Deck 2: Organising and Visualising Data

Question 1

In a survey,150 executives were asked what they think is the most common mistake candidates make during job interviews.Six different mistakes were given.Which of the following is the best for presenting the information?

A) A bar chart.
B) A contingency table.
C) A stem-and-leaf display.
D) A histogram.

Answer 1

A

Question 2

Retailers are always interested in determining why a customer selected their store to make a purchase.A clothing retailer conducted a customer survey to determine why its customers shopped at the store.The results are shown in the bar chart below.What proportion of the customers responded that they shopped at the store because of the merchandise or the convenience?

A) 85%
B) 70%
C) 50%
D) 35%

Answer 2

70%

Question 3

Instruction 2.2
At a meeting of information systems officers for regional offices of a national company, a survey was taken to determine the number of employees the officers supervise in the operation of their departments, where X is the number of employees overseen by each information systems officer.
$$\begin{array} { | l | l | } \hline x & f \\\hline 1 & 7 \\\hline 2 & 5 \\\hline 3 & 11 \\\hline 4 & 8 \\\hline 5 & 9 \\\hline\end{array}$$

-Referring to Instruction 2.2,how many regional offices are represented in the survey results?

A) 11
B) 40
C) 15
D) 5

Answer 3

40

Question 4

Instruction 2.3
A survey was conducted to determine how people rated the quality of programming available on television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100 (extremely good quality). The stem-and-leaf display of the data is shown below.
$$\begin{array} { | l | l | } \hline \text { Stem } & \text { Lesves } \\\hline 3 & 24 \\\hline 4 & \begin{array} { l } 0347899 \\9\end{array} \\\hline 5 & 0112345 \\\hline 6 & 12566 \\\hline 7 & 01 \\\hline 8 & \\\hline 9 & 2 \\\hline\end{array}$$

-Referring to Instruction 2.3,what percentage of the respondents rated overall television quality with a rating of 50 or below?

A) 44
B) 56
C) 11
D) 40

Question 5

Instruction 2.1
An insurance company evaluates many numerical variables about a person before deciding on an appropriate rate for automobile insurance. A representative from a local insurance agency selected a random sample of insured drivers and recorded, X, the number of claims each made in the last three years, with the following results.
$$\begin{array} { | l | l | } \hline X & f \\\hline 1 & 14 \\\hline 2 & 18 \\\hline 3 & 12 \\\hline 4 & 5 \\\hline 5 & 1 \\\hline\end{array}$$

-Referring to Instruction 2.1,how many drivers are represented in the sample?

A) 18
B) 50
C) 5
D) 15

Question 6

You have collected information on the market share of five different search engines used by Australian Internet users in June 2012.Which of the following is the best for presenting the information?

A) A stem-and-leaf display.
B) A histogram.
C) A contingency table.
D) A pie chart.

Question 7

Instruction 2.4
The following are the durations in minutes of a sample of long-distance phone calls made within Australia reported by one long-distance carrier.
$$\begin{array} { | l | l | } \hline \text { Time (in Minutes) } & \text { Relative Frequency } \\\hline0 \text { but less than 5 } & 0.37 \\\hline 5 \text { but less than 10 } & 0.22 \\\hline \begin{array} { l } 10 \text { but less than } \\15\end{array} & 0.15 \\\hline \begin{array} { l } 15 \text { but less than } \\20\end{array} & 0.10 \\\hline \begin{array} { l } 20 \text { but less than } \\25\end{array} & 0.07 \\\hline \begin{array} { l } 25 \text { but less than } \\30\end{array} & 0.07 \\\hline 30 \text { or more } & 0.02 \\\hline\end{array}$$

-Referring to Instruction 2.4,if 1,000 calls were randomly sampled,how many calls lasted under 10 minutes?

A) 590
B) 370
C) 410
D) 220

Question 8

Instruction 2.2
At a meeting of information systems officers for regional offices of a national company, a survey was taken to determine the number of employees the officers supervise in the operation of their departments, where X is the number of employees overseen by each information systems officer.
$$\begin{array} { | l | l | } \hline x & f \\\hline 1 & 7 \\\hline 2 & 5 \\\hline 3 & 11 \\\hline 4 & 8 \\\hline 5 & 9 \\\hline\end{array}$$

-Referring to Instruction 2.2,across all of the regional offices,how many total employees were supervised by those surveyed?

A) 40
B) 200
C) 127
D) 15

Question 9

A bar chart cannot have gaps between the bars,but a histogram can have gaps between the bars.

Question 10

A professor of economics at a Tasmanian university wanted to determine which students were taking his tough economics course.Shown below is a pie chart of the results.What percentage of the class took the course prior to reaching their honours year?

A) 86%
B) 14%
C) 54%
D) 44%

Question 11

Instruction 2.4
The following are the durations in minutes of a sample of long-distance phone calls made within Australia reported by one long-distance carrier.
$$\begin{array} { | l | l | } \hline \text { Time (in Minutes) } & \text { Relative Frequency } \\\hline0 \text { but less than 5 } & 0.37 \\\hline 5 \text { but less than 10 } & 0.22 \\\hline \begin{array} { l } 10 \text { but less than } \\15\end{array} & 0.15 \\\hline \begin{array} { l } 15 \text { but less than } \\20\end{array} & 0.10 \\\hline \begin{array} { l } 20 \text { but less than } \\25\end{array} & 0.07 \\\hline \begin{array} { l } 25 \text { but less than } \\30\end{array} & 0.07 \\\hline 30 \text { or more } & 0.02 \\\hline\end{array}$$

-Referring to Instruction 2.4,what is the width of each class?

A) 5 minutes
B) 100%
C) 2%
D) 1 minute

Question 12

Facebook collected information on the age of their users.The youngest user was 13 and the oldest was 96.To study the distribution of the age among its users,it is best to use a pie chart.

Question 13

Histograms are used for numerical data while bar charts are suitable for categorical data.

Question 14

One of the advantages of a pie chart is that it clearly shows that the total of all the categories of the pie adds to 100%.

Question 15

Instruction 2.3
A survey was conducted to determine how people rated the quality of programming available on television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100 (extremely good quality). The stem-and-leaf display of the data is shown below.
$$\begin{array} { | l | l | } \hline \text { Stem } & \text { Lesves } \\\hline 3 & 24 \\\hline 4 & \begin{array} { l } 0347899 \\9\end{array} \\\hline 5 & 0112345 \\\hline 6 & 12566 \\\hline 7 & 01 \\\hline 8 & \\\hline 9 & 2 \\\hline\end{array}$$

-Referring to Instruction 2.3,what percentage of the respondents rated overall television quality with a rating between 50 and 75 (inclusive)?

A) 40
B) 44
C) 11
D) 56

Question 16

Research on human perception concludes that the bar chart is preferred to the pie chart,because the human eye can more accurately judge length comparisons against a fixed scale (as in a bar chart)than angular measures (as in a pie chart).

Question 17

Instruction 2.1
An insurance company evaluates many numerical variables about a person before deciding on an appropriate rate for automobile insurance. A representative from a local insurance agency selected a random sample of insured drivers and recorded, X, the number of claims each made in the last three years, with the following results.
$$\begin{array} { | l | l | } \hline X & f \\\hline 1 & 14 \\\hline 2 & 18 \\\hline 3 & 12 \\\hline 4 & 5 \\\hline 5 & 1 \\\hline\end{array}$$

-Referring to Instruction 2.1,how many total claims are represented in the sample?

A) 15
B) 111
C) 50
D) 250

Question 18

Instruction 2.1
An insurance company evaluates many numerical variables about a person before deciding on an appropriate rate for automobile insurance. A representative from a local insurance agency selected a random sample of insured drivers and recorded, X, the number of claims each made in the last three years, with the following results.
$$\begin{array} { | l | l | } \hline X & f \\\hline 1 & 14 \\\hline 2 & 18 \\\hline 3 & 12 \\\hline 4 & 5 \\\hline 5 & 1 \\\hline\end{array}$$

-The length of each bar in a bar chart represents the

A) mid-point of observations in each class.
B) average number of observations in each class.
C) proportion, frequency or percentage of observations in each class.
D) variances of observations in each class.

Question 19

Instruction 2.3
A survey was conducted to determine how people rated the quality of programming available on television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100 (extremely good quality). The stem-and-leaf display of the data is shown below.
$$\begin{array} { | l | l | } \hline \text { Stem } & \text { Lesves } \\\hline 3 & 24 \\\hline 4 & \begin{array} { l } 0347899 \\9\end{array} \\\hline 5 & 0112345 \\\hline 6 & 12566 \\\hline 7 & 01 \\\hline 8 & \\\hline 9 & 2 \\\hline\end{array}$$

-Referring to Instruction 2.3,what percentage of the respondents rated overall television quality with a rating of 80 or above?

A) 96
B) 100
C) 0
D) 4

Question 20

Instruction 2.4
The following are the durations in minutes of a sample of long-distance phone calls made within Australia reported by one long-distance carrier.
$$\begin{array} { | l | l | } \hline \text { Time (in Minutes) } & \text { Relative Frequency } \\\hline0 \text { but less than 5 } & 0.37 \\\hline 5 \text { but less than 10 } & 0.22 \\\hline \begin{array} { l } 10 \text { but less than } \\15\end{array} & 0.15 \\\hline \begin{array} { l } 15 \text { but less than } \\20\end{array} & 0.10 \\\hline \begin{array} { l } 20 \text { but less than } \\25\end{array} & 0.07 \\\hline \begin{array} { l } 25 \text { but less than } \\30\end{array} & 0.07 \\\hline 30 \text { or more } & 0.02 \\\hline\end{array}$$

-Referring to Instruction 2.4,if 100 calls were randomly sampled,how many calls lasted 15 minutes or longer?

A) 74
B) 14
C) 10
D) 26

Question 21

Instruction 2.5
The Stem-and-Leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in the Supreme Court of Victoria.
$$\begin{array} { | l | l | } \hline \text { Stem } & \text { Leaves } \\\hline 1 \mathrm {~L} & 23444 \\\hline 1 \mathrm { H } & 7899 \\\hline 2 \mathrm {~L} & 2222345 \\& 5 \\\hline 2 \mathrm { H } & 678889 \\\hline 3 \mathrm {~L} & 001113 \\\hline 3 \mathrm { H } & 5778 \\\hline 4 \mathrm {~L} & 0234 \\\hline 4 \mathrm { H } & 5579 \\\hline 5 \mathrm {~L} & 1124 \\\hline 5 \mathrm { H } & 66 \\\hline 6 \mathrm {~L} & 15 \\\hline 6 \mathrm { H } & 8 \\\hline\end{array}$$ Note: 1L means the 'low teens' - 10, 11, 12, 13, or 14; 1H means the 'high teens' - 15, 16, 17, 18, or 19; 2L means the 'low twenties' - 20, 21, 22, 23, or 24, etc.

-Referring to Instruction 2.5,if a frequency distribution with equal-sized classes was made from this data,and the first class was '10 but less than 20',the relative frequency of the third class would be _________.

Question 22

Data on the number of credit hours of 20,000 students at a public university enrolled in the first semester were collected.Which of the following is the best for presenting the information?

A) A contingency table.
B) A pie chart.
C) A stem-and-leaf display.
D) A Pareto chart.

Question 23

Instruction 2.5
The Stem-and-Leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in the Supreme Court of Victoria.
$$\begin{array} { | l | l | } \hline \text { Stem } & \text { Leaves } \\\hline 1 \mathrm {~L} & 23444 \\\hline 1 \mathrm { H } & 7899 \\\hline 2 \mathrm {~L} & 2222345 \\& 5 \\\hline 2 \mathrm { H } & 678889 \\\hline 3 \mathrm {~L} & 001113 \\\hline 3 \mathrm { H } & 5778 \\\hline 4 \mathrm {~L} & 0234 \\\hline 4 \mathrm { H } & 5579 \\\hline 5 \mathrm {~L} & 1124 \\\hline 5 \mathrm { H } & 66 \\\hline 6 \mathrm {~L} & 15 \\\hline 6 \mathrm { H } & 8 \\\hline\end{array}$$ Note: 1L means the 'low teens' - 10, 11, 12, 13, or 14; 1H means the 'high teens' - 15, 16, 17, 18, or 19; 2L means the 'low twenties' - 20, 21, 22, 23, or 24, etc.

-Referring to Instruction 2.5,_________ % of the cases were adjudicated within the first two years.

Question 24

Instruction 2.4
The following are the durations in minutes of a sample of long-distance phone calls made within Australia reported by one long-distance carrier.
$$\begin{array} { | l | l | } \hline \text { Time (in Minutes) } & \text { Relative Frequency } \\\hline0 \text { but less than 5 } & 0.37 \\\hline 5 \text { but less than 10 } & 0.22 \\\hline \begin{array} { l } 10 \text { but less than } \\15\end{array} & 0.15 \\\hline \begin{array} { l } 15 \text { but less than } \\20\end{array} & 0.10 \\\hline \begin{array} { l } 20 \text { but less than } \\25\end{array} & 0.07 \\\hline \begin{array} { l } 25 \text { but less than } \\30\end{array} & 0.07 \\\hline 30 \text { or more } & 0.02 \\\hline\end{array}$$

-Referring to Instruction 2.4,what is the cumulative relative frequency for the percentage of calls that lasted 10 minutes or more?

A) 0.24
B) 0.41
C) 0.90
D) 0.16

Question 25

Instruction 2.4
The following are the durations in minutes of a sample of long-distance phone calls made within Australia reported by one long-distance carrier.
$$\begin{array} { | l | l | } \hline \text { Time (in Minutes) } & \text { Relative Frequency } \\\hline0 \text { but less than 5 } & 0.37 \\\hline 5 \text { but less than 10 } & 0.22 \\\hline \begin{array} { l } 10 \text { but less than } \\15\end{array} & 0.15 \\\hline \begin{array} { l } 15 \text { but less than } \\20\end{array} & 0.10 \\\hline \begin{array} { l } 20 \text { but less than } \\25\end{array} & 0.07 \\\hline \begin{array} { l } 25 \text { but less than } \\30\end{array} & 0.07 \\\hline 30 \text { or more } & 0.02 \\\hline\end{array}$$

-Referring to Instruction 2.4,what is the cumulative relative frequency for the percentage of calls that lasted under 20 minutes?

A) 0.59
B) 0.10
C) 0.84
D) 0.76

Question 26

Instruction 2.5
The Stem-and-Leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in the Supreme Court of Victoria.
$$\begin{array} { | l | l | } \hline \text { Stem } & \text { Leaves } \\\hline 1 \mathrm {~L} & 23444 \\\hline 1 \mathrm { H } & 7899 \\\hline 2 \mathrm {~L} & 2222345 \\& 5 \\\hline 2 \mathrm { H } & 678889 \\\hline 3 \mathrm {~L} & 001113 \\\hline 3 \mathrm { H } & 5778 \\\hline 4 \mathrm {~L} & 0234 \\\hline 4 \mathrm { H } & 5579 \\\hline 5 \mathrm {~L} & 1124 \\\hline 5 \mathrm { H } & 66 \\\hline 6 \mathrm {~L} & 15 \\\hline 6 \mathrm { H } & 8 \\\hline\end{array}$$ Note: 1L means the 'low teens' - 10, 11, 12, 13, or 14; 1H means the 'high teens' - 15, 16, 17, 18, or 19; 2L means the 'low twenties' - 20, 21, 22, 23, or 24, etc.

-Referring to Instruction 2.5,the civil suit with the fourth shortest waiting time between when the suit was filed and when it was adjudicated had a wait of _________ months.

Question 27

Instruction 2.5
The Stem-and-Leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in the Supreme Court of Victoria.
$$\begin{array} { | l | l | } \hline \text { Stem } & \text { Leaves } \\\hline 1 \mathrm {~L} & 23444 \\\hline 1 \mathrm { H } & 7899 \\\hline 2 \mathrm {~L} & 2222345 \\& 5 \\\hline 2 \mathrm { H } & 678889 \\\hline 3 \mathrm {~L} & 001113 \\\hline 3 \mathrm { H } & 5778 \\\hline 4 \mathrm {~L} & 0234 \\\hline 4 \mathrm { H } & 5579 \\\hline 5 \mathrm {~L} & 1124 \\\hline 5 \mathrm { H } & 66 \\\hline 6 \mathrm {~L} & 15 \\\hline 6 \mathrm { H } & 8 \\\hline\end{array}$$ Note: 1L means the 'low teens' - 10, 11, 12, 13, or 14; 1H means the 'high teens' - 15, 16, 17, 18, or 19; 2L means the 'low twenties' - 20, 21, 22, 23, or 24, etc.

-Referring to Instruction 2.5,if a frequency distribution with equal-sized classes was made from this data,and the first class was '0 but less than 10',the class mid-point of the third class would be _________.

Question 28

Instruction 2.4
The following are the durations in minutes of a sample of long-distance phone calls made within Australia reported by one long-distance carrier.
$$\begin{array} { | l | l | } \hline \text { Time (in Minutes) } & \text { Relative Frequency } \\\hline0 \text { but less than 5 } & 0.37 \\\hline 5 \text { but less than 10 } & 0.22 \\\hline \begin{array} { l } 10 \text { but less than } \\15\end{array} & 0.15 \\\hline \begin{array} { l } 15 \text { but less than } \\20\end{array} & 0.10 \\\hline \begin{array} { l } 20 \text { but less than } \\25\end{array} & 0.07 \\\hline \begin{array} { l } 25 \text { but less than } \\30\end{array} & 0.07 \\\hline 30 \text { or more } & 0.02 \\\hline\end{array}$$

-Referring to Instruction 2.4,if 100 calls were randomly sampled,_________of them would have lasted at least 15 minutes but less than 20 minutes.

A) 0.16
B) 10
C) 0.10
D) 16

Question 29

Instruction 2.5
The Stem-and-Leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in the Supreme Court of Victoria.
$$\begin{array} { | l | l | } \hline \text { Stem } & \text { Leaves } \\\hline 1 \mathrm {~L} & 23444 \\\hline 1 \mathrm { H } & 7899 \\\hline 2 \mathrm {~L} & 2222345 \\& 5 \\\hline 2 \mathrm { H } & 678889 \\\hline 3 \mathrm {~L} & 001113 \\\hline 3 \mathrm { H } & 5778 \\\hline 4 \mathrm {~L} & 0234 \\\hline 4 \mathrm { H } & 5579 \\\hline 5 \mathrm {~L} & 1124 \\\hline 5 \mathrm { H } & 66 \\\hline 6 \mathrm {~L} & 15 \\\hline 6 \mathrm { H } & 8 \\\hline\end{array}$$ Note: 1L means the 'low teens' - 10, 11, 12, 13, or 14; 1H means the 'high teens' - 15, 16, 17, 18, or 19; 2L means the 'low twenties' - 20, 21, 22, 23, or 24, etc.

-Referring to Instruction 2.5,_________ % of the cases were not adjudicated within the first four years.

Question 30

Instruction 2.5
The Stem-and-Leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in the Supreme Court of Victoria.
$$\begin{array} { | l | l | } \hline \text { Stem } & \text { Leaves } \\\hline 1 \mathrm {~L} & 23444 \\\hline 1 \mathrm { H } & 7899 \\\hline 2 \mathrm {~L} & 2222345 \\& 5 \\\hline 2 \mathrm { H } & 678889 \\\hline 3 \mathrm {~L} & 001113 \\\hline 3 \mathrm { H } & 5778 \\\hline 4 \mathrm {~L} & 0234 \\\hline 4 \mathrm { H } & 5579 \\\hline 5 \mathrm {~L} & 1124 \\\hline 5 \mathrm { H } & 66 \\\hline 6 \mathrm {~L} & 15 \\\hline 6 \mathrm { H } & 8 \\\hline\end{array}$$ Note: 1L means the 'low teens' - 10, 11, 12, 13, or 14; 1H means the 'high teens' - 15, 16, 17, 18, or 19; 2L means the 'low twenties' - 20, 21, 22, 23, or 24, etc.

-Referring to Instruction 2.5,the person who has the largest leaf associated with the smallest stem visited the facility_________ times.

Question 31

Instruction 2.5
The Stem-and-Leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in the Supreme Court of Victoria.
$$\begin{array} { | l | l | } \hline \text { Stem } & \text { Leaves } \\\hline 1 \mathrm {~L} & 23444 \\\hline 1 \mathrm { H } & 7899 \\\hline 2 \mathrm {~L} & 2222345 \\& 5 \\\hline 2 \mathrm { H } & 678889 \\\hline 3 \mathrm {~L} & 001113 \\\hline 3 \mathrm { H } & 5778 \\\hline 4 \mathrm {~L} & 0234 \\\hline 4 \mathrm { H } & 5579 \\\hline 5 \mathrm {~L} & 1124 \\\hline 5 \mathrm { H } & 66 \\\hline 6 \mathrm {~L} & 15 \\\hline 6 \mathrm { H } & 8 \\\hline\end{array}$$ Note: 1L means the 'low teens' - 10, 11, 12, 13, or 14; 1H means the 'high teens' - 15, 16, 17, 18, or 19; 2L means the 'low twenties' - 20, 21, 22, 23, or 24, etc.

-Referring to Instruction 2.5,if a frequency distribution with equal-sized classes was made from this data,and the first class was '10 but less than 20',the frequency of that class would be_________.

Question 32

Instruction 2.4
The following are the durations in minutes of a sample of long-distance phone calls made within Australia reported by one long-distance carrier.
$$\begin{array} { | l | l | } \hline \text { Time (in Minutes) } & \text { Relative Frequency } \\\hline0 \text { but less than 5 } & 0.37 \\\hline 5 \text { but less than 10 } & 0.22 \\\hline \begin{array} { l } 10 \text { but less than } \\15\end{array} & 0.15 \\\hline \begin{array} { l } 15 \text { but less than } \\20\end{array} & 0.10 \\\hline \begin{array} { l } 20 \text { but less than } \\25\end{array} & 0.07 \\\hline \begin{array} { l } 25 \text { but less than } \\30\end{array} & 0.07 \\\hline 30 \text { or more } & 0.02 \\\hline\end{array}$$

-Referring to Instruction 2.4,if 100 calls were sampled,_________ of them would have lasted less than 5 minutes or at least 30 minutes or more.

A) 39
B) 35
C) 37
D) None of the above.

Question 33

Instruction 2.4
The following are the durations in minutes of a sample of long-distance phone calls made within Australia reported by one long-distance carrier.
$$\begin{array} { | l | l | } \hline \text { Time (in Minutes) } & \text { Relative Frequency } \\\hline0 \text { but less than 5 } & 0.37 \\\hline 5 \text { but less than 10 } & 0.22 \\\hline \begin{array} { l } 10 \text { but less than } \\15\end{array} & 0.15 \\\hline \begin{array} { l } 15 \text { but less than } \\20\end{array} & 0.10 \\\hline \begin{array} { l } 20 \text { but less than } \\25\end{array} & 0.07 \\\hline \begin{array} { l } 25 \text { but less than } \\30\end{array} & 0.07 \\\hline 30 \text { or more } & 0.02 \\\hline\end{array}$$

-Referring to Instruction 2.4,if 10 calls lasted 30 minutes or more,how many calls lasted less than 5 minutes?

A) 10
B) 185
C) 500
D) 295

Question 34

Instruction 2.5
The Stem-and-Leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in the Supreme Court of Victoria.
$$\begin{array} { | l | l | } \hline \text { Stem } & \text { Leaves } \\\hline 1 \mathrm {~L} & 23444 \\\hline 1 \mathrm { H } & 7899 \\\hline 2 \mathrm {~L} & 2222345 \\& 5 \\\hline 2 \mathrm { H } & 678889 \\\hline 3 \mathrm {~L} & 001113 \\\hline 3 \mathrm { H } & 5778 \\\hline 4 \mathrm {~L} & 0234 \\\hline 4 \mathrm { H } & 5579 \\\hline 5 \mathrm {~L} & 1124 \\\hline 5 \mathrm { H } & 66 \\\hline 6 \mathrm {~L} & 15 \\\hline 6 \mathrm { H } & 8 \\\hline\end{array}$$ Note: 1L means the 'low teens' - 10, 11, 12, 13, or 14; 1H means the 'high teens' - 15, 16, 17, 18, or 19; 2L means the 'low twenties' - 20, 21, 22, 23, or 24, etc.

-Referring to Instruction 2.5,the civil suit with the longest wait between when the suit was filed and when it was adjudicated had a wait of _________months.

Question 35

Instruction 2.5
The Stem-and-Leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in the Supreme Court of Victoria.
$$\begin{array} { | l | l | } \hline \text { Stem } & \text { Leaves } \\\hline 1 \mathrm {~L} & 23444 \\\hline 1 \mathrm { H } & 7899 \\\hline 2 \mathrm {~L} & 2222345 \\& 5 \\\hline 2 \mathrm { H } & 678889 \\\hline 3 \mathrm {~L} & 001113 \\\hline 3 \mathrm { H } & 5778 \\\hline 4 \mathrm {~L} & 0234 \\\hline 4 \mathrm { H } & 5579 \\\hline 5 \mathrm {~L} & 1124 \\\hline 5 \mathrm { H } & 66 \\\hline 6 \mathrm {~L} & 15 \\\hline 6 \mathrm { H } & 8 \\\hline\end{array}$$ Note: 1L means the 'low teens' - 10, 11, 12, 13, or 14; 1H means the 'high teens' - 15, 16, 17, 18, or 19; 2L means the 'low twenties' - 20, 21, 22, 23, or 24, etc.

-Referring to Instruction 2.5,if a frequency distribution with equal-sized classes was made from this data,and the first class was '10 but less than 20',the cumulative percentage of the second class would be _________.

Question 36

Instruction 2.4
The following are the durations in minutes of a sample of long-distance phone calls made within Australia reported by one long-distance carrier.
$$\begin{array} { | l | l | } \hline \text { Time (in Minutes) } & \text { Relative Frequency } \\\hline0 \text { but less than 5 } & 0.37 \\\hline 5 \text { but less than 10 } & 0.22 \\\hline \begin{array} { l } 10 \text { but less than } \\15\end{array} & 0.15 \\\hline \begin{array} { l } 15 \text { but less than } \\20\end{array} & 0.10 \\\hline \begin{array} { l } 20 \text { but less than } \\25\end{array} & 0.07 \\\hline \begin{array} { l } 25 \text { but less than } \\30\end{array} & 0.07 \\\hline 30 \text { or more } & 0.02 \\\hline\end{array}$$

-Referring to Instruction 2.4,if 100 calls were sampled,_________ of them would have lasted less than 15 minutes.

A) 10
B) 26
C) 74 None of the above.

Question 37

The stem-and-leaf display is often superior to the frequency distribution in that it maintains the original values for further analysis.

Question 38

Instruction 2.4
The following are the durations in minutes of a sample of long-distance phone calls made within Australia reported by one long-distance carrier.
$$\begin{array} { | l | l | } \hline \text { Time (in Minutes) } & \text { Relative Frequency } \\\hline0 \text { but less than 5 } & 0.37 \\\hline 5 \text { but less than 10 } & 0.22 \\\hline \begin{array} { l } 10 \text { but less than } \\15\end{array} & 0.15 \\\hline \begin{array} { l } 15 \text { but less than } \\20\end{array} & 0.10 \\\hline \begin{array} { l } 20 \text { but less than } \\25\end{array} & 0.07 \\\hline \begin{array} { l } 25 \text { but less than } \\30\end{array} & 0.07 \\\hline 30 \text { or more } & 0.02 \\\hline\end{array}$$

-Referring to Instruction 2.4,if 100 calls were sampled,_________ of them would have lasted 20 minutes or more.

A) 26
B) 74
C) 16
D) None of the above.

Question 39

Instruction 2.5
The Stem-and-Leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in the Supreme Court of Victoria.
$$\begin{array} { | l | l | } \hline \text { Stem } & \text { Leaves } \\\hline 1 \mathrm {~L} & 23444 \\\hline 1 \mathrm { H } & 7899 \\\hline 2 \mathrm {~L} & 2222345 \\& 5 \\\hline 2 \mathrm { H } & 678889 \\\hline 3 \mathrm {~L} & 001113 \\\hline 3 \mathrm { H } & 5778 \\\hline 4 \mathrm {~L} & 0234 \\\hline 4 \mathrm { H } & 5579 \\\hline 5 \mathrm {~L} & 1124 \\\hline 5 \mathrm { H } & 66 \\\hline 6 \mathrm {~L} & 15 \\\hline 6 \mathrm { H } & 8 \\\hline\end{array}$$ Note: 1L means the 'low teens' - 10, 11, 12, 13, or 14; 1H means the 'high teens' - 15, 16, 17, 18, or 19; 2L means the 'low twenties' - 20, 21, 22, 23, or 24, etc.

-Referring to Instruction 2.5,the person who visited the health club less than anyone else in the sample visited the facility _________ times.

Question 40

Instruction 2.5
The Stem-and-Leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in the Supreme Court of Victoria.
$$\begin{array} { | l | l | } \hline \text { Stem } & \text { Leaves } \\\hline 1 \mathrm {~L} & 23444 \\\hline 1 \mathrm { H } & 7899 \\\hline 2 \mathrm {~L} & 2222345 \\& 5 \\\hline 2 \mathrm { H } & 678889 \\\hline 3 \mathrm {~L} & 001113 \\\hline 3 \mathrm { H } & 5778 \\\hline 4 \mathrm {~L} & 0234 \\\hline 4 \mathrm { H } & 5579 \\\hline 5 \mathrm {~L} & 1124 \\\hline 5 \mathrm { H } & 66 \\\hline 6 \mathrm {~L} & 15 \\\hline 6 \mathrm { H } & 8 \\\hline\end{array}$$ Note: 1L means the 'low teens' - 10, 11, 12, 13, or 14; 1H means the 'high teens' - 15, 16, 17, 18, or 19; 2L means the 'low twenties' - 20, 21, 22, 23, or 24, etc.

-Referring to Instruction 2.5,locate the first leaf -that is,the lowest valued leaf with the lowest valued stem.This represents a wait of _________ months.

Question 41

Instruction 2.5
The Stem-and-Leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in the Supreme Court of Victoria.
$$\begin{array} { | l | l | } \hline \text { Stem } & \text { Leaves } \\\hline 1 \mathrm {~L} & 23444 \\\hline 1 \mathrm { H } & 7899 \\\hline 2 \mathrm {~L} & 2222345 \\& 5 \\\hline 2 \mathrm { H } & 678889 \\\hline 3 \mathrm {~L} & 001113 \\\hline 3 \mathrm { H } & 5778 \\\hline 4 \mathrm {~L} & 0234 \\\hline 4 \mathrm { H } & 5579 \\\hline 5 \mathrm {~L} & 1124 \\\hline 5 \mathrm { H } & 66 \\\hline 6 \mathrm {~L} & 15 \\\hline 6 \mathrm { H } & 8 \\\hline\end{array}$$ Note: 1L means the 'low teens' - 10, 11, 12, 13, or 14; 1H means the 'high teens' - 15, 16, 17, 18, or 19; 2L means the 'low twenties' - 20, 21, 22, 23, or 24, etc.

-Referring to Instruction 2.5,_________of the 100 members visited the health club no more than 12 times in a year.

Question 42

A research analyst was directed to arrange raw data collected on the yield of wheat,ranging from 1 to 5 tonnes per hectare,in a frequency distribution.He should choose 2 as the class interval width.

Question 43

The relative frequency is the frequency in each class divided by the total number of observations.

Question 44

The larger the number of observations in a numerical data set,the larger the number of class intervals needed for a grouped frequency distribution.

Question 45

In general,grouped frequency distributions should have between 1 and 5 class intervals.

Question 46

Instruction 2.5
The Stem-and-Leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in the Supreme Court of Victoria.
$$\begin{array} { | l | l | } \hline \text { Stem } & \text { Leaves } \\\hline 1 \mathrm {~L} & 23444 \\\hline 1 \mathrm { H } & 7899 \\\hline 2 \mathrm {~L} & 2222345 \\& 5 \\\hline 2 \mathrm { H } & 678889 \\\hline 3 \mathrm {~L} & 001113 \\\hline 3 \mathrm { H } & 5778 \\\hline 4 \mathrm {~L} & 0234 \\\hline 4 \mathrm { H } & 5579 \\\hline 5 \mathrm {~L} & 1124 \\\hline 5 \mathrm { H } & 66 \\\hline 6 \mathrm {~L} & 15 \\\hline 6 \mathrm { H } & 8 \\\hline\end{array}$$ Note: 1L means the 'low teens' - 10, 11, 12, 13, or 14; 1H means the 'high teens' - 15, 16, 17, 18, or 19; 2L means the 'low twenties' - 20, 21, 22, 23, or 24, etc.

-Referring to Instruction 2.5,the person who visited the health club more than anyone else in the sample visited the facility _________ times.

Question 47

Percentage polygons are plotted at the boundaries of the class groupings.

Question 48

Instruction 2.5
The Stem-and-Leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in the Supreme Court of Victoria.
$$\begin{array} { | l | l | } \hline \text { Stem } & \text { Leaves } \\\hline 1 \mathrm {~L} & 23444 \\\hline 1 \mathrm { H } & 7899 \\\hline 2 \mathrm {~L} & 2222345 \\& 5 \\\hline 2 \mathrm { H } & 678889 \\\hline 3 \mathrm {~L} & 001113 \\\hline 3 \mathrm { H } & 5778 \\\hline 4 \mathrm {~L} & 0234 \\\hline 4 \mathrm { H } & 5579 \\\hline 5 \mathrm {~L} & 1124 \\\hline 5 \mathrm { H } & 66 \\\hline 6 \mathrm {~L} & 15 \\\hline 6 \mathrm { H } & 8 \\\hline\end{array}$$ Note: 1L means the 'low teens' - 10, 11, 12, 13, or 14; 1H means the 'high teens' - 15, 16, 17, 18, or 19; 2L means the 'low twenties' - 20, 21, 22, 23, or 24, etc.

-Referring to Instruction 2.5,if a frequency distribution with equal-sized classes was made from this data,and the first class was '0 but less than 10',the relative frequency of the last class would be _________.

Question 49

The original data values cannot be assessed once they are grouped into a frequency distribution table.

Question 50

Instruction 2.5
The Stem-and-Leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in the Supreme Court of Victoria.
$$\begin{array} { | l | l | } \hline \text { Stem } & \text { Leaves } \\\hline 1 \mathrm {~L} & 23444 \\\hline 1 \mathrm { H } & 7899 \\\hline 2 \mathrm {~L} & 2222345 \\& 5 \\\hline 2 \mathrm { H } & 678889 \\\hline 3 \mathrm {~L} & 001113 \\\hline 3 \mathrm { H } & 5778 \\\hline 4 \mathrm {~L} & 0234 \\\hline 4 \mathrm { H } & 5579 \\\hline 5 \mathrm {~L} & 1124 \\\hline 5 \mathrm { H } & 66 \\\hline 6 \mathrm {~L} & 15 \\\hline 6 \mathrm { H } & 8 \\\hline\end{array}$$ Note: 1L means the 'low teens' - 10, 11, 12, 13, or 14; 1H means the 'high teens' - 15, 16, 17, 18, or 19; 2L means the 'low twenties' - 20, 21, 22, 23, or 24, etc.

-Referring to Instruction 2.5,if a frequency distribution with equal-sized classes was made from this data,and the first class was '0 but less than 10',the cumulative percentage of the next-to-last class would be _________.

Question 51

The sum of relative frequencies in a distribution always equals 1.

Question 52

Instruction 2.5
The Stem-and-Leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in the Supreme Court of Victoria.
$$\begin{array} { | l | l | } \hline \text { Stem } & \text { Leaves } \\\hline 1 \mathrm {~L} & 23444 \\\hline 1 \mathrm { H } & 7899 \\\hline 2 \mathrm {~L} & 2222345 \\& 5 \\\hline 2 \mathrm { H } & 678889 \\\hline 3 \mathrm {~L} & 001113 \\\hline 3 \mathrm { H } & 5778 \\\hline 4 \mathrm {~L} & 0234 \\\hline 4 \mathrm { H } & 5579 \\\hline 5 \mathrm {~L} & 1124 \\\hline 5 \mathrm { H } & 66 \\\hline 6 \mathrm {~L} & 15 \\\hline 6 \mathrm { H } & 8 \\\hline\end{array}$$ Note: 1L means the 'low teens' - 10, 11, 12, 13, or 14; 1H means the 'high teens' - 15, 16, 17, 18, or 19; 2L means the 'low twenties' - 20, 21, 22, 23, or 24, etc.

-Referring to Instruction 2.5,if a frequency distribution with equal-sized classes was made from this data,and the first class was '0 but less than 10',the frequency of the fifth class would be _________.

Question 53

The sum of cumulative frequencies in a distribution always equals 1.

Question 54

When comparing two or more samples with different sample sizes,a relative frequency distribution or a percentage distribution should be used.

Question 55

When constructing a frequency distribution,classes should be selected in such a way that they are of equal width.

Question 56

Determining the class boundaries of a frequency distribution is highly subjective.

Question 57

The percentage distribution cannot be constructed from the frequency distribution directly.

Question 58

If the values of the seventh and eighth class in a cumulative frequency distribution are the same,we know that there are no observations in the eighth class.

Question 59

Instruction 2.5
The Stem-and-Leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in the Supreme Court of Victoria.
$$\begin{array} { | l | l | } \hline \text { Stem } & \text { Leaves } \\\hline 1 \mathrm {~L} & 23444 \\\hline 1 \mathrm { H } & 7899 \\\hline 2 \mathrm {~L} & 2222345 \\& 5 \\\hline 2 \mathrm { H } & 678889 \\\hline 3 \mathrm {~L} & 001113 \\\hline 3 \mathrm { H } & 5778 \\\hline 4 \mathrm {~L} & 0234 \\\hline 4 \mathrm { H } & 5579 \\\hline 5 \mathrm {~L} & 1124 \\\hline 5 \mathrm { H } & 66 \\\hline 6 \mathrm {~L} & 15 \\\hline 6 \mathrm { H } & 8 \\\hline\end{array}$$ Note: 1L means the 'low teens' - 10, 11, 12, 13, or 14; 1H means the 'high teens' - 15, 16, 17, 18, or 19; 2L means the 'low twenties' - 20, 21, 22, 23, or 24, etc.

-Referring to Instruction 2.5,_________of the 100 members visited the health club at least 52 times in a year.

Question 60

Ogives are plotted at the mid-points of the class groupings.

Question 61

Data on 1,500 students' weight were collected at a university in Melbourne,Victoria.Which of the following is the best chart for presenting the information?

A) A pie chart.
B) A Pareto chart.
C) A histogram.
D) A side-by-side bar chart.

Question 62

When constructing charts,the following is plotted at the class mid-points.

A) Percentage polygons.
B) Cumulative relative frequency ogives.
C) Frequency histograms.
D) All of the above.

Question 63

The width of each bar in a histogram corresponds to the

A) percentage of observations in each class.
B) mid-point of each class.
C) number of observations in each class.
D) differences between the boundaries of the class.

Question 64

Data on the number of part-time hours students at a public university worked in a week were collected.Which of the following is the best chart for presenting the information?

A) A percentage table.
B) A percentage polygon.
C) A Pareto chart.
D) A pie chart.

Question 65

Figure 2.1
Every second semester, the School of Business at a large university coordinates with local business leaders at a luncheon for graduating students, their families, and friends. Corporate sponsorship pays for the lunches of each of the graduating students, but students have to purchase tickets to cover the cost of lunches served to guests they bring with them. The following histogram represents the attendance at the luncheon, where X is the number of guests each graduating student invited to the luncheon and f is the number of graduating students in each category.
Referring to the histogram from Figure 2.1,how many graduating students attended the luncheon?

A) 388
B) 275
C) 4
D) 152

Question 66

Figure 2.2
The histogram below represents scores achieved by 200 job applicants on a personality profile.

-Referring to the histogram from Figure 2.2,_________% of the job applicants scored between 10 and 20.

Question 67

When polygons or histograms are constructed,which axis must show the true zero or 'origin'?

A) The vertical axis.
B) The horizontal axis.
C) Both the horizontal and vertical axes.
D) Neither the horizontal nor the vertical axis.

Question 68

To determine the width of class interval,divide the number of class groups by the range of the data.

Question 69

When constructing polygons or histograms,the horizontal axis must specify the true zero or 'origin' point so as not to distort the character of the data.

Question 70

An ogive is a cumulative percentage polygon.

Question 71

A good choice for the number of class groups to use in constructing frequency distribution is to have at least 5 but no more than 15 class groups.

Question 72

Facebook collected information on the age of their users.The youngest user was 13 and the oldest was 96.To study the percentage of their users who are below a certain age,it can use an ogive.

Question 73

Figure 2.2
The histogram below represents scores achieved by 200 job applicants on a personality profile.

-Referring to the histogram from Figure 2.2,the number of job applicants who scored between 30 and below 60 is _________.

Question 74

If you wish to construct a graph of a relative frequency distribution,you would most likely construct an ogive first.

Question 75

Facebook collected information on the age of their users.The youngest user was 13 and the oldest was 96.To study the distribution of the age among its users,it can use a percentage polygon.

Question 76

A polygon can be constructed from a bar chart.

Question 77

The percentage polygon is formed by having the lower boundary of each class represent the data in that class and then connecting the sequence of lower boundaries at their respective class percentages.

Question 78

Figure 2.2
The histogram below represents scores achieved by 200 job applicants on a personality profile.

-Referring to the histogram from Figure 2.2,_________ %t of the job applicants scored below 50.

Question 79

In general,a frequency distribution should have at least eight class groups but no more than 20.

Question 80

Figure 2.1
Every second semester, the School of Business at a large university coordinates with local business leaders at a luncheon for graduating students, their families, and friends. Corporate sponsorship pays for the lunches of each of the graduating students, but students have to purchase tickets to cover the cost of lunches served to guests they bring with them. The following histogram represents the attendance at the luncheon, where X is the number of guests each graduating student invited to the luncheon and f is the number of graduating students in each category.
Referring to the histogram from Figure 2.1,if all the tickets purchased were used,how many guests attended the luncheon?

A) 275
B) 4
C) 152
D) 388