Exam 3: Numerical Descriptive Measures

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In what way(s) is(are) the concept of geometric mean useful?

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The Yearly Prices (rounded to the nearest dollar) for GLD (a gold exchange traded fund) and SLV (a silver exchange traded fund) are reported in the following table. The Yearly Prices (rounded to the nearest dollar) for GLD (a gold exchange traded fund) and SLV (a silver exchange traded fund) are reported in the following table.   (See the Excel Data File.) A) Calculate the sample variance and sample standard deviation for the GLD ETF and SLV ETF. B) Which asset had a greater variance? C) Which asset had the greater relative dispersion? (See the Excel Data File.) A) Calculate the sample variance and sample standard deviation for the GLD ETF and SLV ETF. B) Which asset had a greater variance? C) Which asset had the greater relative dispersion?

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Approximately 60% of the observations in a data set fall below the 60th percentile.

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The following is a list of average wind speeds at a local surf spot in California over the last week. The following is a list of average wind speeds at a local surf spot in California over the last week.   (See the Excel Data File.) A) What is the range in wind speed? B) What is the Mean Absolute Deviation of the wind speed? (See the Excel Data File.) A) What is the range in wind speed? B) What is the Mean Absolute Deviation of the wind speed?

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A bowler's scores for a sample of six games were A bowler's scores for a sample of six games were   The bowler's modal score is ________. The bowler's modal score is ________.

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A surfer visited his favorite beach 50 times and recorded the wave height each time in the following table. A surfer visited his favorite beach 50 times and recorded the wave height each time in the following table.   (See the Excel Data File.) A) Calculate the average wave height. B) Calculate the variance and standard deviation wave height for this sample. (See the Excel Data File.) A) Calculate the average wave height. B) Calculate the variance and standard deviation wave height for this sample.

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A luxury apartment complex in South Beach Miami is for sale. The owner has received the following offers in millions of dollars. A luxury apartment complex in South Beach Miami is for sale. The owner has received the following offers in millions of dollars.   (See the Excel Data File.) A) What is the mean offer price? What is the median offer price? Is the mean a good measure of central location? B) What is the sample standard deviation of the offers? C) What is equivalent to a 75<sup>th</sup> percentile offer? (See the Excel Data File.) A) What is the mean offer price? What is the median offer price? Is the mean a good measure of central location? B) What is the sample standard deviation of the offers? C) What is equivalent to a 75th percentile offer?

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The following table shows the annual returns (in percent) Chevron and Caterpillar for The following table shows the annual returns (in percent) Chevron and Caterpillar for   .   (See the Excel Data File.) A) Which fund had the higher arithmetic average return? B) Which fund was riskier over this time period? C) Given a risk-free rate of 1%, which fund has the higher Sharpe ratio? What does this imply? . The following table shows the annual returns (in percent) Chevron and Caterpillar for   .   (See the Excel Data File.) A) Which fund had the higher arithmetic average return? B) Which fund was riskier over this time period? C) Given a risk-free rate of 1%, which fund has the higher Sharpe ratio? What does this imply? (See the Excel Data File.) A) Which fund had the higher arithmetic average return? B) Which fund was riskier over this time period? C) Given a risk-free rate of 1%, which fund has the higher Sharpe ratio? What does this imply?

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The following table summarizes selected statistics for two portfolios for a 10-year period. Assume that the risk-free rate is 4% over this period. The following table summarizes selected statistics for two portfolios for a 10-year period. Assume that the risk-free rate is 4% over this period.   As measured by the Sharpe ratio, the fund with the superior risk-adjusted performance during this period is ________. As measured by the Sharpe ratio, the fund with the superior risk-adjusted performance during this period is ________.

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Which of the following relationships can be concluded from examining the correlation coefficient?

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John lives in Los Angeles and hates the traffic. He asked a sample of six of his coworkers who live all over Los Angles how many hours they spend commuting every year. These are their responses in hours per year. John lives in Los Angeles and hates the traffic. He asked a sample of six of his coworkers who live all over Los Angles how many hours they spend commuting every year. These are their responses in hours per year.   (See the Excel Data File.) A) Calculate and interpret the 30<sup>th</sup>, 50<sup>th</sup>, and 70<sup>th</sup> percentiles. B) Are there any outliers? Is the distribution symmetric? If not, comment on its skewness. (See the Excel Data File.) A) Calculate and interpret the 30th, 50th, and 70th percentiles. B) Are there any outliers? Is the distribution symmetric? If not, comment on its skewness.

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Which are characteristic(s) of the coefficient of variation?

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Professors at a local university earn an average salary of $80,000 with a standard deviation of $6,000. Using Chebyshev's inequality, the percentage of salaries falling between $68,000 and $92,000 is at least ________.

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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 median return is the closest to ________. (See the Excel Data File.) The median return is the closest to ________.

(Multiple Choice)
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Automobiles traveling on a road with a posted speed limit of 65 miles per hour are checked for speed by a state police radar system. The following is a frequency distribution of speeds. Automobiles traveling on a road with a posted speed limit of 65 miles per hour are checked for speed by a state police radar system. The following is a frequency distribution of speeds.   (See the Excel Data File.) The mean speed of the automobiles traveling on this road is the closest to ________. (See the Excel Data File.) The mean speed of the automobiles traveling on this road is the closest to ________.

(Multiple Choice)
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The following are daily returns for the Dow Jones Industrial average during the week of October 13. The returns are rounded to the nearest whole number. The following are daily returns for the Dow Jones Industrial average during the week of October 13. The returns are rounded to the nearest whole number.   (See the Excel Data File.) A) Calculate the arithmetic mean return. B) Calculate the geometric mean return. (See the Excel Data File.) A) Calculate the arithmetic mean return. B) Calculate the geometric mean return.

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Geometric mean is greater than the arithmetic mean.

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The terms central location or central tendency refer to the way quantitative data tend to cluster around some middle or central value.

(True/False)
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The following sample data shows the starting salaries of six graduates from the accounting program at California Polytechnic State University. The data are in thousands of dollars. The following sample data shows the starting salaries of six graduates from the accounting program at California Polytechnic State University. The data are in thousands of dollars.   (See the Excel Data File.) A) Calculate and interpret the 25<sup>th</sup>, 50<sup>th</sup>, and 75<sup>th</sup> percentiles. B) Are there any outliers? Is the distribution symmetric? If not, comment on its skewness. (See the Excel Data File.) A) Calculate and interpret the 25th, 50th, and 75th percentiles. B) Are there any outliers? Is the distribution symmetric? If not, comment on its skewness.

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You buy 50 stocks of Company A, 30 of Company B, and 20 of Company C. The annual returns of these companies are 8%, 12%, and 10% respectively. The average return for one year is the closest to ________.

(Multiple Choice)
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