Exam 3: Numerical Descriptive Measures

Professors at a local university earn an average salary of $80,000 with a standard deviation of $6,000. The salary distribution cannot be regarded as bell-shaped. What can be said about the percentage of salaries that are less than $68,000 or more than or more than $92,000?

How do we find the median if the number of observations in a data set is odd?

The following data are a list of the magnitudes of six of Alaska's largest recorded earthquakes. (See the Excel Data File.) Calculate the mean, median, and mode of the magnitude of Alaska's Earthquakes.

The variance is an average squared deviation from the mean.

The coefficient of variation is best described as ________.

Calculate the interquartile range from the following data: 1, 2, 4, 5, 10, 12, 18. (See the Excel Data File.)

What is(are) characteristic(s) of the geometric mean?

Calculate the mean, median, and mode of the sample data below. (See the Excel Data File.)

The following data represent the number of unique visitors and the revenue a website generated for the months of July through December. (See the Excel Data File.) A) What is the sample standard deviation for the number of unique visitors and the revenue? B) Calculate the coefficient of variations. Which variable has a higher relative dispersion? C) Calculate the sample correlation coefficient between the number of unique visitors and Revenue. D) Comment on the strength of the linear relationship. What does this mean for the owner of the website?

The table below gives statistics relating to a hypothetical 10-year record of two portfolios. Assume other statistics relating to these portfolios are the same and the risk-free rate is 3.5%. Using the coefficient of variation and the Sharpe ratio, the fund that is preferred in terms of relative risk and return per unit of risk is ________.

Amounts spent by a sample of 200 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 ________.

Which of the following is true when using the empirical rule for a set of sample data?

Which of the following capabilities does Analysis of Relative Location provide?

The following is a list of the number of touchdowns LaDainian Tomlinson scored in five nonconsecutive years as a running back in the NFL. (See the Excel Data File.) Calculate the mean and the median of the number of touchdowns LT scored. Does the mean accurately reflect the center of the data?

The standard deviation is the positive square root of the variance.

In an accounting class of 200 students, the mean and standard deviation of scores was 70 and 5, respectively. Use the empirical rule to determine the number of students who scored less than 65 or more than 75.

A bowler's scores for a sample of six games were (See the Excel Data File.) The bowler's average score is ________.

Which five values are graphed on a box plot?

Total revenue for Apple Computers (in millions) was $42,905 in Year 1, $65,225 in Year 2, and $108,249 in Year 3. The average growth rate of revenue during these three years is the closest to ________.

Sales for Adidas grew at a rate of 0.5196 in Year 1, 0.0213 in Year 2, 0.0485 in Year 3, and -0.0387 in Year 4. The average growth rate for Adidas during these four years is the closest to ________.