Exam 4: Numerical Descriptive Techniques

Which of the following summary measures is sensitive to extreme values?

Which of the following summary measures cannot be easily approximated from a box plot?

Is a standard deviation of 10 a large number indicating great variability, or is it small number indicating little variability? To answer this question correctly, one should look carefully at the value of the:

What statistics and graphs can you use to answer the following question: Are the observations close to one another, or are they widely dispersed?

Hours of Playing Video Games Suppose that the following data provide the hours of playing video games per week for a sample of 15 high school students in Roanoke, Virginia: 5, 11, 25, 19, 18, 20, 27, 13, 8, 10, 15, 19, 18, 9, and 12. -{Hours of Playing Video Games Narrative} Determine the location and value of the third quartile.

____________________ uses both the mean and the standard deviation to interpret standard deviation for histograms of any shape.

2-Year Investment Suppose you make a 2-year investment of $5,000 and it grows by 100% to $10,000 during the first year.During the second year, however, the investment suffers a 50% loss, from $10,000 back to $5,000. -{2-Year Investment Narrative} Calculate the geometric mean.

There are three statistics used to measure variability in a data set; the range, the ____________________, and the ____________________.

Which of the following is correct about the shape of a distribution?

Which measures of central location and variability are considered to be resistant to extreme values?

A percentile is a measure of ____________________ standing.

The ____________________ uses both the mean and the standard deviation to interpret standard deviation for bell shaped histograms.

Ages of Retirees A sociologist recently conducted a survey of retirees over 65 years of age whose net worth is too high to qualify for Medicaid and who have no private health insurance.The ages of 20 uninsured retirees were as follows: 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 78, 79, 80, 81, 86, 87, 91, 92, 94, and 97. -{Ages of Retirees Narrative} Describe the shape of the distribution of ages by comparing the quartiles.

A statistic that interprets the standard deviation relative to the size of the numbers in the data set is called the ____________________ of ____________________.

When extreme values are present in a set of data, which of the following descriptive summary measures are most appropriate?

A perfect straight line sloping downward would produce a correlation coefficient equal to:

The middle line inside the box in a box plot represents the ____________________.

Yearly Donations The following data represent the yearly donations (in thousands of dollars) of a sample of 13 benefactors: 26.5, 23.5, 29.7, 24.8, 21.1, 24.3, 20.4, 22.7, 27.2, 23.7, 24.1, 24.8, and 28.2. -{Yearly Donations Narrative} Compute the lower quartile for the donations.

The ____________________ mean is used whenever we wish to find the "average" growth rate, or rate of change, in a variable over time.

If two data sets have the same standard deviation, they must have the same coefficient of variation.