# Quiz 3: Numerical Descriptive Measures

Statistics

Q 1Q 1

The mean of a data set is the:
A)value of the middle term in a ranked data set
B)sum of all values divided by the number of values
C)difference between the maximum and minimum values
D)average of the deviations of values from the average

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Multiple Choice

B

Q 2Q 2

The median of a data set is the:
A)value of the middle term in a ranked data set
B)value that occurs with maximum frequency
C)sum of all values divided by the number of values
D)average of the deviations of values from the average

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Multiple Choice

A

Q 3Q 3

You just dropped an outlier from a data set.The value of the mean:
A)is now more than the value of the median
B)is now less than the value of the median
C)is now less than the value of the mode
D)can't be determined from the given information

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D

Q 4Q 4

An outlier influences which of the following summary measures the most?
A)mean
B)median
C)mode
D)median and mode

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Q 5Q 5

Which of the following is the only measure that can be calculated for qualitative data?
A)mean
B)range
C)mode
D)median

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Q 6Q 6

If a data set is right-skewed with one peak in the histogram,then which of the following is true?
A)the values of the mean,median,and mode are the same
B)the mean is greater than the median,which is greater than the mode
C)the mean and median are equal,but the mode is different
D)the mode is greater than the median,which is greater than the mean

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Multiple Choice

Q 7Q 7

If a distribution is symmetric with one peak,then:
A)the values of the mean,median,and mode are identical
B)the mean is greater than the median,which is greater than the mode
C)the values of the mean and median are equal but the mode is different
D)the mode is greater than the median,which is greater than the mean

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Multiple Choice

Q 8Q 8

Use the following to answer questions 8-10:
The annual salaries of six employees of a company are as follows:
$22,000 $35,000 $22,000 $46,000 $57,000 $51,000
-The mean salary of these employees is:

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Q 9Q 9

Use the following to answer questions 8-10:
The annual salaries of six employees of a company are as follows:
$22,000 $35,000 $22,000 $46,000 $57,000 $51,000
-The median salary of these employees is:

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Short Answer

Q 10Q 10

Use the following to answer questions 8-10:
The annual salaries of six employees of a company are as follows:
$22,000 $35,000 $22,000 $46,000 $57,000 $51,000
-The mode of the salaries of these employees is:

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Q 11Q 11

Use the following to answer questions 11-13:
The points scored by a team in five basketball games are as follows:
118 124 77 99 112
-The mean for this data set is:

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Q 12Q 12

Use the following to answer questions 11-13:
The points scored by a team in five basketball games are as follows:
118 124 77 99 112
-The median for this data set is:

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Multiple Choice

Q 14Q 14

The mean age of five members of a family is 40 years.The ages of four of the five members are 61,60,27,and 23.The age of the fifth member is:
A)32
B)27
C)29
D)35

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Multiple Choice

Q 15Q 15

The scores of eight students taking a mathematics test are 87,93,76,7,84,90,95,and 93.The best measure of central tendency in this case is the:
A)median
B)mean
C)box-and whisker
D)variance

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Multiple Choice

Q 16Q 16

The mean score of 15 male students taking a test is 76 and the mean score of 12 female students taking the same test is 73.The combined mean score of the 27 male and female students is
A)69.15
B)80.19
C)74.67
D)77.43

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Multiple Choice

Q 17Q 17

The summary measure obtained by taking the difference between the minimum and maximum values in a data set is the:
A)median
B)standard deviation
C)variance
D)range

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Multiple Choice

Q 18Q 18

Outliers influence which of the following summary measures?
A)standard deviation
B)interquartile range
C)range
D)A and B only
E)A and C only

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Multiple Choice

Q 19Q 19

The value of the standard deviation of a data set is:
A)never zero
B)never negative
C)never positive
D)always positive

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Q 20Q 20

The quantity is called the:
A)standard deviation
B)deviation of from the mean
C)variance
D)range

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Q 21Q 21

The measurement units of the standard deviation are always:
A)the same as those of the original data
B)the square of the measurement units of the original data
C)50% of the measurement units of the original data
D)the square root of the sum of the squares of the original data set

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Multiple Choice

Q 22Q 22

The procedure for obtaining the variance from the standard deviation is to:
A)take the square root of the standard deviation
B)square the standard deviation
C)divide the standard deviation by 2
D)multiply the standard deviation by 2

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Q 23Q 23

A numerical measure calculated from population data is called a(n):
A)parameter
B)statistic
C)empirical rule
D)probability distribution

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Multiple Choice

Q 24Q 24

Use the following to answer questions 24-26:
The annual salaries of six employees of a company are as follows:
$22,000 $35,000 $22,000 $46,000 $57,000 $51,000
-The range of these salaries is:

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Short Answer

Q 25Q 25

Use the following to answer questions 24-26:
The annual salaries of six employees of a company are as follows:
$22,000 $35,000 $22,000 $46,000 $57,000 $51,000
-The variance of these salaries,rounded to the nearest dollar,is:

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Short Answer

Q 26Q 26

Use the following to answer questions 24-26:
The annual salaries of six employees of a company are as follows:
$22,000 $35,000 $22,000 $46,000 $57,000 $51,000
-The standard deviation of these salaries,rounded to the nearest dollar,is:

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Short Answer

Q 27Q 27

Use the following to answer questions 27-29:
The temperatures (in degrees Fahrenheit)observed during seven days of summer in Los Angeles are:
78 99 68 91 105 75 85
-The range of these temperatures is:

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Short Answer

Q 28Q 28

Use the following to answer questions 27-29:
The temperatures (in degrees Fahrenheit)observed during seven days of summer in Los Angeles are:
78 99 68 91 105 75 85
-The variance of these temperatures,rounded to three decimals,is:

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Short Answer

Q 29Q 29

Use the following to answer questions 27-29:
The temperatures (in degrees Fahrenheit)observed during seven days of summer in Los Angeles are:
78 99 68 91 105 75 85
-The standard deviation,rounded to three decimals,of these temperatures is:

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Short Answer

Q 30Q 30

Use the following to answer questions 30-32:
The times (in minutes)taken by a sample of nine students to complete a statistics test are:
52 47 57 33 39 43 52 41 36
-The range of these times is:

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Short Answer

Q 31Q 31

Use the following to answer questions 30-32:
The times (in minutes)taken by a sample of nine students to complete a statistics test are:
52 47 57 33 39 43 52 41 36
-The variance of these times,rounded to three decimal places,is:

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Short Answer

Q 32Q 32

Use the following to answer questions 30-32:
The times (in minutes)taken by a sample of nine students to complete a statistics test are:
52 47 57 33 39 43 52 41 36
-The standard deviation of these times,rounded to three decimal places,is:

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Short Answer

Q 33Q 33

Use the following to answer questions 33-37:
You have just recorded the waiting times for a random sample of 50 customers who visited Elmo's Pizza Shop.The following table gives the frequency distribution of waiting times (in minutes)for these customers.
-The value of is:

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Q 34Q 34

Use the following to answer questions 33-37:
You have just recorded the waiting times for a random sample of 50 customers who visited Elmo's Pizza Shop.The following table gives the frequency distribution of waiting times (in minutes)for these customers.
-The value of is:

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Short Answer

Q 35Q 35

Use the following to answer questions 33-37:
You have just recorded the waiting times for a random sample of 50 customers who visited Elmo's Pizza Shop.The following table gives the frequency distribution of waiting times (in minutes)for these customers.
-The mean waiting time,rounded to two decimal places,is:

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Short Answer

Q 36Q 36

Use the following to answer questions 33-37:
You have just recorded the waiting times for a random sample of 50 customers who visited Elmo's Pizza Shop.The following table gives the frequency distribution of waiting times (in minutes)for these customers.
-The variance of waiting times,rounded to two decimal places,is:

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Short Answer

Q 37Q 37

Use the following to answer questions 33-37:
You have just recorded the waiting times for a random sample of 50 customers who visited Elmo's Pizza Shop.The following table gives the frequency distribution of waiting times (in minutes)for these customers.
-The standard deviation of waiting times,rounded to two decimal places,is:

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Q 38Q 38

Use the following to answer questions 38-42:
The following table gives the frequency distribution of prices for a sample of 30 college textbooks.
-The value of is:

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Q 39Q 39

Use the following to answer questions 38-42:
The following table gives the frequency distribution of prices for a sample of 30 college textbooks.
-The value of is:

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Q 40Q 40

Use the following to answer questions 38-42:
The following table gives the frequency distribution of prices for a sample of 30 college textbooks.
-The mean price of these textbooks,rounded to two decimal places,is:

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Q 41Q 41

Use the following to answer questions 38-42:
The following table gives the frequency distribution of prices for a sample of 30 college textbooks.
-The variance of the textbook prices,rounded to two decimal places,is:

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Q 42Q 42

Use the following to answer questions 38-42:
The following table gives the frequency distribution of prices for a sample of 30 college textbooks.
-The standard deviation of the textbook prices,rounded to two decimal places,is:

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Q 43Q 43

According to Chebyshev's theorem,the minimum percentage of values that fall within 3 standard deviations of the mean is:
A)86%
B)90%
C)87%
D)89%

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Q 44Q 44

According to Chebyshev's theorem,the minimum percentage of values that fall within 1.5 standard deviations of the mean is:
A)53.56%
B)57.06%
C)55.56%
D)52.56%

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Q 45Q 45

Chebyshev's theorem is applicable to:
A)a bell-shaped distribution
B)a skewed distribution
C)a multimodal distribution
D)A and B only
E)A,B and C

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Q 46Q 46

The empirical rule is applicable to:
A)a bell-shaped distribution
B)a skewed distribution
C)a multimodal distribution
D)A and B only
E)A,B,and C

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Q 47Q 47

According to the empirical rule,the percentage of values that fall within one standard deviation of the mean is approximately:
A)63%
B)72%
C)68%
D)59%

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Q 48Q 48

According to the empirical rule,the percentage of values that fall within two standard deviations of the mean is approximately:
A)93%
B)95%
C)94%
D)91%

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Q 49Q 49

According to the empirical rule,the percentage of values that fall within three standard deviations of the mean is approximately:
A)99.4%
B)99.7%
C)97.9%
D)97.3%

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Q 50Q 50

According to the empirical rule,the percentage of values that fall outside two standard deviations of the mean is approximately:
A)5%
B)9%
C)7%
D)4%

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Multiple Choice

Q 51Q 51

The mean age of all high school teachers in New York state is 41 years and the standard deviation is 6 years.According to Chebyshev's theorem,the percentage of teachers in New York who are 23 to 59 years old is at least:
A)88.89
B)77.78
C)84.39
D)90.89

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Multiple Choice

Q 52Q 52

The mean age of all high school teachers in New York state is 50 years and the standard deviation is 7 years.According to Chebyshev's theorem,the percentage of teachers in New York who are 25.5 to 74.5 years old is at least:
A)91.84
B)83.67
C)87.34
D)93.84

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Multiple Choice

Q 53Q 53

The ages of all high school teachers in New York state have a bell-shaped distribution with a mean of 39 years and a standard deviation of 7 years.According to the empirical rule,the percentage of teachers in this state who are 32 to 46 years old is approximately:
A)75%
B)68%
C)95%
D)62%

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Q 54Q 54

The ages of all high school teachers in New York state have a bell-shaped distribution with a mean of 45 years and a standard deviation of 7 years.According to the empirical rule,the percentage of teachers in this state who are 24 to 66 years old is approximately:
A)99.4%
B)97.9%
C)98.3%
D)99.7%

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Multiple Choice

Q 55Q 55

The ages of all high school teachers in New York state have a bell-shaped distribution with a mean of 43 years and a standard deviation of 6 years.According to the empirical rule,the percentage of teachers in this state who are 31 to 55 years old is approximately:
A)97%
B)94%
C)89%
D)95%

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Multiple Choice

Q 56Q 56

The mean income of all MBA degree holders working in Los Angeles is $65,000 per year and the standard deviation of their incomes is $8,000 per year.According to Chebyshev's theorem,the percentage of MBA degree holders,working in Los Angeles,with an annual income of $33,000 to $97,000 is at least:
A)87.50
B)95.75
C)89.25
D)93.75

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Multiple Choice

Q 57Q 57

The mean income of all MBA degree holders working in Los Angeles is $86,000 per year and the standard deviation of their incomes is $10,500 per year.According to Chebyshev's theorem,the percentage of MBA degree holders,working in Los Angeles,with an annual income of $49,250 to $122,750 is at least::
A)91.84
B)86.39
C)87.34
D)93.84

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Multiple Choice

Q 58Q 58

The annual incomes of all MBA degree holders working in Los Angeles have a bell-shaped distribution with a mean of $71,000 and a standard deviation of $8,000.According to the empirical rule,the percentage of MBA degree holders working in Los Angeles who have an annual income of $63,000 to $79,000 is approximately:
A)86%
B)68%
C)64%
D)89%

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Multiple Choice

Q 59Q 59

The annual incomes of all MBA degree holders working in Los Angeles have a bell-shaped distribution with a mean of $72,000 and a standard deviation of $6,000.According to the empirical rule,the percentage of MBA degree holders working in Los Angeles who have an annual income of $54,000 to $90,000 is approximately:
A)97.9%
B)99.4%
C)94.9%
D)99.7%

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Multiple Choice

Q 60Q 60

The annual incomes of all MBA degree holders working in Los Angeles have a bell-shaped distribution with a mean of $78,000 and a standard deviation of $11,000.According to the empirical rule,the percentage of MBA degree holders working in Los Angeles who have an annual income of $56,000 to $100,000 is approximately:
A)75%
B)95%
C)88%
D)97%

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Multiple Choice

Q 61Q 61

The quartiles divide a ranked data set into:
A)2 equal parts
B)4 equal parts
C)100 equal parts
D)10 equal parts

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Q 62Q 62

The percentiles divide a ranked data set into:
A)2 equal parts
B)4 equal parts
C)100 equal parts
D)10 equal parts

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Q 63Q 63

The value of the third quartile for a data set is 65.This means that:
A)25% of the values in that data set are smaller than 65.
B)75% of the values in that data set are smaller than 65.
C)75% of the values in that data set are greater than 65.
D)50% of the values in that data set are greater than 65.

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Multiple Choice

Q 64Q 64

The value of the 65th percentile for a data set is 82.This means that:
A)35% of the values in that data set are smaller than 82.
B)65% of the values in that data set are greater than 82.
C)65% of the values in that data set are smaller than 82.
D)82% of the values in that data set are greater than 82.

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Multiple Choice

Q 65Q 65

The percentile rank of a value in a data set is 43.This means that:
A)43% of the values in that data set are greater than that value
B)43% of the values in that data set are greater than 43
C)57% of the values in that data set are smaller than that value
D)43% of the values in that data set are smaller than that value

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Multiple Choice

Q 66Q 66

Use the following to answer questions 66-70:
The waiting times (in minutes)for 11 customers at a supermarket are:
14 9 15 4 4 7 9 11 14 2 6
-The first quartile for these data is:

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Q 67Q 67

Use the following to answer questions 66-70:
The waiting times (in minutes)for 11 customers at a supermarket are:
14 9 15 4 4 7 9 11 14 2 6
-The second quartile for these data is:

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Short Answer

Q 68Q 68

Use the following to answer questions 66-70:
The waiting times (in minutes)for 11 customers at a supermarket are:
14 9 15 4 4 7 9 11 14 2 6
-The third quartile for these data is:

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Short Answer

Q 69Q 69

Use the following to answer questions 66-70:
The waiting times (in minutes)for 11 customers at a supermarket are:
14 9 15 4 4 7 9 11 14 2 6
-The approximate value of the 60th percentile for these data is:

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Short Answer

Q 70Q 70

Use the following to answer questions 66-70:
The waiting times (in minutes)for 11 customers at a supermarket are:
14 9 15 4 4 7 9 11 14 2 6
-The percentile rank for the customer who waited 11 minutes is:
A)80.00%
B)72.72%
C)68.33%
D)63.64%

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Multiple Choice

Q 71Q 71

Use the following to answer questions 71-75:
The work experiences (in years)of 14 employees of a company are
8 21 11 4 14 17 11 8 8 7 2 11 27 6
-The first quartile for these data is:

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Q 72Q 72

Use the following to answer questions 71-75:
The work experiences (in years)of 14 employees of a company are
8 21 11 4 14 17 11 8 8 7 2 11 27 6
-The second quartile for these data is:

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Short Answer

Q 73Q 73

Use the following to answer questions 71-75:
The work experiences (in years)of 14 employees of a company are
8 21 11 4 14 17 11 8 8 7 2 11 27 6
-The third quartile for these data is:

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Short Answer

Q 74Q 74

Use the following to answer questions 71-75:
The work experiences (in years)of 14 employees of a company are
8 21 11 4 14 17 11 8 8 7 2 11 27 6
-The approximate value of the 70th percentile for these data is:

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Short Answer

Q 75Q 75

Use the following to answer questions 71-75:
The work experiences (in years)of 14 employees of a company are
8 21 11 4 14 17 11 8 8 7 2 11 27 6
-The percentile rank for the employee with 17 years of experience is:
A)62.96%
B)78.57%
C)68.00%
D)85.71%

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Multiple Choice

Q 76Q 76

Use the following to answer questions 71-75:
The work experiences (in years)of 14 employees of a company are
8 21 11 4 14 17 11 8 8 7 2 11 27 6
-Which of the following does a box-and-whisker plot not show?
A)spread of the data
B)percent of the data within two standard deviations of the mean
C)center of the data set
D)skewness of the data set

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Multiple Choice

Q 77Q 77

Use the following to answer questions 77-78:
Data concerning the time between failures (in hours of operation)for a computer printer have been recorded,and the first quartile equals 38 hours,the second quartile equals 59 hours,and the third quartile equals 87 hours.
-The value for the lower inner fence equals

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Short Answer

Q 78Q 78

Use the following to answer questions 77-78:
Data concerning the time between failures (in hours of operation)for a computer printer have been recorded,and the first quartile equals 38 hours,the second quartile equals 59 hours,and the third quartile equals 87 hours.
-The value for the upper inner fence equals

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Short Answer

Q 79Q 79

Use the following to answer questions 79-90:
The following data represent the ages of 15 people buying lift tickets at a ski area.
15 25 26 17 38 16 74 41 30 24 28 40 20 34 31
-What is the mean of these data,rounded to two decimal places?

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Short Answer

Q 80Q 80

Use the following to answer questions 79-90:
The following data represent the ages of 15 people buying lift tickets at a ski area.
15 25 26 17 38 16 74 41 30 24 28 40 20 34 31
-What is the median of these data?

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Short Answer

Q 81Q 81

Use the following to answer questions 79-90:
The following data represent the ages of 15 people buying lift tickets at a ski area.
15 25 26 17 38 16 74 41 30 24 28 40 20 34 31
-What is the range of these data?

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Short Answer

Q 82Q 82

Use the following to answer questions 79-90:
The following data represent the ages of 15 people buying lift tickets at a ski area.
15 25 26 17 38 16 74 41 30 24 28 40 20 34 31
-What is the variance of these data,rounded to two decimal places?

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Short Answer

Q 83Q 83

Use the following to answer questions 79-90:
The following data represent the ages of 15 people buying lift tickets at a ski area.
15 25 26 17 38 16 74 41 30 24 28 40 20 34 31
-What is the standard deviation of these data,rounded to two decimal places?

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Short Answer

Q 84Q 84

Use the following to answer questions 79-90:
The following data represent the ages of 15 people buying lift tickets at a ski area.
15 25 26 17 38 16 74 41 30 24 28 40 20 34 31
-What is the value of the first quartile?

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Q 85Q 85

Use the following to answer questions 79-90:
The following data represent the ages of 15 people buying lift tickets at a ski area.
15 25 26 17 38 16 74 41 30 24 28 40 20 34 31
-What is the value of the third quartile?

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Q 86Q 86

Use the following to answer questions 79-90:
The following data represent the ages of 15 people buying lift tickets at a ski area.
15 25 26 17 38 16 74 41 30 24 28 40 20 34 31
-What is the value of the interquartile range?

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Q 87Q 87

Use the following to answer questions 79-90:
The following data represent the ages of 15 people buying lift tickets at a ski area.
15 25 26 17 38 16 74 41 30 24 28 40 20 34 31
-What is the value of the lower inner fence?

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Short Answer

Q 88Q 88

Use the following to answer questions 79-90:
The following data represent the ages of 15 people buying lift tickets at a ski area.
15 25 26 17 38 16 74 41 30 24 28 40 20 34 31
-What is the value of the upper inner fence?

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Essay

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Q 92Q 92

Let s

_{1},s_{2},and s_{3}be the standard deviations of the bell-shaped graphs I,II,and III,respectively.Place them in increasing order. A) B) C) D)Free

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