Deck 3: Numerical Descriptive Measures

Question 1

Which of the following is the only measure that can be calculated for qualitative data?

A)mean
B)range
C)mode
D)median

Answer 1

mode

Question 2

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

Answer 2

29

Question 3

The quantity is called the:

A)standard deviation
B)deviation of from the mean
C)variance
D)range

Answer 3

deviation of from the mean

Question 4

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

Question 5

Use the following to answer questions :
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:

Question 6

Use the following to answer questions :
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:

Question 7

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

Question 8

Use the following to answer questions :
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:

Question 9

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

Question 10

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

Question 11

The value of the standard deviation of a data set is:

A)never zero
B)never negative
C)never positive
D)always positive

Question 12

Use the following to answer questions :
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:

Question 13

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

Question 14

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

Question 15

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

Question 16

Use the following to answer questions :
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:

Question 17

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

Question 18

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

Question 19

An outlier influences which of the following summary measures the most?

A)mean
B)median
C)mode
D)median and mode

Question 20

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

A)47
B)77
C)112
D)this data set does not have a unique mode

Question 21

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

The value of is:

Question 22

A numerical measure calculated from population data is called a(n):

A)parameter
B)statistic
C)empirical rule
D)probability distribution

Question 23

Use the following to answer questions :
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:

Question 24

Use the following to answer questions :
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:

Question 25

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

The value of is:

Question 26

Use the following to answer questions :
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:

Question 27

Use the following to answer questions :
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:

Question 28

Use the following to answer questions :
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:

Question 29

Use the following to answer questions :
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:

Question 30

Use the following to answer questions :
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:

Question 31

Use the following to answer questions :
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:

Question 32

Use the following to answer questions :
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:

Question 33

Use the following to answer questions :
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:

Question 34

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

Question 35

Use the following to answer questions :
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:

Question 36

Use the following to answer questions :
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:

Question 37

Use the following to answer questions :
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:

Question 38

Use the following to answer questions :
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:

Question 39

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

Question 40

Use the following to answer questions :
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:

Question 41

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%

Question 42

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

Question 43

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%

Question 44

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%

Question 45

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%

Question 46

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%

Question 47

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

Question 48

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

Question 49

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%

Question 50

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%

Question 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

Question 52

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%

Question 53

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

Question 54

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%

Question 55

Use the following to answer questions :
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:

Question 56

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

Question 57

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%

Question 58

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%

Question 59

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%

Question 60

Use the following to answer questions :
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:

Question 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

Question 62

Use the following to answer questions :
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:

Question 63

Use the following to answer questions :
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?

Question 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.

Question 65

Use the following to answer questions :
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:

Question 66

Use the following to answer questions :
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

Question 67

Use the following to answer questions :
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

Question 68

Use the following to answer questions :
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:

Question 69

Use the following to answer questions :
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%

Question 70

Use the following to answer questions :
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:

Question 71

The percentiles divide a ranked data set into:

A)2 equal parts
B)4 equal parts
C)100 equal parts
D)10 equal parts

Question 72

Use the following to answer questions :
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

Question 73

Use the following to answer questions :
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%

Question 74

Use the following to answer questions :
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:

Question 75

Use the following to answer questions :
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:

Question 76

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.

Question 77

Use the following to answer questions :
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:

Question 78

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

Question 79

Use the following to answer questions :
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?

Question 80

Use the following to answer questions :
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: