Exam 3: Numerical Descriptive Measures

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 third quartile of the number of vitamin supplements sold in this sample is ________.

True or False: A population with 200 elements has an arithmetic mean of 10.From this information, it can be shown that the population standard deviation is 15.

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, does the distribution of the sample appear to be lepokurtic or platykurtic?

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 which of the following is the correct statement.

According to the empirical rule, if the data form a "bell-shaped" normal distribution, _______ Percent of the observations will be contained within 2 standard deviations around 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, the arithmetic mean of the number of vitamin supplements sold in this sample is ________.

True or False: 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.

True or False: The coefficient of variation is a measure of relative variation.

True or False: In a boxplot, the box portion represents the data between the first and third quartile values.

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

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

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 first quartile of the number of vitamin supplements sold in this sample is ________.

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 range in the carbohydrate amounts is ________ grams.

True or False: A boxplot is a graphical representation of a five-number summary.

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

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 five-number summary of the data in this sample consists of ________, ________, ________, ________, ________.

True or False: In a sample of size 40, the sample mean is 15.In this case, the sum of all observations in the sample is

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 five-number summary of the carbohydrate amounts consists of ________, ________, ________, ________, ________.

True or False: The five-number summary consists of the smallest value, the first quartile, the median, the third quartile, and the largest value.

Which of the following is the easiest to compute?