Exam 3: Describing Data: Numerical Measures

The capacities of several metal containers are 38, 20, 37, 64, and 27 liters. What is the range in liters?

According to Chebyshev's Theorem, at least what percent of the observations lie within plus and minus 1.75 standard deviations of the mean?

For a data set with an odd number of observations that have been sorted from smallest to largest values, where is the median located?

A company's human resources department was interested in the average number of years that a person works before retiring. The sample of size 11 follows: What is the mode?

What is a disadvantage of the range as a measure of dispersion?

The only time the variance equals the standard deviation is when _____________.

The sum of the deviations of each value from the mean is ___.

What are the similarities and differences between the application of Chebyshev's Theorem and the Empirical Rule?

The measure of central location that uses all of the observations in its calculation is called the ___________.

In a frequency distribution, the class with the largest number of observations is called the ___________.

Over the last six months, the following numbers of absences have been reported: 6, 0, 10, 14, 8, and 0. What is the median number of monthly absences?

A sample revealed that the ages of a popular group of musicians are 36, 29, 37, 32, 36, and 75. What is the median age?

The sum of the deviations of each data value from this measure of central location will always be zero.

Cook County public safety monitors the number of "driving under the influence" arrests and is interested in the distribution of arrests in the month of December over the last five years. The data are shown next. What is the sample variance?

A survey item asked students to indicate their class in college: freshman, sophomore, junior, or senior. Which measure(s) of central location would be appropriate for the data generated by that questionnaire item?

From the least difficult to the most difficult to compute, rank the measures of dispersion.

According to Chebyshev's Theorem, 75% of the observations lie within plus and minus 2.00 average mean deviations.

For any data set, which measures of central location have only one value?

Extremely high or low scores affect the value of the median.

A question in a market survey asks for a respondent's favorite car color. Which measure of central location should be used to summarize this question?