Exam 3: Numerical Descriptive Measures

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The sample data below shows the number of hours spent by five students over the weekend to prepare for Monday's Business Statistics exam. The sample data below shows the number of hours spent by five students over the weekend to prepare for Monday's Business Statistics exam.   (See the Excel Data File.) The 75<sup>th</sup> percentile of the data is the closest to ________. (See the Excel Data File.) The 75th percentile of the data is the closest to ________.

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The empirical rule can be used to estimate some proportions ________.

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What is the relationship between the variance and the standard deviation?

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Consider a population with data values of Consider a population with data values of   (See the Excel Data File.) The median is ________. (See the Excel Data File.) The median is ________.

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The following is a list of GPA ranges and frequencies from a high school. Use 1.5 as the midpoint of the 2.0 or less category. The following is a list of GPA ranges and frequencies from a high school. Use 1.5 as the midpoint of the 2.0 or less category.   (See the Excel Data File.) A) What is the mean GPA? B) What is the sample standard deviation of the GPA? C) Assuming the distribution is bell shaped what percentage of the students would have GPAs between 1.5 and 3.9? Does this make sense given what you know about GPAs? (See the Excel Data File.) A) What is the mean GPA? B) What is the sample standard deviation of the GPA? C) Assuming the distribution is bell shaped what percentage of the students would have GPAs between 1.5 and 3.9? Does this make sense given what you know about GPAs?

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As of September 30, the earnings per share (EPS) of five firms in the beverages industry are as follows: As of September 30, the earnings per share (EPS) of five firms in the beverages industry are as follows:   (See the Excel Data File.) The 25<sup>th</sup> percentile and the 75<sup>th</sup> percentile of the EPS are the closest to ________. (See the Excel Data File.) The 25th percentile and the 75th percentile of the EPS are the closest to ________.

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The Sharpe ratio measures ________.

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Amounts spent by a sample of 50 customers at a retail store are summarized in the following relative frequency distribution. Amounts spent by a sample of 50 customers at a retail store are summarized in the following relative frequency distribution.   (See the Excel Data File.) The median amount will fall in the following class interval ________. (See the Excel Data File.) The median amount will fall in the following class interval ________.

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An investor bought common stock of Blackstone Company on several occasions at the following prices. The following frequency distribution represents the number of hours studied per week by a sample of 50 students. An investor bought common stock of Blackstone Company on several occasions at the following prices. The following frequency distribution represents the number of hours studied per week by a sample of 50 students.   (See the Excel Data File.) The average price per share at which the investor bought these shares of common stock was the closest to ________. (See the Excel Data File.) The average price per share at which the investor bought these shares of common stock was the closest to ________.

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Which of the following statements about the mean absolute deviation (MAD) is the most accurate?

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Suppose the average price for new cars has a mean of $30,100 and a standard deviation of $5,600. Based on this information, what interval of prices would we expect at least 95% of new car prices to fall within?

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The annual returns (in percent) for a sample of stocks in the technology industry over the past year are as follows: The annual returns (in percent) for a sample of stocks in the technology industry over the past year are as follows:   (See the Excel Data File.) The sample standard deviation is the closest to ________. (See the Excel Data File.) The sample standard deviation is the closest to ________.

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Three investment options are under consideration for inclusion in a mutual fund. Given that the return on a one-year T-bill is 4.5%, use the Sharpe ratio to select the best option. Three investment options are under consideration for inclusion in a mutual fund. Given that the return on a one-year T-bill is 4.5%, use the Sharpe ratio to select the best option.   (See the Excel Data File.) (See the Excel Data File.)

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A box plot is useful when comparing similar information gathered at different places or times.

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Mark's grade on the recent business statistics test was an 85 on a scale of 0-100. Based on this information we can conclude that Mark's grade was in the 85th percentile in his class.

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Is it possible for a data set to have no mode?

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The mean return on equity (ROE) for a group of firms in an industry is 15% with a variance of 9%. The coefficient of variation of the industry's ROE is ________.

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The following frequency distribution represents the number of hours studied per week by a sample of 50 students. The following frequency distribution represents the number of hours studied per week by a sample of 50 students.   (See the Excel Data File.) The standard deviation of the number of hours studied is ________. (See the Excel Data File.) The standard deviation of the number of hours studied is ________.

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When applicable, the empirical rule provides the approximate percentage of observations that fall within

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Consider a population with data values of Consider a population with data values of   (See the Excel Data File.) The population mean is ________. (See the Excel Data File.) The population mean is ________.

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