Exam 3: Numerical Descriptive Measures

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A large city in Southern California collected data on education and the unemployment rate for its residents with a survey. The following is the survey data. A large city in Southern California collected data on education and the unemployment rate for its residents with a survey. The following is the survey data.   (See the Excel Data File.) A) Calculate the mean unemployment rate for the city. B) Calculate the sample standard deviation unemployment rate in the city. (See the Excel Data File.) A) Calculate the mean unemployment rate for the city. B) Calculate the sample standard deviation unemployment rate in the city.

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Professors at a local university earn an average salary of $80,000 with a standard deviation of $6,000. The salary distribution is approximately bell-shaped. What can be said about the percentage of salaries that are less than $68,000 or more than $92,000?

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Z-scores can always be used to detect outliers.

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The following data represents the actual talk time, in hours, for the iPhone for 11 users. The following data represents the actual talk time, in hours, for the iPhone for 11 users.   (See the Excel Data File.) The 60<sup>th</sup> percentile of this data set is ________. (See the Excel Data File.) The 60th percentile of this data set is ________.

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The following represent the sizes of fleece jackets for kids sold at a local Old Navy Store. The following represent the sizes of fleece jackets for kids sold at a local Old Navy Store.   (See the Excel Data File.) Calculate the mean, median, and mode size of fleece jackets for kids. Which of these measures of the central location represents the age that the store would like to target for advertisement dollars. (See the Excel Data File.) Calculate the mean, median, and mode size of fleece jackets for kids. Which of these measures of the central location represents the age that the store would like to target for advertisement dollars.

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The table below gives the deviations of a portfolio's annual total returns from its benchmark's annual returns, for a six-year period ending in Year 6. The table below gives the deviations of a portfolio's annual total returns from its benchmark's annual returns, for a six-year period ending in Year 6.   (See the Excel Data File.) The arithmetic mean return and median return are the closest to ________. (See the Excel Data File.) The arithmetic mean return and median return are the closest to ________.

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The range is defined as ________.

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The median is defined as the ________.

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The average class size this semester in the business school of a particular university is 38.1 students with a standard deviation of 12.9 students. The z-score for a class with 21 students is ________.

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Consider the following data: 1, 2, 4, 5, 10, 12, 18. The 30th percentile is the closest to ________. (See the Excel Data File.)

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What is the interquartile range?

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The director of graduate admissions is analyzing the relationship between scores in the Graduate Record Examination (GRE) and student performance in graduate school, as measured by a student's GPA. The table below shows a sample of 10 students. The director of graduate admissions is analyzing the relationship between scores in the Graduate Record Examination (GRE) and student performance in graduate school, as measured by a student's GPA. The table below shows a sample of 10 students.   (See the Excel Data File.) The covariance is ________. (See the Excel Data File.) The covariance is ________.

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