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Statistical Techniques
Exam 3: Describing Data: Numerical Measures
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Question 41
Short Answer
A company's human resource department was interested in the average number of years that a person works before retiring. The sample of size 11 follows:
Based on the values of the arithmetic mean, median, and mode, what is the most likely shape of the distribution? _________________.
Question 42
Short Answer
The Canal Corporation recorded the last five annual percent changes in profit.
What is the mean annual percentage change over the last five years? ___________.
Question 43
Essay
The mean absolute deviation is always positive because the numerator computes the _______________.
Question 44
True/False
A set of ordinal, interval or ratio level data may only have one mode.
Question 45
Short Answer
The mean monthly income of a group of college students is $500; the standard deviation is $50. And the mean monthly income is normally distributed. Approximately, what percent of the incomes will lie between $400 and $600? _______________________
Question 46
Short Answer
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? _____________.
Question 47
Multiple Choice
What is the median of 26, 30, 24, 32, 32, 31, 27 and 29?
Question 48
Short Answer
A company's human resource department was interested in the average number of years that a person works before retiring. The sample of size 11 follows:
What is the median? ___________.
Question 49
Short Answer
What is the relationship between the mean and median in a negatively skewed distribution? _______________
Question 50
Short Answer
The distribution of annual salaries for 52 employees in a small manufacturing company has the following averages: the mean is $25,459, the median is $24,798 and the mode is $24,000. What is the total amount paid for employee salaries?
Question 51
Multiple Choice
Each person who applies for an assembly job at Robert's Electronics is given a mechanical aptitude test. One part of the test involves assembling a plug-in unit based on numbered instructions. A sample of the length of time it took 42 persons to assemble the unit was organized into the following frequency distribution.
What is the standard deviation (in minutes) ?
Question 52
Short Answer
The mean monthly income of a group of college students is $500; the standard deviation is $20. According to Chebyshev's theorem, at least what percent of the incomes will lie between $400 and $600? _______________________