Exam 3: Numerical Descriptive Measures

In right-skewed distributions, which of the following is the correct statement?

A manufacturer of flashlight batteries took a sample of 130 batteries from a day's production and Used them continuously until they were drained.The number of hours until failure are recorded. Given below is the boxplot of the number of hours it took to drain each of the 130 batteries.The Distribution of the number of hours 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 range of the number of vitamin supplements sold in this sample is ________.

True or False: The interquartile range is a measure of central tendency in a set of data.

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 kurtosis statistic for the carbohydrate amount in the cereal is ________.

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, what type of shape does the distribution of the sample appear to have?

True or False: In a set of numerical data, the value for Q3 can never be smaller than the value for Q1.

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, construct a boxplot for the data in this sample.

True or False: In a set of numerical data, the value for Q2 is always halfway between Q1 and Q3.

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, identify which of the following is the correct statement.

True or False: The interquartile range is a measure of variation or dispersion in a set of data.

In a perfectly symmetrical bell-shaped "normal" distribution

According to the Chebyshev rule, at least 75% of all observations in any data set are contained Within a distance of how many standard deviations around the mean?

In a perfectly symmetrical distribution

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 third quartile of the carbohydrate amounts is ________ grams.

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, what type of shape does the distribution of the sample appear to have?

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 median carbohydrate amount in the cereal is ________ grams.

If the arithmetic mean of a numerical data set is greater than the median, the data are considered to be _______ skewed.

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 kurtosis statitic of the number of vitamin supplements sold in this sample is ________.

According to the empirical rule, if the data form a "bell-shaped" normal distribution, _______ Percent of the observations will be contained within 3 standard deviations around the arithmetic Mean.