Exam 3: Descriptive Statistics and Analytics: Numerical Methods

As a measure of variation, the sample ________ is easy to understand and compute. It is based on the two extreme values and therefore may reflect an extreme measurement that is not entirely representative of the data set's variation.

Range is a better measure of variation than standard deviation.

A quantity that measures the variation of a population or a sample relative to its mean is called the ________.

In a statistics class, 10 scores were randomly selected, with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What is the 90th percentile?

Find the z-score for an IQ test score of 92 when the mean is 100 and the standard deviation is 15.

Data summarized in a frequency distribution or histogram form are often called weighted data.

Which of the following is a measure of the strength of the linear relationship between x and y that is dependent on the units in which x and y are measured?

If there are seven classes in a frequency distribution, then the fourth class will always contain the median.

According to Chebyshev's theorem, at least what proportion of the data will be within μ ± kσ for k = 2?

The average life of Canadian women is 73.75 years, and the standard deviation of the life expectancy of Canadian women is 6.5 years. Using Chebyshev's theorem, determine the minimum percentage of women in Canada whose life expectancy is between 64 and 83.5 years.

Which percentile describes the first quartile, Q1?

Suppose that a company's annual sales were $1,200,000 in 1999. The annual growth rate of sales from 1999 to 2000 was 16 percent, from 2000 to 2001 it was −5 percent, and from 2001 to 2002 it was 22 percent. What is the geometric mean growth rate of sales over this three-year period?

In a symmetric population, the median equals the mode.

The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes). 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118 What is the third quartile?

Personnel managers usually want to know where a job applicant ranked in his or her graduating class. With a grade point average of 3.83, Michelle Robinson graduated above the 93rd percentile of her graduating class. What is the percentile rank of a student whose GPA was the median GPA?

The constant return that yields the same wealth at the end of the investment period as do the actual returns is the ________.

Find the z-score for an IQ test score of 125 when the mean is 100 and the standard deviation is 15.

When using Chebyshev's Theorem to obtain the bounds for 99.73 percent of the values in a population, the interval generally will be ________ the interval obtained for the same percentage if a normal distribution is assumed (Empirical Rule).

Suppose that annual sales for a company were $3.6 million at the beginning of a three-year period and at the end had increased to $6.1 million. Find the geometric growth rate of sales.

Which percentile describes the third quartile, Q3?