Exam 3: Describing Data: Numerical Measures

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? _________________.

The Canal Corporation recorded the last five annual percent changes in profit. What is the mean annual percentage change over the last five years? ___________.

The mean absolute deviation is always positive because the numerator computes the _______________.

A set of ordinal, interval or ratio level data may only have one mode.

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? _______________________

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? _____________.

What is the median of 26, 30, 24, 32, 32, 31, 27 and 29?

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? ___________.

What is the relationship between the mean and median in a negatively skewed distribution? _______________

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?

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)?

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? _______________________

According to the Empirical Rule, what percent of the observations lie within plus and minus one standard deviation of the mean? _______

For a data set, half of the observations are always greater than the

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

When computing a weighed mean, the denominator is always ____________.

A sample of five full service gasoline stations, each carrying three grades of gasoline, was taken and the price per liter (to the nearest cent) was recorded for each grade of gasoline, as shown in the table below. What is the median price of Super Unleaded gas? _______.

A small manufacturing company with 52 employees has annual salaries distributed such that the mean is $25,459, the median is $24,798 and the mode is $24,000. An additional foreman is hired at an annual salary of $50,700. What measure of central location is most affected by the addition of this salary? ___________________

Assume a student received the following grades for the semester: History, B; Statistics, A; Spanish, C; and English,C. History and English are 5 credit hour courses, Statistics a 4 credit hour course and Spanish a 3 credit hour course. If 4 grade points are assigned for an A, 3 for a B and 2 for a C, what is the weighted mean for the semester grades?

A geometric mean is useful to compute the average percent change over _______.