Deck 2: Descriptive Statistics: Tabular and Graphical Presentations

Question 1

In a cumulative frequency distribution,the last class will always have a cumulative frequency equal to

A)one
B)100%
C)the total number of elements in the data set
D)None of these alternatives is correct.

Answer 1

C

Question 2

The total number of data items with a value less than the upper limit for the class is given by the

A)frequency distribution
B)relative frequency distribution
C)cumulative frequency distribution
D)cumulative relative frequency distribution

Answer 2

C

Question 3

In constructing a frequency distribution,as the number of classes are decreased,the class width

A)decreases
B)remains unchanged
C)increases
D)can increase or decrease depending on the data values

Answer 3

C

Question 4

The sum of the percent frequencies for all classes will always equal

A)one
B)the number of classes
C)the number of items in the study
D)100

Question 5

The sum of the relative frequencies for all classes will always equal

A)the sample size
B)the number of classes
C)one
D)any value larger than one

Question 6

The relative frequency of a class is computed by

A)dividing the cumulative frequency of the class by n
B)dividing n by cumulative frequency of the class
C)dividing the frequency of the class by n
D)dividing the frequency of the class by the number of classes

Question 7

A frequency distribution is a tabular summary of data showing the

A)fraction of items in several classes
B)percentage of items in several classes
C)relative percentage of items in several classes
D)number of items in several classes

Question 8

The sum of frequencies for all classes will always equal

A)1
B)the number of elements in a data set
C)the number of classes
D)a value between 0 and 1

Question 9

A cumulative relative frequency distribution shows

A)the proportion of data items with values less than or equal to the upper limit of each class
B)the proportion of data items with values less than or equal to the lower limit of each class
C)the percentage of data items with values less than or equal to the upper limit of each class
D)the percentage of data items with values less than or equal to the lower limit of each class

Question 10

The percent frequency of a class is computed by

A)multiplying the relative frequency by 10
B)dividing the relative frequency by 100
C)multiplying the relative frequency by 100
D)adding 100 to the relative frequency

Question 11

In constructing a frequency distribution,the approximate class width is computed as

A)(largest data value - smallest data value)/number of classes
B)(largest data value - smallest data value)/sample size
C)(smallest data value - largest data value)/sample size
D)largest data value/number of classes

Question 12

A tabular summary of a set of data showing the fraction of the total number of items in several classes is a

A)frequency distribution
B)relative frequency distribution
C)frequency
D)cumulative frequency distribution

Question 13

The most common graphical presentation of quantitative data is a

A)histogram
B)bar chart
C)relative frequency
D)pie chart

Question 14

A researcher is gathering data from four geographical areas designated: South = 1;North = 2;East = 3;West = 4.The designated geographical regions represent

A)categorical data
B)quantitative data
C)label data
D)either quantitative or categorical data

Question 15

The relative frequency of a class is computed by

A)dividing the midpoint of the class by the sample size
B)dividing the frequency of the class by the midpoint
C)dividing the sample size by the frequency of the class
D)dividing the frequency of the class by the sample size

Question 16

If several frequency distributions are constructed from the same data set,the distribution with the widest class width will have the

A)fewest classes
B)most classes
C)same number of classes as the other distributions since all are constructed from the same data

Question 17

A frequency distribution is

A)a tabular summary of a set of data showing the relative frequency
B)a graphical form of representing data
C)a tabular summary of a set of data showing the frequency of items in each of several nonoverlapping classes
D)a graphical device for presenting categorical data

Question 18

The difference between the lower class limits of adjacent classes provides the

A)number of classes
B)class limits
C)class midpoint
D)class width

Question 19

Fifteen percent of the students in a school of Business Administration are majoring in Economics,20% in Finance,35% in Management,and 30% in Accounting.The graphical device(s)which can be used to present these data is (are)

A)a line chart
B)only a bar chart
C)only a pie chart
D)both a bar chart and a pie chart

Question 20

Categorical data can be graphically represented by using a(n)

A)histogram
B)frequency polygon
C)ogive
D)bar chart

Question 21

Exhibit 2-1
The numbers of hours worked (per week)by 400 statistics students are shown below.

Refer to Exhibit 2-1.The cumulative relative frequency for the class of 20 - 29

A)is 300
B)is 0.25
C)is 0.75
D)is 0.5

Question 22

In a cumulative percent frequency distribution,the last class will have a cumulative percent frequency equal to

A)one
B)100
C)the total number of elements in the data set
D)None of these alternatives is correct.

Question 23

A tabular method that can be used to summarize the data on two variables simultaneously is called

A)simultaneous equations
B)crosstabulation
C)a histogram
D)an ogive

Question 24

When a histogram has a longer tail to the right,it is said to be

A)symmetrical
B)skewed to the left
C)skewed to the right
D)None of these alternatives is correct.

Question 25

Data that provide labels or names for categories of like items are known as

A)categorical data
B)quantitative data
C)label data
D)category data

Question 26

A histogram is said to be skewed to the left if it has a

A)longer tail to the right
B)shorter tail to the right
C)shorter tail to the left
D)longer tail to the left

Question 27

In a cumulative relative frequency distribution,the last class will have a cumulative relative frequency equal to

A)one
B)zero
C)the total number of elements in the data set
D)None of these alternatives is correct.

Question 28

A histogram is

A)a graphical presentation of a frequency or relative frequency distribution
B)a graphical method of presenting a cumulative frequency or a cumulative relative frequency distribution
C)the history of data elements
D)the same as a pie chart

Question 29

Exhibit 2-1
The numbers of hours worked (per week)by 400 statistics students are shown below.

Refer to Exhibit 2-1.The cumulative percent frequency for the class of 30 - 39 is

A)100%
B)75%
C)50%
D)25%

Question 30

Exhibit 2-1
The numbers of hours worked (per week)by 400 statistics students are shown below.

Refer to Exhibit 2-1.The relative frequency of students working 9 hours or less

A)is 20
B)is 100
C)is 0.95
D)0.05

Question 31

In a scatter diagram,a line that provides an approximation of the relationship between the variables is known as

A)approximation line
B)trend line
C)line of zero intercept
D)line of zero slope

Question 32

Exhibit 2-1
The numbers of hours worked (per week)by 400 statistics students are shown below.

Refer to Exhibit 2-1.If a cumulative frequency distribution is developed for the above data,the last class will have a cumulative frequency of

A)100
B)1
C)30 - 39
D)400

Question 33

Exhibit 2-1
The numbers of hours worked (per week)by 400 statistics students are shown below.

Refer to Exhibit 2-1.The number of students who work 19 hours or less is

A)80
B)100
C)200
D)400

Question 34

Exhibit 2-1
The numbers of hours worked (per week)by 400 statistics students are shown below.

Refer to Exhibit 2-1.The class width for this distribution

A)is 9
B)is 10
C)is 39,which is: the largest value minus the smallest value or 39 - 0 = 39
D)varies from class to class

Question 35

Exhibit 2-1
The numbers of hours worked (per week)by 400 statistics students are shown below.

Refer to Exhibit 2-1.The percentage of students who work at least 10 hours per week is

A)50%
B)5%
C)95%
D)100%

Question 36

Exhibit 2-1
The numbers of hours worked (per week)by 400 statistics students are shown below.

Refer to Exhibit 2-1.The number of students working 19 hours or less

A)is 80
B)is 100
C)is 180
D)is 300

Question 37

A graphical presentation of the relationship between two variables is

A)an ogive
B)a histogram
C)either an ogive or a histogram,depending on the type of data
D)a scatter diagram

Question 38

A situation in which conclusions based upon aggregated crosstabulation are different from unaggregated crosstabulation is known as

A)wrong crosstabulation
B)Simpson's rule
C)Simpson's paradox
D)aggregated crosstabulation

Question 39

Exhibit 2-1
The numbers of hours worked (per week)by 400 statistics students are shown below.

Refer to Exhibit 2-1.The cumulative frequency for the class of 20 - 29

A)is 200
B)is 300
C)is 0.75
D)is 0.5

Question 40

Exhibit 2-1
The numbers of hours worked (per week)by 400 statistics students are shown below.

Refer to Exhibit 2-1.The percentage of students working 19 hours or less is

A)20%
B)25%
C)75%
D)80%

Question 41

Forty shoppers were asked if they preferred the weight of a can of soup to be 6 ounces,8 ounces,or 10 ounces.Below you are given their responses.

a.Construct a frequency distribution and graphically represent the frequency distribution.
b.Construct a relative frequency distribution and graphically represent the relative frequency distribution.

Question 42

Exhibit 2-3
Michael's Compute-All,a national computer retailer,has kept a record of the number of laptop computers they have sold for a period of 80 days.Their sales records are shown below:

Refer to Exhibit 2-3.The class width of the above distribution is

A)0 to 100
B)20
C)80
D)5

Question 43

Twenty employees of the Ahmadi Corporation were asked if they liked or disliked the new district manager.Below you are given their responses.Let L represent liked and D represent disliked.

a.Construct a frequency distribution and a bar chart.
b.Construct a relative frequency distribution and a pie chart.

Question 44

Exhibit 2-2
A survey of 800 college seniors resulted in the following crosstabulation regarding their undergraduate major and whether or not they plan to go to graduate school.

Refer to Exhibit 2-2.Among the students who plan to go to graduate school,what percentage indicated "Other" majors?

A)15.75
B)45
C)54
D)35

Question 45

A student has completed 20 courses in the School of Arts and Sciences.Her grades in the 20 courses are shown below.

a.Develop a frequency distribution and a bar chart for her grades.
b.Develop a relative frequency distribution for her grades and construct a pie chart.

Question 46

A sample of 50 TV viewers were asked,"Should TV sponsors pull their sponsorship from programs that draw numerous viewer complaints?" Below are the results of the survey.(Y = Yes;N = No;W = Without Opinion)

a.Construct a frequency distribution and a bar chart.
b.Construct a relative frequency distribution and a pie chart.

Question 47

Exhibit 2-3
Michael's Compute-All,a national computer retailer,has kept a record of the number of laptop computers they have sold for a period of 80 days.Their sales records are shown below:

Refer to Exhibit 2-3.The number of days in which the company sold less than 60 laptops is

A)20
B)30
C)50
D)60

Question 48

Exhibit 2-3
Michael's Compute-All,a national computer retailer,has kept a record of the number of laptop computers they have sold for a period of 80 days.Their sales records are shown below:

Refer to Exhibit 2-3.The percentage of days in which the company sold at least 40 laptops is

A)37.5%
B)62.5%
C)90.0%
D)75.0%

Question 49

Construct a stem-and-leaf display for the following data.

Question 50

For the following observations,plot a scatter diagram and indicate what kind of relationship (if any)exist between x and y.

Question 51

Exhibit 2-3
Michael's Compute-All,a national computer retailer,has kept a record of the number of laptop computers they have sold for a period of 80 days.Their sales records are shown below:

Refer to Exhibit 2-3.If one develops a cumulative frequency distribution for the above data,the last class will have a frequency of

A)10
B)100
C)0 to 100
D)80

Question 52

Exhibit 2-2
A survey of 800 college seniors resulted in the following crosstabulation regarding their undergraduate major and whether or not they plan to go to graduate school.

Refer to Exhibit 2-2.What percentage of the students does not plan to go to graduate school?

A)280
B)520
C)65
D)32

Question 53

Exhibit 2-2
A survey of 800 college seniors resulted in the following crosstabulation regarding their undergraduate major and whether or not they plan to go to graduate school.

Refer to Exhibit 2-2.What percentage of the students' undergraduate major is engineering?

A)292
B)520
C)65
D)36.5

Question 54

You are given the following data on the ages of employees at a company.Construct a stem-and-leaf display.

Question 55

Exhibit 2-2
A survey of 800 college seniors resulted in the following crosstabulation regarding their undergraduate major and whether or not they plan to go to graduate school.

Refer to Exhibit 2-2.Of those students who are majoring in business,what percentage plans to go to graduate school?

A)27.78
B)8.75
C)70
D)72.22

Question 56

Exhibit 2-3
Michael's Compute-All,a national computer retailer,has kept a record of the number of laptop computers they have sold for a period of 80 days.Their sales records are shown below:

Refer to Exhibit 2-3.The lower limit of the first class is

A)5
B)80
C)0
D)20

Question 57

Thirty students in the School of Business were asked what their majors were.The following represents their responses (M = Management;A = Accounting;E = Economics;O = Others).

a.Construct a frequency distribution and a bar chart.
b.Construct a relative frequency distribution and a pie chart.

Question 58

The SAT scores of a sample of business school students and their genders are shown below.

a.How many students scored less than 20?
b.How many students were female?
c.Of the male students,how many scored 25 or more?
d.Compute row percentages and comment on any relationship that may exist between SAT scores and gender of the individuals.
e.Compute column percentages.

Question 59

There are 800 students in the School of Business Administration.There are four majors in the School: Accounting,Finance,Management,and Marketing.The following shows the number of students in each major.

Develop a percent frequency distribution and construct a bar chart and a pie chart.

Question 60

Exhibit 2-1
The numbers of hours worked (per week)by 400 statistics students are shown below.

Refer to Exhibit 2-1.The midpoint of the last class is

A)50
B)34
C)35
D)34.5

Question 61

A survey of 400 college seniors resulted in the following crosstabulation regarding their undergraduate major and whether or not they plan to go to graduate school.

a.Are a majority of the seniors in the survey planning to attend graduate school?
b.Which discipline constitutes the majority of the individuals in the survey?
c.Compute row percentages and comment on the relationship between the students' undergraduate major and their intention of attending graduate school.
d.Compute the column percentages and comment on the relationship between the students' intention of going to graduate school and their undergraduate major.

Question 62

For the following observations,plot a scatter diagram and indicate what kind of relationship (if any)exist between x and y.

Question 63

The test scores of 14 individuals on their first statistics examination are shown below.

Construct a stem-and-leaf display for these data.

Question 64

A sample of the ages of 10 employees of a company is shown below.

Construct a dot plot for the above data.