Exam 3: Numerical Descriptive Measures

The line drawn within the box of the boxplot always represents the median.

TABLE 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. 11 15 23 29 19 22 21 20 15 25 17 -Referring to Table 3-2, the range in the carbohydrate amounts is ________ grams.

TABLE 3-12 Given below are the rating and performance scores of 15 laptop computers. -Referring to Table 3-12, how will you classify the linear relationship between the performance scores and the rating?

The Z score of a value can never be negative.

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.

TABLE 3-3 The ordered array below represents the number of vitamin supplements sold by a health food store in a sample of 16 days. 19, 19, 20, 20, 22, 23, 25, 26, 27, 30, 33, 34, 35, 36, 38, 41 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 Table 3-3, the coefficient of variation of the number of vitamin supplements sold in this sample is ________ percent.

TABLE 3-11 Given below are the closing prices for the Dow Jones Industrial Average (DJIA) and the Standard & Poor's (S&P) 500 Index over 10 weeks. -Referring to Table 3-11, you will expect an increase in the DJIA to be associated with

TABLE 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 Table 3-1, identify which of the following is the correct statement.

Data on the change in the cost of tuition, a shared dormitory room, and the most popular meal plan from one academic year to the next academic year for a sample of 100 public universities are collected. Below is the boxplot for the change in cost in dollars. The distribution of the change in cost is

You were told that the 1ˢᵗ, 2ⁿᵈ and 3ʳᵈ quartiles of female students' weight at a major university are 95 lbs, 125 lbs, and 138 lbs. What percentage of the students weigh more than 138 lbs?

The median of the values 3.4, 4.7, 1.9, 7.6, and 6.5 is 1.9.

The geometric mean is useful in measuring the rate of change of a variable over time.

TABLE 3-12 Given below are the rating and performance scores of 15 laptop computers. -Referring to Table 3-12, you will expect a decrease in the performance score of one laptop computer to be associated with

TABLE 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: 16, 17, 18, 18, 19, 20, 20, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 25, 25, 26, 26, 26, 27, 28, 28, 29, 29, 31, 31, 32, 32 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 Table 3-4, the first quartile of the customs data is ________.

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

TABLE 3-3 The ordered array below represents the number of vitamin supplements sold by a health food store in a sample of 16 days. 19, 19, 20, 20, 22, 23, 25, 26, 27, 30, 33, 34, 35, 36, 38, 41 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 Table 3-3, construct a boxplot for the data in this sample.

TABLE 3-8 The time period from 2006 to 2009 saw a great deal of volatility in the value of stocks. The data in the following table represent the total rate of return of our companies from 2006 to 2009. -Referring to Table 3-8, calculate the geometric mean rate of return per year for Company C.

TABLE 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 Table 3-7, what is the five-number summary of the change in the cost?

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

In exploratory data analysis, a boxplot can be used to illustrate the median, quartiles, and extreme values.