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Exam 3: Descriptive Statistics: Numerical Measures

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Question 41

Multiple Choice

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The measure of dispersion which is not measured in the same units as the original data is the

A) median
B) standard deviation
C) coefficient of determination
D) variance

E) None of the above
F) B) and C)

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Question 42

Multiple Choice

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Which of the following symbols represents the standard deviation of the population?

A) $\sigma$ ²
B) $\sigma$
C) $\mu$
D) $\overline{\mathrm{x}}$

E) B) and C)
F) A) and B)

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Question 43

Multiple Choice

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The most important statistical descriptive measure of the location of a data set is the

From a population of size 1,000, a random sample of 100 items is selected. The mean of the sample

A box plot is a graphical technique which is used for

The following data represent the daily demand (y in thousands of units) and the unit price (x in dollars) for a product. a.Compute and interpret the sample covariance for the above data. b.Compute and interpret the sample correlation coefficient.

In the fall semester of 2009, the average Graduate Management Admission Test (GMAT) of the students at UTC was 500 with a standard deviation of 80. In the fall of 2010, the average GMAT was 560 with a standard deviation of 84. Which year's GMAT scores show a more dispersed distribution?

The coefficient of variation is

Exhibit 3-4 The following is the frequency distribution for the speeds of a sample of automobiles traveling on an interstate highway. -Refer to Exhibit 3-4. The standard deviation is

The standard deviation of a sample of 100 observations equals 64. The variance of the sample equals

Exhibit 3-2 A researcher has collected the following sample data -Refer to Exhibit 3-2. The mean is

Exhibit 3-3 A researcher has collected the following sample data. The mean of the sample is 5. -Refer to Exhibit 3-3. The coefficient of variation is

If the coefficient of variation is 40% and the mean is 70, then the variance is

Compute the weighted mean for the following data.

A researcher has obtained the number of hours worked per week during the summer for a sample of fifteen students. Using this data set, compute the a. median b. mean c. mode d. 40th percentile e. range f. sample variance g. standard deviation

Which of the following is not a measure of dispersion?

Since the population is always larger than the sample, the value of the sample mean

The difference between the largest and the smallest data values is the

Descriptive statistics for the closing stock prices of two companies for several trading periods are shown below. a.Which company's stock price has a more dispersed distribution? Explain. Show your complete work and support your answer. b.Compare the Skewness of the two and explain what is indicated.

When data are positively skewed, the mean will usually be