Exam 3: Numerical Descriptive Measures

In a right-skewed distribution

Which of the following is NOT a measure of central tendency?

True or False: The line drawn within the box of the boxplot always represents the arithmetic mean.

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, is the number of vitamin supplements sold in this sample lepokurtic or platykurtic?

True or False: 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.

True or False: The coefficient of variation is expressed as a percentage.

When extreme values are present in a set of data, which of the following descriptive summary Measures are most appropriate:

True or False: If a set of data is perfectly symmetrical, the arithmetic mean must be identical to the median.

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

SCENARIO 3-2 The data below represent the amount of grams of carbohydrates in a serving of breakfast cereal in a sample of 11 different servings. -Referring to Scenario 3-2, construct a boxplot for the carbohydrate amounts.

True or False: The geometric mean is a measure of variation or dispersion in a set of data.

True or False: The median of a data set with 20 items would be the average of the 10th and the 11th items in the ordered array.

True or False: In right-skewed distributions, the distance from Q3 to the largest value is greater than the distance from the smallest observation to Q1.

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 interquartile range of the ages of the senior citizens.

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.

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 kurtosis statistic for the age of the senior citizens accurate to two decimal places.

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

SCENARIO 3-2 The data below represent the amount of grams of carbohydrates in a serving of breakfast cereal in a sample of 11 different servings. -Referring to Scenario 3-2, is the carbohydrate amount in the cereal leptokurtic or platykurtic?

Which of the following is NOT sensitive to extreme values?

Which of the following statements about the median is not true?