Exam 3: Numerical Descriptive Measures

SCENARIO 3-2 The data below represent the number of grams of carbohydrates in a serving of breakfast cereal in a sample of 11 different servings. -Referring to Scenario 3-2, the kurtosis statistic for the carbohydrate amount in the cereal is ________.

As a rule, a value is considered an extreme value if its Z score is less than -3.

SCENARIO 3-9 The following table represents the assets in billions of dollars of the five largest bond funds sometime in the past. -Referring to Scenario 3-9, what is the mean for this population of the five largest bond funds?

The coefficient of variation measures variability in a data set relative to the size of the arithmetic mean.

SCENARIO 3-4 The ordered array below represents the number of cargo manifests approved by customs inspectors of the Port of New York in a sample of 35 days: Note: For this sample, the sum of the values is 838, and the sum of the squared differences between each value and the mean is 619.89. -Referring to Scenario 3-4, the median of the customs data is ________.

In a right-skewed distribution

The larger the Z score, the farther is the distance from the value to the median.

SCENARIO 3-7 In a recent academic year, many public universities in the United States raised tuition and fees due to a decrease in state subsidies.The change in the cost of tuition, a shared dormitory room, and the most popular meal plan from the previous academic year for a sample of 10 public universities were as follows: $1,589, $593, $1,223, $869, $423, $1,720, $708, $1425, $922 and $308. -Referring to Scenario 3-7, are the data skewed? If so, how?

SCENARIO 3-4 The ordered array below represents the number of cargo manifests approved by customs inspectors of the Port of New York in a sample of 35 days: Note: For this sample, the sum of the values is 838, and the sum of the squared differences between each value and the mean is 619.89. -Referring to Scenario 3-4, the coefficient of variation of the customs data is ________ percent.

If the distribution of a data set were perfectly symmetrical, the distance from Q₁ to the median would always equal the distance from Q₃ to the median in a boxplot.

Which of the following statistics is not a measure of central tendency?

If the data set is approximately bell-shaped, the empirical rule will more accurately reflect the greater concentration of data close to the mean as compared to the Chebyshev rule.

Which of the following is sensitive to extreme values?

Which descriptive summary measures are resistant statistics?

SCENARIO 3-1 Health care issues are receiving much attention in both academic and political arenas.A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for Medicaid.The ages of 25 senior citizens were as follows: -Referring to Scenario 3-1 determine the first quartile of the ages of the senior citizens.

SCENARIO 3-7 In a recent academic year, many public universities in the United States raised tuition and fees due to a decrease in state subsidies.The change in the cost of tuition, a shared dormitory room, and the most popular meal plan from the previous academic year for a sample of 10 public universities were as follows: $1,589, $593, $1,223, $869, $423, $1,720, $708, $1425, $922 and $308. -Referring to Scenario 3-7, what is the five-number summary of the change in the cost?

SCENARIO 3-1 Health care issues are receiving much attention in both academic and political arenas.A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for Medicaid.The ages of 25 senior citizens were as follows: -Referring to Scenario 3-1, calculate the variance of the ages of the senior citizens correct to the nearest hundredth of a year squared.

The Z score of a value can never be negative.

The rate of return for a stock over a three-year period is 0.527, 0.145, and 0.684.The geometric mean rate of return is _______.

SCENARIO 3-3 The ordered array below represents the number of vitamin supplements sold by a health food store in a sample of 16 days. Note: For this sample, the sum of the values is 448, and the sum of the squared differences between each value and the mean is 812. -Referring to Scenario 3-3, the coefficient of variation of the number of vitamin supplements sold in this sample is ________ percent.