Exam 4: Descriptive Statistics

The athletic departments at 10 randomly selected U.S.universities were asked by the Equal Employment Opportunity Commission to state what percentage of their nursing scholarships were presently held by women.The responses were 5,4,2,1,1,2,10,5,5,5.Find the mean,median,mode,and geometric mean.Which is the most appropriate measure of central tendency? The least appropriate? Explain your answer.Is there an outlier?

A sample consists of the following data: 7,11,12,18,20,22,43.Using the "three standard deviation" criterion,the last observation (X = 43)would be considered an outlier.

Which measure of association is unit-free?

A reporter for the campus paper asked five randomly chosen students how many occupants,including the driver,ride to school in their cars.The responses were 1,1,1,1,6.The coefficient of variation is

Which statement is false? Explain.

Twelve randomly chosen students were asked how many times they had missed class during a certain semester,with this result: 3,2,1,2,1,5,9,1,2,3,3,10.The geometric mean is

Which statement is false?

Referring to this box plot of ice cream fat content,the median seems more "typical" of fat content than the midrange as a measure of center.

Patient survival times after a certain type of surgery have a very right-skewed distribution due to a few high outliers.Consequently,which statement is most likely to be correct?

The Empirical Rule can be applied to any distribution,unlike Chebyshev's theorem.

Chebyshev's Theorem

Referring to this box plot of ice cream fat content,the mean would exceed the median.

Which is not a characteristic of the geometric mean as a measure of center?

Given the data set 10,5,2,6,3,4,20,the median value is 5.

Histograms are best used to

Twelve randomly chosen students were asked how many times they had missed class during a certain semester,with this result: 2,1,5,1,1,3,4,3,1,1,5,18.For this sample,the median is

Which statistics offer robust (resistant to outliers)measures of center?

If Excel's sample skewness coefficient is positive,we conclude that

To calculate the Pearson 2 coefficient of skewness Sk2 for a sample,we need the

Which is a characteristic of the mean as a measure of center?