, what can you conclude about the data’s distribution? Instructor: Anthony Tanbakuchi Points earned: / 4 points MAT 167: Statistics, Test I: Chapters 14 SOLUTIONS p. 2 of 9 Solution: If all three measures of center are the same, the distribution is symmetrical. (Not necessarily a normal distribution, all we know is that it is symmetrical.) (e) (1 point) If the mean is less than the mode for a data set, what can you conclude about the data’s distribution?...
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 Spring '11
 Tanbakuchi
 Statistics, Standard Deviation, Anthony Tanbakuchi

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