Question 1

Voters participating in a recent election exit poll in a Queensland electorate were asked to state their political party affiliation as well as their gender. Coding the data 1 for Coalition, 2 for minor parties and 3 for Labor, and F for female, M for male. $$\begin{array} { | l | l | l | l | l | l | l | l | l | } 
\hline 3 \mathrm { M } & 1 \mathrm {~F} & 2 \mathrm {~F} & 3 \mathrm { M } & 1 \mathrm {~F} & 3 \mathrm { M } & 3 \mathrm {~F} & 2 \mathrm {~F} & 1 \mathrm {~F} \
\hline 3 \mathrm {~F} & 3 \mathrm { M } & 2 \mathrm {~F} & 1 \mathrm { M } & 1 \mathrm { M } & 3 \mathrm { M } & 2 \mathrm {~F} & 3 \mathrm { M } & 1 \mathrm { M } \
\hline 3 \mathrm { M } & 2 \mathrm {~F} & 3 \mathrm {~F} & 2 \mathrm {~F} & 1 \mathrm {~F} & 1 \mathrm {~F} & 3 \mathrm { M } & & \
\hline
\end{array}$$ a. Create a cross classification table of gender by political affiliation.
b. Create a component bar chart, for each gender.
c. Interpret your component bar chart by gender.

Accepted Answer

a. $\begin{array}{l}
&\text { Gender }\
\text {Political affiliation }&\begin{array}{|l|r|r|r|}
\hline & \text { F } & \text { M } & {\text { Total }} \
\hline \text { Coalition } & 5 & 3 & 8 \
\hline \text { Minor } & 6 & 0 & 6 \
\hline \text { Labour } & 3 & 8 & 11 \
\hline & 14 & 11 & 25 \
\hline
\end{array}
\end{array}$ b.
Component bar chart of gender, separated into political affiliation.  c. In this sample, females have a greater spread of political affilation between labour, coalition and the minor parties, with the minor parties having a slight majority. Whereas, males in this sample had a higher political affilation with Labour and none with the minor parties.

Question 2

The wedges of a pie chart, if displayed as proportions, will sum to 1 or 100%.

Accepted Answer

This statement is true. The wedges of a pie chart represent proportions of a whole, and therefore their values will always sum to 100%.

Question 3

Which of the following best describes a component bar chart?
A)A component bar chart represents all categories within a single bar.
B)tioned The height of each component is proportional to the frequency of the category that it represents.
C)When Component bar charts may be used as a comparison of two or more breakdowns as an alternative to using two pie charts.
D)All of these choices are correct.

Accepted Answer

A component bar chart shows all categories within a single bar with the height of each component being proportional to the frequency of the category it represents. It can be used to compare two or more breakdowns as an alternative to using two pie charts.

Question 4

Which of the following best describes a bar chart?
A)A chart in which vertical bars represent data in different categories.
B)A circle subdivided into sectors representing data in different categories
C)A chart in which vertical bars of unequal widths are usually used.
D)A chart in which vertical bars usually have no gaps between them.

Accepted Answer

A bar chart is a graph in which vertical bars of equal width are used to represent data in different categories. The height of each bar indicates the value of the data in that category.

Question 5

Which of the following is a graphical technique used to present nominal (categorical) data?
A)Bar chart.
B)Pie chart.
C)A bar chart and/or a pie chart.
D)None of these choices are correct.

Accepted Answer

A bar chart and/or a pie chart are both graphical techniques commonly used to present nominal (categorical) data. Bar charts display data using rectangular bars, while pie charts use circular wedges to represent percentages or proportions of the data. Both charts are useful for quickly visualizing and comparing categorical data.

Question 6

A bar chart is a graphical display of a nominal (categorical) variable. The reason for the gaps between the bars is to emphasise that the bars can be placed in any order as the variable is categorical.

Accepted Answer

A bar chart is a graphical display of a categorical variable, where the bars represent the categories and are spaced apart to indicate that they are not continuous variables. The order of the bars does not matter as the variable is nominal.

Question 7

Which of the following statements is true?
A)All calculations are permitted on nominal (categorical) data.
B)A contingency table lists the counts of each combination of the values of the two variables.
C)Bivariate refers to the distribution of one variable.
D)A contingency table cannot be based on two nominal variables.

Accepted Answer

A contingency table lists the counts of each combination of the values of the two variables, which is true. Option A is incorrect as calculations such as mean and standard deviation are not permitted on nominal data as it does not have a meaningful numerical value. Option C is incorrect as bivariate refers to the analysis involving two variables. Option D is incorrect as a contingency table can be based on two nominal variables.

Question 8

Which of the following statements about pie charts is false?
A)Pie charts can only be used for nominal data.
B)Pie charts are usually used to display the relative sizes of categories for qualitative data.
C)Pie charts always have the shape of a circle.
D)The area of each slice of a pie chart is proportional to the relative frequency of the corresponding category.

Accepted Answer

Pie charts can be used for qualitative data, including ordinal and nominal data.

Question 9

Voters participating in a recent election exit poll in a Queensland electorate were asked to state their political party affiliation. Coding the data 1 for Coalition, 2 for minor parties and 3 for Labor, the data collected were as follows: $$\begin{array} { | l | l | l | l | l | l | l | l | l | } 
\hline 3 & 1 & 2 & 3 & 1 & 3 & 3 & 2 & 1 \
\hline 3 & 3 & 2 & 1 & 1 & 3 & 2 & 3 & 1 \
\hline 3 & 2 & 3 & 2 & 1 & 1 & 3 & & \
\hline
\end{array}$$ Create a bar chart to display the political party affiliation in the Queensland electorate. Write a short sentence to describe the political affiliation.

Accepted Answer

The answer of Voters participating in a recent election exit...

Question 10

Given the following five categories and the number of times each occurs, construct a pie chart and a bar chart. $$\begin{array} { | l | c | c | c | c | c | } 
\hline \text { Category } & 1 & 2 & 3 & 4 & 5 \
\hline \text { Frequency } & 17 & 29 & 40 & 24 & 20 \
\hline
\end{array}$$

Accepted Answer

The answer of Given the following five categories and the...

Question 11

Which of the following statements is true?
A)A contingency table may also be called a cross classification table
B)A contingency table is used to describe two nominal variables.
C)A bar chart may be used as a graphical display of a contingency table.
D)All of these choices are correct.

Accepted Answer

All of these statements are true. A contingency table is also known as a cross-classification table and is used to describe two nominal variables. A bar chart is a common graphical display of contingency tables, often used to show the frequency distribution of the variables.

Question 12

When a comparison of two breakdowns is desired, component bar charts offer a good alternative to using two pie charts.

Accepted Answer

Component bar charts allow for easy comparison of the values of two breakdowns, whereas using two pie charts can make it difficult to accurately compare the sizes of the different components.

Question 13

Identify the type of data for which each of the following graphs is appropriate.
a. Pie chart.
b. Bar chart.

Accepted Answer

The answer of Identify the type of data for which...

Question 14

If the focus is to compare the size or frequency of various categories, a bar chart may be appropriate. Pie charts are effective whenever the objective is to display the components of a whole entity in a manner that indicates their relative sizes.

Accepted Answer

This statement correctly explains the appropriate use of bar charts and pie charts.

Question 15

A pie chart is always preferable to a bar chart, when describing a nominal variable.

Accepted Answer

A pie chart is not always preferable for describing a nominal variable; the choice between a pie chart and a bar chart depends on the specific context and the clarity of the information being presented. Bar charts can be more effective for comparing individual categories, especially when there are many categories or when the differences between categories are small.

Question 16

Car buyers were asked by a car dealer to rate their level of satisfaction with the service they had
received. The four ratings were Excellent (E), Good (G), Satisfactory (S) and Unsatisfactory (U). The
following data were obtained.
a. Create a bar chart of the level of satisfaction with the service.
b. Create a pie chart of the level of satisfaction with the service. $$\begin{array} { | r | r | r | r | r | r | r | r | r | r | } 
\hline \mathrm { S } & \mathrm { E } & \mathrm { E } & \mathrm { E } & \mathrm { U } & \mathrm { E } & \mathrm { G } & \mathrm { S } & \mathrm { E } & \mathrm { U } \
\hline \mathrm { U } & \mathrm { G } & \mathrm { E } & \mathrm { G } & \mathrm { S } & \mathrm { E } & \mathrm { G } & \mathrm { G } & \mathrm { E } & \mathrm { G } \
\hline \mathrm { S } & \mathrm { E } & \mathrm { E } & \mathrm { S } & \mathrm { U } & \mathrm { G } & \mathrm { G } & \mathrm { E } & \mathrm { E } & \mathrm { S } \
\hline \mathrm { S } & \mathrm { U } & \mathrm { E } & \mathrm { U } & \mathrm { S } & \mathrm { G } & \mathrm { G } & \mathrm { E } & \mathrm { U } & \mathrm { S } \
\hline
\end{array}$$

Accepted Answer

The answer of Car buyers were asked by a car...

Question 17

Construct a pie chart for the sample of 200 business school graduates is shown in the following table. $$\begin{array} { | l | c | } 
\hline \text { Major of graduates } & \text { Number of graduates } \
\hline \text { Accounting } & 58 \
\hline \text { Finance } & 42 \
\hline \text { Management } & 38 \
\hline \text { Marketing } & 52 \
\hline \text { Other } & 10 \
\hline
\end{array}$$

Accepted Answer

The answer of Construct a pie chart for the sample...

Quiz 3: Graphical Descriptive Techniques Nominal Data

The wedges of a pie chart, if displayed as proportions, will sum to 1 or 100%.

Which of the following best describes a component bar chart?

Which of the following best describes a bar chart?

Which of the following is a graphical technique used to present nominal (categorical) data?

A bar chart is a graphical display of a nominal (categorical) variable. The reason for the gaps between the bars is to emphasise that the bars can be placed in any order as the variable is categorical.

Which of the following statements is true?

Which of the following statements about pie charts is false?

Given the following five categories and the number of times each occurs, construct a pie chart and a bar chart. $\begin{array} { | l | c | c | c | c | c | } \hline \text { Category } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Frequency } & 17 & 29 & 40 & 24 & 20 \\\hline\end{array}$

Which of the following statements is true?

When a comparison of two breakdowns is desired, component bar charts offer a good alternative to using two pie charts.

Identify the type of data for which each of the following graphs is appropriate. a. Pie chart. b. Bar chart.

If the focus is to compare the size or frequency of various categories, a bar chart may be appropriate. Pie charts are effective whenever the objective is to display the components of a whole entity in a manner that indicates their relative sizes.

A pie chart is always preferable to a bar chart, when describing a nominal variable.