Deck 3: Numerical Descriptive Measures

Question 1

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

A) mode
B) median
C) Q3
D) arithmetic mean

Answer 1

C

Question 2

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

A) variance and interquartile range
B) arithmetic mean and standard deviation
C) interquartile range and median
D) CV and range

Answer 2

C

Question 3

Which descriptive summary measures are considered to be resistant statistics?

A) the interquartile range and range
B) the arithmetic mean and standard deviation
C) the mode and variance
D) the median and interquartile range

Answer 3

D

Question 4

In general, which of the following descriptive summary measures cannot be easily approximated from a boxplot?

A) the variance
B) the median
C) the interquartile range
D) the range

Question 5

According to the Chebyshev rule, at least what percentage of the observations in any data set are contained within a distance of 2 standard deviations around the mean?

A) 88.89%
B) 75%
C) 67%
D) 95%

Question 6

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.

A) 99.7
B) 68.26
C) 95.0
D) 75.00

Question 7

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

A) The distance from Q1 to Q2 is smaller than the distance from Q2 to Q3.
B) The arithmetic mean is smaller than the median.
C) The mode is larger than the arithmetic mean.
D) The distance from Q1 to Q2 is larger than the distance from Q2 to Q3.

Question 8

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

A) The distance from Q1 to Q3 is twice the distance from the Q1 to Q2.
B) The distance from the smallest observation to Q1 is larger than the distance from Q3 to the largest observation.
C) The distance from the smallest observation to Q2 is smaller than the distance from Q2 to the largest observation.
D) The distance from Q1 to Q2 is smaller than the distance from Q2 to Q3.

Question 9

The smaller the spread of scores around the arithmetic mean

A) the smaller the standard deviation.
B) the smaller the interquartile range.
C) the smaller the coefficient of variation.
D) all of the above

Question 10

Which of the following is the easiest to compute?

A) the median
B) the mode
C) the geometric mean
D) the arithmetic mean

Question 11

According to the Chebyshev rule, at least 93.75% of all observations in any data set are contained within a distance of how many standard deviations around the mean?

A) 1
B) 2
C) 3
D) 4

Question 12

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?

A) 1
B) 2
C) 3
D) 4

Question 13

Which measure of central tendency can be used for both numerical and categorical variables?

A) geometric mean
B) median
C) arithmetic mean
D) mode

Question 14

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.

A) 93.75
B) 95.44
C) 68.26
D) 88.89

Question 15

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:
$$\begin{array} { l l l l l l l l l l l l l } 60 & 61 & 62 & 63 & 64 & 65 & 66 & 68 & 68 & 69 & 70 & 73 & 73 \\74 & 75 & 76 & 76 & 81 & 81 & 82 & 86 & 87 & 89 & 90 & 92\end{array}$$

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

A) The middle 50% of the senior citizens sampled are between 65.5 and 73.0 years of age.
B) 25% of the senior citizens sampled are older than 81.5 years of age.
C) One fourth of the senior citizens sampled are below 64 years of age.
D) All of the above are correct.

Question 16

In a right-skewed distribution

A) the median is less than the arithmetic mean.
B) the median equals the arithmetic mean.
C) the median is larger than the arithmetic mean.
D) none of the above

Question 17

In a perfectly symmetrical bell-shaped "normal" distribution

A) the arithmetic mean equals the mode.
B) the arithmetic mean equals the median.
C) the median equals the mode.
D) all of the above

Question 18

In perfectly symmetrical distributions, which of the following is not a correct statement?

A) The distance from the smallest observation to Q2 is the same as the distance from Q2 to the largest observation.
B) The distance from the smallest observation to Q1 is the same as the distance from Q3 to the largest observation.
C) The distance from Q1 to Q3 is half of the distance from the smallest to the largest observation.
D) The distance from Q1 to Q2 equals to the distance from Q2 to Q3.

Question 19

Which of the following is sensitive to extreme values?

A) the arithmetic mean
B) the median
C) the interquartile range
D) the 1^st quartile

Question 20

According to the empirical rule, if the data form a "bell-shaped" normal distribution, percent of the observations will be contained within 1 standard deviation around the arithmetic mean.

A) 93.75
B) 88.89
C) 75.00
D) 68.26

Question 21

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

A) It is equal to Q2.
B) It is a measure of central tendency.
C) It is more affected by extreme values than the arithmetic mean.
D) It is equal to the mode in bell-shaped "normal" distributions.

Question 22

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:

$\begin{array}{lllllllllllll}60 & 61 & 62 & 63 & 64 & 65 & 66 & 68 & 68 & 69 & 70 & 73 & 73 \\ 74 & 75 & 76 & 76 & 81 & 81 & 82 & 86 & 87 & 89 & 90 & 92 & \end{array}$


-Referring to Table 3-4, the five-number summary for the data in the customs sample consists of ____, ____ , _____, ______, and ____ .

Question 23

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 range in the carbohydrate amounts is ____grams.

Question 24

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 coefficient of variation of the carbohydrate amounts is _____percent.

Question 25

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, are the data skewed? If so, how?

Question 26

$$\text { TABLE 3-7 }$$ Given below is the frequency distribution of the 12-month rate of return achieved by 30 stocks.
$\begin{array}{cc}\hline \begin{array}{c}\text { 12- month Rate of Return} \\\end{array} & \text { Number of Funds } \\\hline-0.10 \text { but less th an } 0.0 & 3 \\0.0 \text { but less th an } 0.1 & 5 \\0.1 \text { but less th } 0.2 & 6 \\0.2 \text { but less th } 0.3 & 10 \\0.3 \text { but less than } 0.4 & 6 \\\hline\end{array}$


-Referring to Table 3-7, what is the approximate standard deviation?

Question 27

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 standard deviation of the change in the cost?

Question 28

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 is the mean percentage of the total code that is part of the reuse database?

Question 29

$$\text { TABLE 3-2 }$$ 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 arithmetic mean carbohydrates in this sample is _____grams.

Question 30

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

A) the interquartile range
B) the arithmetic mean
C) the mode
D) the geometric mean

Question 31

According to the Chebyshev rule, at least what percentage of the observations in any data set are contained within a distance of 3 standard deviations around the mean?

A) 99.7%
B) 88.89%
C) 75%
D) 67%

Question 32

$$\text { TABLE 3-2 }$$ 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).

Question 33

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.
$\begin{array}{ll}\hline \text { Stem}&\text { Leaves } \\\hline \text { 1H } & 99 \\\text { 2L } & 0023 \\\text { 2H } & 567 \\\text { 3L } & 034 \\\text { 3H } & 568 \\\text { 4L } & 1\\\hline \end{array}$
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 coefficient of variation of the number of vitamin supplements sold in this sample is_________ percent.

Question 34

In a perfectly symmetrical distribution

A) the range equals the interquartile range.
B) the median equals the arithmetic mean.
C) the interquartile range equals the arithmetic mean.
D) the variance equals the standard deviation.

Question 35

Which of the arithmetic mean, median, mode, and geometric mean are resistant measures of central tendency?

A) the arithmetic mean and median only
B) the median and mode only
C) the arithmetic mean and mode only
D) the mode and geometric mean only

Question 36

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:

$\begin{array}{lllllllllllll}60 & 61 & 62 & 63 & 64 & 65 & 66 & 68 & 68 & 69 & 70 & 73 & 73 \\ 74 & 75 & 76 & 76 & 81 & 81 & 82 & 86 & 87 & 89 & 90 & 92 & \end{array}$


-Referring to Table 3-1, identify the median age of the uninsured senior citizens.

Question 37

Which of the following is not sensitive to extreme values?

A) the range
B) the standard deviation
C) the coefficient of variation
D) the interquartile range

Question 38

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.
$\begin{array}{ll}\hline\text { Stem }&\text { Leaves } \\\hline1 \mathrm{H} & 67889 \\2 \mathrm{~L} & 0011122223333444 \\2 H & 5566678899 \\3 \mathrm{~L} & 1122 \\\hline\end{array}$
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 first quartile of the customs data is_____ .

Question 39

$$\text { TABLE 3-1 }$$ Healthcare issues are receiving muchattentionin bothacademic and political arenas. A sociologistrecently conducted a survey of citizens over 60 years of age whose net worthis too high to qualify for Medicaid and have no private health insurance. The ages of 25 uninsured senior citizens were as follows: $$\begin{array} { l l l l l l l l l l l l l } 60 & 61 & 62 & 63 & 64 & 65 & 66 & 68 & 68 & 69 & 70 & 73 & 73 \\74 & 75 & 76 & 76 & 81 & 81 & 82 & 86 & 87 & 89 & 90 & 92\end{array}$$

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

A) The average age of senior citizens sampled is 73.5 years of age.
B) One fourth of the senior citizens sampled are below 65.5 years of age.
C) The middle 50% of the senior citizens sampled are between 65.5 and 73.0 years of age.
D) All of the above are correct.

Question 40

TABLE 3-5
The rate of return of a Fortune 500 company over the past 15 years are: 3.17%, 4.43%, 5.93%, 5.43%, 7.29%, 8.21%, 6.23%,
5.23%, 4.34%, 6.68%, 7.14%, -5.56%, -5.23%, -5.73%, -10.34%
Referring to Table 3-5, what is the shape of the distribution for the rate of return?

Question 41

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 Table 3-2, construct a boxplot for the carbohydrate amounts.

Question 42

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?

Question 43

The 12-month rate of returns over a nine- year period of a particular stock is 0.099, - 0.289, 0.089, 0.226, 0.041, 0.161, 0.064, - 0.029 and 0.022. The geometric mean rate of return for this stock is ________.

Question 44

$$\text { TABLE 3-2 }$$ 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 five-number summary of the carbohydrate amounts consists of_____,_____ ,_____ ,_____ , and ______.

Question 45

TABLE 3-6
The rate of return of an Internet Service Provider over a 10- year period are: 10.25%, 12.64%, 8.37%, 9.29%, 6.23%, 42.53%,
29.23%, 15.25%, 21.52%, -2.35%.
Referring to Table 3-6, compute the geometric mean rate of return.

Question 46

TABLE 3-8
Given below is the frequency distribution of the number of defective tomatoes in 50 different shipments.

Referring to Table 3-8, what is the approximate mean number of defective tomatoes?

Question 47

TABLE 3-11
The following table represents the assets in billions of dollars of the five largest bond funds.
$\begin{array}{lr}\hline \text {Bond Fund}&\text {Assets (Billions \$ }\\\hline \text { Vanguard GNMA } & 19.5 \\\text { Vanguard Total Bond Mkt. Index } & 16.8 \\\text { Bond Fund of America A } & 13.7 \\\text { Franklin Calif. Tax-Free Inc. A } & 12.8 \\\text { Vanguard Short-Term Corp. } & 10.9\\\hline \end{array}$


-Referring to Table 3-11, what are the variance and standard deviation for this population?

Question 48

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:

Referring to Table 3-1, identify the third quartile of the ages of the uninsured senior citizens.

Question 49

$$\text { TABLE 3-6 }$$ The rate of return of an Internet Service Provider over a 10- year period are: 10.25%, 12.64%, 8.37%, 9.29%, 6.23%, 42.53%,
29.23%, 15.25%, 21.52%, -2.35%.

-Referring to Table 3-6, construct a boxplot for the rate of return

Question 50

TABLE 3-7
Given below is the frequency distribution of the 12-month rate of return achieved by 30 stocks.
$\begin{array}{ll}\hline\text { 12- month Rate of Return } & \text { Number of Funds } \\\hline-0.10 \text { but less than } 0.0 & 3 \\0.0 \text { but less th an } 0.1 & 5 \\0.1 \text { but less than } 0.2 & 6 \\0.2 \text { but less than } 0.3 & 10 \\0.3 \text { but less than } 0.4 & 6 \\\hline\end{array}$


-Referring to Table 3-7, what is the approximate mean rate of return?

Question 51

TABLE 3-10
The time period from 2000 to 2003 saw a great deal of volatility in the value of stocks. The data in the following table represent the total rate of return of the Dow Jones Industrial Index, the Standard & Poor's 500, the Russell 2000 Index, and the Wilshire 5000 Index from 2000 to 2003.

Referring to Table 3-10, calculate the geometric mean rate of return for the Standard & Poor's 500.

Question 52

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.
$\begin{array}{ll}\hline\text { Stem}&\text { Leaves } \\\hline1 \mathrm{H} & 67889 \\2 \mathrm{~L} & 0011122223333444 \\2 \mathrm{H} & 5566678899 \\3 \mathrm{~L} & 1122 \\\hline\end{array}$
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 interquartile range of the customs data is ____.

Question 53

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:

Referring to Table 3-1, identify the interquartile range of the ages of the uninsured senior citizens.

Question 54

$$\text { TABLE 3-4 }$$ 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.
$\begin{array}{ll}\hline\text { Stem}&\text { Leaves } \\\hline1 \mathrm{H} & 67889 \\2 \mathrm{~L} & 0011122223333444 \\2 \mathrm{H} & 5566678899 \\3 \mathrm{~L} & 1122 \\\hline\end{array}$
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_______ .

Question 55

Given below is the frequency distribution of the number of defective tomatoes in 50 different shipments.

Referring to Table 3-8, what is the approximate variance?

Question 56

$$\text { TABLE 3-3 }$$
The stem-and-leaf display below represents the number of vitamin supplements sold by a health food store in a sample of 16 days.
$\begin{array}{cl}\hline \text { Stem} &\text {Leaves } \\ \hline \text { 1H } & 99 \\\text { 2L } & 0023 \\\text { 2H } & 567 \\\text { 3L } & 034 \\\text { 3H } & \mathbf{5 6 8} \\ \text { 4L } & 1\\\hline\end{array}$
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 ______.

Question 57

TABLE 3-5
The rate of return of a Fortune 500 company over the past 15 years are: 3.17%, 4.43%, 5.93%, 5.43%, 7.29%, 8.21%, 6.23%,
5.23%, 4.34%, 6.68%, 7.14%, -5.56%, -5.23%, -5.73%, -10.34%
Referring to Table 3-5, compute the geometric mean rate of return.

Question 58

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.
$\begin{array}{ll}\hline\text { Stem}&\text { Leaves } \\\hline1 \mathrm{H} & 67889 \\2 \mathrm{~L} & 0011122223333444 \\2 \mathrm{H} & 5566678899 \\3 \mathrm{~L} & 1122 \\\hline\end{array}$
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.

Question 59

TABLE 3-5
The rate of return of a Fortune 500 company over the past 15 years are: 3.17%, 4.43%, 5.93%, 5.43%, 7.29%, 8.21%, 6.23%,
5.23%, 4.34%, 6.68%, 7.14%, -5.56%, -5.23%, -5.73%, -10.34%
Referring to Table 3-5, what is the range of the rate of return?

Question 60

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?

Question 61

$$\text { TABLE 3-2 }$$ 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 standard deviation of the carbohydrate amounts is ____grams.

Question 62

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 the2001- 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, the middle 50% of the change in the cost is spread over what value?

Question 63

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.
$\begin{array}{cl}\hline \text { Stem}&\text { Leaves } \\\hline \text { 1H } & 99 \\\text { 2L } & 0023 \\\text { 2H } & 567 \\\text { 3L } & 034 \\\text { 3H } & \mathbf{5 6 8} \\\text { 4L } & 1\\\hline \end{array}$

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

Question 64

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.
$\begin{array}{cl}\hline \text { Stem}&\text { Leaves } \\\hline \text { 1H } & 99 \\\text { 2L } & 0023 \\\text { 2H } & 567 \\\text { 3L } & 034 \\\text { 3H } & \mathbf{5 6 8} \\\text { 4L } & 1\\\hline \end{array}$

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 variance of the number of vitamin supplements sold in this sample is ______.

Question 65

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 median carbohydrate amount in the cereal is____ grams.

Question 66

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:

Referring to Table 3-1, calculate the standard deviation of the ages of the uninsured senior citizens correct to the nearest hundredth of a year.

Question 67

TABLE 3-5
The rate of return of a Fortune 500 company over the past 15 years are: 3.17%, 4.43%, 5.93%, 5.43%, 7.29%, 8.21%, 6.23%, 5.23%, 4.34%, 6.68%, 7.14%, -5.56%, -5.23%, -5.73%, -10.34%

-Referring to Table 3-5, construct a boxplot for the rate of return.

Question 68

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.
$\begin{array}{cl}\hline\text { Stem} &\text {Leaves } \\ \hline\text { 1H } & 67889 \\\text { 2L } & 0011122223333444 \\\text { 2H } & 5566678899\\\text { 3L } & 1122 \\\hline\end{array}$

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 arithmetic mean of the customs data is _____.

Question 69

The rate of return for the S&P 500 over a seven- year period is - 0.029, - 0.061, - 0.493,- 0.286, - 0.160, - 0.186 and - 0.224. The geometric mean rate of return is _____.

Question 70

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:

Referring to Table 3-1, calculate the coefficient of variation of the ages of the uninsured senior citizens.

Question 71

TABLE 3-11
The following table represents the assets in billions of dollars of the five largest bond funds.
$\begin{array}{l}\begin{array}{l}\hline \text { Bond Fund}& \text { Assets (Billions \$) }\\\hline \text { Vanguard GNMA }& 19.5 \\\text { Vanguard Total Bond Mkt. Index } &16.8 \\\text { Bond Fund of America A }& 13.7 \\\text { Franklin C alif. Tax-Free Inc. A }&12.8 \\\text { VanguardShort-T erm Corp. } &10.9 \\\hline\end{array}\end{array}$

-Referring to Table 3-11, what is the mean for this population of the five largest bond funds?

Question 72

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 interquartile range in the carbohydrate amounts is _____grams.

Question 73

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 third quartile of the carbohydrate amounts is_____grams.

Question 74

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 Table 3-2, what type of shape does the distribution of the sample appear to have?

Question 75

TABLE 3-6
The rate of return of an Internet Service Provider over a 10- year period are: 10.25%, 12.64%, 8.37%, 9.29%, 6.23%, 42.53%,29.23%, 15.25%, 21.52%, -2.35%.

-Referring to Table 3-6, compute the arithmetic mean rate of return.

Question 76

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:

Referring to Table 3-1, identify the first quartile of the ages of the uninsured senior citizens.

Question 77

$$\text { TABLE 3-3 }$$ The stem-and-leaf display below represents the number of vitamin supplements sold by a health food store in a sample of 16 days.
$\begin{array}{cl}\hline \text { Stem} &\text {Leaves } \\ \hline \text { 1H } & 99 \\\text { 2L } & 0023 \\\text { 2H } & 567 \\\text { 3L } & 034 \\\text { 3H } & \mathbf{5 6 8} \\\text { 4L } & 1\\\hline \end{array}$
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, construct a boxplot for the data in this sample.

Question 78

$$\text { TABLE 3-7 }$$
Given below is the frequency distribution of the 12-month rate of return achieved by 30 stocks.

$\begin{array} { l l } \hline \text { 12- month Rate of Return} & \text { Number of Funds}\\\hline- 0.10 \text { but less than } 0.0 & 3 \\ 0.0 \text { but less than } 0.1 & 5 \\ 01 \text { but less than } 0.2 & 6 \\ 0.2 \text { but less than } 0.3 & 10 \\ 0.3 \text { but less than } 0.4 & 6\\\hline \end{array}$

-Referring to Table 3-7, what is the approximate variance?

Question 79

$$\text { TABLE 3-9 }$$ 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 (absolute values of) the Z scores of the change in cost?

Question 80

The rate of return for Microsoft's stock over a seven- year period is 0.527, 0.145, 0.684, 1.146, 0.564, 0.883 and 0.436. The geometric mean rate of return is ______ .