Exam 3: Numerical Descriptive Measures

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

TABLE 3-9 In the 2002- 2003 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 2001- 2002 academic year for a sample of 10 public universities were as follows: $1589, $593, $1223, $869, $423, $1720, $708, $1425, $922 and $308. -Referring to Table 3-9, what are the five-number summary of the change in the cost?

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 and have no private health insurance. The ages of 25 uninsured senior citizens were as follows: 60 61 62 63 64 65 66 68 68 69 70 73 73 74 75 76 76 81 81 82 86 87 89 90 92 -Referring to Table 3-4, the five-number summary for the data in the customs sample consists of ____, ____ , _____, ______, and ____ .

$\text { TABLE 3-3 }$ The stem-and-leaf display below represents the number of vitamin supplements sold by a health food store in a sample of 16 days. Stem Leaves 1H 99 2L 0023 2H 567 3L 034 3H 4L 1 Note (1): 1H means the "high teens" - 15, 16, 17, 18, or 19; 2L means the "low twenties" - 20, 21, 22, 23, or 24; 2H means the "high twenties" - 25, 26, 27, 28, or 29, etc. Note (2): For this sample, the sum of the observations is 448, the sum of the squares of the observations is 13,356, and the sum of the squared differences between each observation and the mean is 812. -Referring to Table 3-3, the arithmetic mean of the number of vitamin supplements sold in this sample is ______.

Which of the following is not sensitive to extreme values?

Which of the following is sensitive to extreme values?

TABLE 3-8 Given below is the frequency distribution of the number of defective tomatoes in 50 different shipments. Defective Items Frequency 0 but less than 5 35 5 but less than 10 7 10 but less than 15 5 15 but less than 20 2 20 but less than 25 1 25 but less than 30 0 -Referring to Table 3-8, what is the approximate mean number of defective tomatoes?

TABLE 3-4 The stem-and-leaf display below represents the number of cargo manifests approved by customs inspectors of the Port of New York in a sample of 35 days. Stem Leaves 1 67889 2 0011122223333444 2 5566678899 3 1122 Note (1): 1H means the "high teens" — 15, 16, 17, 18, or 19; 2L means the "low twenties" — 20, 21, 22, 23, or 24; 2H means the "high twenties" — 25, 26, 27, 28, or 29, etc. Note (2): For this sample, the sum of the observations is 838, the sum of the squares of the observations is 20,684, and the sum of the squared differences between each observation and the mean is 619.89 -Referring to Table 3-4, the third quartile of the customs data is _____ .

TABLE 3-4 The stem-and-leaf display below represents the number of cargo manifests approved by customs inspectors of the Port of New York in a sample of 35 days. Stem Leaves 1 67889 2 0011122223333444 2 5566678899 3 1122 Note (1): 1H means the "high teens" - 15, 16, 17, 18, or 19; 2L means the "low twenties" - 20, 21, 22, 23, or 24; 2H means the "high twenties" - 25, 26, 27, 28, or 29, etc. Note (2): For this sample, the sum of the observations is 838, the sum of the squares of the observations is 20,684, and the sum of the squared differences between each observation and the mean is 619.89. -Referring to Table 3-4, construct a boxplot of this sample.

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

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 and have no private health insurance. The ages of 25 uninsured senior citizens were as follows: 60 61 62 63 64 65 66 68 68 69 70 73 73 74 75 76 76 81 81 82 86 87 89 90 92 -Referring to Table 3-1, identify which of the following is the correct statement.

$\text { TABLE 3-3 }$ The stem-and-leaf display below represents the number of vitamin supplements sold by a health food store in a sample of 16 days. Stem Leaves 1H 99 2L 0023 2H 567 3L 034 3H 4L 1 Note (1): 1H means the "high teens" - 15, 16, 17, 18, or 19; 2L means the "low twenties" - 20, 21, 22, 23, or 24; 2H means the "high twenties" - 25, 26, 27, 28, or 29, etc. Note (2): For this sample, the sum of the observations is 448, the sum of the squares of the observations is 13,356, and the sum of the squared differences between each observation and the mean is 812. -Referring to Table 3-3, the first quartile of the number of vitamin supplements sold in this sample is ______.

$\text { TABLE 3-2 }$ The data below represent the amount of grams of carbohydrates in a serving of breakfast cereal in a sample of 11 different servings. $11\quad15\quad23\quad29\quad19\quad22\quad21\quad20\quad15\quad25\quad17$ -Referring to Table 3-2, the variance of the carbohydrate amounts is_______ (grams squared).

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?

TABLE 3-12 The population of eight analysts at a software firm were asked to estimate the reuse rate when developing a new software system. The following data are given as a percentage of the total code written for a software system that is part of the reuse database. $50,62.5,37.5,75.0,45.0,47.5,15.0,25.0$ -Referring to Table 3-12, what are the variance and standard deviation of the total code that is part of the reuse database?

$\text { TABLE 3-4 }$ The stem-and-leaf display below represents the number of cargo manifests approved by customs inspectors of the Port of New York in a sample of 35 days. Stem Leaves 1 67889 2 0011122223333444 2 5566678899 3 1122 Note (1): 1H means the "high teens" - 15, 16, 17, 18, or 19; 2L means the "low twenties" - 20, 21, 22, 23, or 24; 2H means the "high twenties" - 25, 26, 27, 28, or 29, etc. Note (2): For this sample, the sum of the observations is 838, the sum of the squares of the observations is 20,684, and the sum of the squared differences between each observation and the mean is 619.89. -Referring to Table 3-4, the range of the customs data is_______ .

TABLE 3-9 In the 2002- 2003 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 2001- 2002 academic year for a sample of 10 public universities were as follows: $1589, $593, $1223, $869, $423, $1720, $708, $1425, $922 and $308. -Referring to Table 3-9, what is the mean and median change in the cost?

$\text { TABLE 3-1 }$ 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 and have no private health insurance. The ages of 25 uninsured senior citizens were as follows: 60 61 62 63 64 65 66 68 68 69 70 73 73 74 75 76 76 81 81 82 86 87 89 90 92 -Referring to Table 3-1, identify the interquartile range of the ages of the uninsured senior citizens.

TABLE 3-11 The following table represents the assets in billions of dollars of the five largest bond funds. Bond Fund Assets (Billions \ Vanguard GNMA 19.5 Vanguard Total Bond Mkt. Index 16.8 Bond Fund of America A 13.7 Franklin Calif. Tax-Free Inc. A 12.8 Vanguard Short-Term Corp. 10.9 -Referring to Table 3-11, what are the variance and standard deviation for this population?

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