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Trang 1Chapter 3: Presenting Information Exam
Part 1: Questions
Below are 35 multiple-choice questions on Chapter 3 content Each question may require selecting one correct answer, all that apply, or other formats Students should answer on separate answer sheets
1 Which of the following would best present the proportion of total revenue generated by geographic region for one year?
A Pie chart
B Scatter diagram
C Bar chart
D Table
2 Which of the following would best present quarterly sales revenue over a year?
A Simple bar chart
B Table
C Scatter diagram
D Pie chart
3 Which of the following would most usefully present information about a company’s sales
of heating appliances according to daily temperature?
A Pie chart
B Component bar chart
C Scatter diagram
D Simple bar chart
4 Which of the following statements about pie charts are true?
Trang 2(1) Comparisons can be made more accurately with pie charts than with bar charts
(2) They are a graphical representation of relative frequency of quantitative data
(3) The area of each segment is proportional to the percentage it represents
A 1 and 2 only
B 1 and 3 only
C 2 and 3 only
D 1, 2, and 3
5 The following pie chart presents the quarterly sales of a company in $ million Which TWO of the following statements about sales in the 2nd quarter are true?
A They represent 36% of annual sales
B It is not possible to determine the proportion of annual sales
C The angle of the segment is 10 degrees
D The angle of the segment is 36 degrees
E They represent 10% of annual sales
F The angle of the segment is 14 degrees
G It is not possible to determine the angle of the segment
H They represent 14% of annual sales
6 Which chart is best for comparing the number of employees across different departments?
A Pie chart
B Bar chart
C Scatter diagram
D Line graph
7 A line graph is most appropriate for displaying:
A Proportions of a whole
B Trends over time
C Relationships between two variables
D Categorical data comparisons
8 Which of the following is a disadvantage of pie charts?
Trang 3A They cannot show percentages
B They are difficult to compare across multiple categories
C They require complex calculations
D They cannot display quantitative data
9 A histogram is best used to display:
A Categorical data
B Continuous data distribution
C Proportions of a whole
D Relationships between two variables
10 In a bar chart, the height of each bar represents:
A The frequency or quantity of a category
B The proportion of the total
C The angle of a segment
D The relationship between two variables
11 Which of the following is true about a component bar chart?
A It shows trends over time
B It breaks down categories into subcategories
C It is used for continuous data
D It shows correlations between variables
12 A scatter diagram is most useful for:
A Showing proportions
B Displaying trends over time
C Examining relationships between two continuous variables
D Comparing discrete categories
13 Which chart type is least effective for showing small differences between categories?
A Bar chart
B Pie chart
C Line graph
Trang 4D Histogram
14 True or False: A pie chart’s total angle is always 360 degrees
A True
B False
15 Which of the following is an advantage of bar charts over pie charts?
A They better show proportions
B They allow easier comparison of quantities
C They are more visually appealing
D They can display more data points
16 A table is most appropriate when:
A Visual trends are needed
B Precise numerical values are important
C Proportions are the focus
D Relationships between variables are analyzed
17 Which of the following is true about histograms? (Select all that apply)
A They have no gaps between bars
B They are used for categorical data
C They show the distribution of continuous data
D They can represent percentages
18 A line graph is best for showing:
A Proportions of categories
B Changes over a continuous variable like time
C Discrete category comparisons
D Subcategory breakdowns
19 Which chart would best show the market share of different companies?
A Scatter diagram
B Pie chart
C Line graph
Trang 5D Histogram
20 In a pie chart, if a segment represents 25% of the data, what is the angle of that segment?
A 90 degrees
B 25 degrees
C 60 degrees
D 45 degrees
21 Which of the following is a limitation of scatter diagrams?
A They cannot show relationships
B They are not suitable for large datasets
C They cannot display categorical data
D They are difficult to create
22 A component bar chart is useful for:
A Showing trends over time
B Comparing total quantities and their subcategories
C Displaying continuous data distributions
D Showing correlations
23 True or False: Bar charts can only represent categorical data
A True
B False
24 Which of the following is best for showing the frequency distribution of exam scores?
A Pie chart
B Histogram
C Scatter diagram
D Line graph
25 In a bar chart, the gaps between bars indicate:
A Continuous data
B Missing data
C Discrete categories
Trang 6D Proportions
26 Which chart is best for visualizing sales growth over several years?
A Pie chart
B Bar chart
C Line graph
D Component bar chart
27 A pie chart is least effective when:
A There are many categories
B Data is continuous
C Showing trends over time
D All of the above
28 Which of the following is true about line graphs? (Select all that apply)
A They connect data points to show trends
B They are ideal for categorical data
C They are effective for time-series data
D They show proportions of a whole
29 A histogram differs from a bar chart because:
A It has gaps between bars
B It represents continuous data
C It cannot show frequencies
D It is used for proportions
30 Which chart is best for showing the relationship between hours studied and exam scores?
A Pie chart
B Bar chart
C Scatter diagram
D Component bar chart
31 In a pie chart, if the angle of a segment is 72 degrees, what percentage does it represent?
A 20%
Trang 7B 25%
C 15%
D 10%
32 Which of the following is a benefit of using tables?
A They show trends visually
B They allow precise data comparisons
C They are ideal for proportions
D They display relationships between variables
33 True or False: A scatter diagram can only show positive correlations
A True
B False
34 Which chart would best show the breakdown of expenses by category for a single year?
A Line graph
B Pie chart
C Scatter diagram
D Histogram
35 Which of the following is true about presenting data? (Select all that apply)
A Charts should be clear and not misleading
B Tables are best for visual trends
C Pie charts are effective for small numbers of categories
D Histograms are used for continuous data distributions
36 A company wants to show monthly sales data for two products over a year Which chart
is best?
A Pie chart
B Component bar chart
C Line graph
D Scatter diagram
Trang 8Part 2: Answers and Detailed Explanations
This section is for instructors Each answer includes an explanation based on fundamental data presentation concepts
1 A Pie chart Explanation: A pie chart is ideal for showing proportions of a whole, like
revenue by region, as each segment’s area represents the relative contribution Scatter diagrams show relationships, bar charts compare quantities, and tables provide precise data but less visual impact
2 A Simple bar chart Explanation: A simple bar chart effectively compares quarterly
sales revenue over a year, with bars for each quarter Tables give exact figures, scatter diagrams show relationships, and pie charts emphasize proportions, not time trends
3 C Scatter diagram Explanation: A scatter diagram shows the relationship between two
continuous variables (temperature and sales), revealing patterns like higher sales at lower temperatures Pie charts show proportions, component bar charts show subcategories, and simple bar charts are for discrete categories
4 C 2 and 3 only Explanation: (1) False: Bar charts allow more accurate comparisons due
to easier length comparisons (2) True: Pie charts show relative frequencies of quantitative data (3) True: Segment areas are proportional to percentages
5 B, G Explanation: Without the pie chart or specific data, the proportion of 2nd quarter
sales (36%, 10%, or 14%) and the angle (10°, 36°, or 14°) cannot be determined
6 B Bar chart Explanation: Bar charts are best for comparing quantities across categories,
like employees per department Pie charts show proportions, scatter diagrams show rela-tionships, and line graphs show trends
7 B Trends over time Explanation: Line graphs are ideal for showing trends over time, like
stock prices Proportions use pie charts, relationships use scatter diagrams, and categorical comparisons use bar charts
8 B They are difficult to compare across multiple categories Explanation: Pie charts
struggle with comparing many categories due to angle/area comparison difficulties They can show percentages, don’t require complex calculations, and can display quantitative data
9 B Continuous data distribution Explanation: Histograms show the distribution of
continuous data (e.g., exam scores) Categorical data use bar charts, proportions use pie charts, and relationships use scatter diagrams
10 A The frequency or quantity of a category Explanation: Bar heights represent the
Trang 9frequency or quantity of categories Proportions are for pie charts, angles for pie charts, and relationships for scatter diagrams
11 B It breaks down categories into subcategories Explanation: Component bar charts
show categories and their subcategories (e.g., sales by product type) Trends use line graphs, continuous data use histograms, and correlations use scatter diagrams
12 C Examining relationships between two continuous variables Explanation:
Scat-ter diagrams show relationships between continuous variables (e.g., height vs weight) Proportions use pie charts, trends use line graphs, and discrete comparisons use bar charts
13 B Pie chart Explanation: Pie charts are less effective for small differences due to angle
comparison difficulties Bar charts, line graphs, and histograms are better for precise comparisons
14 A True Explanation: A pie chart’s total angle is 360 degrees, representing 100% of the
data
15 B They allow easier comparison of quantities Explanation: Bar charts allow easier
quantity comparisons due to length comparisons Pie charts are better for proportions, and visual appeal or data points depend on context
16 B Precise numerical values are important Explanation: Tables provide exact
num-bers for precise comparisons Trends use charts, proportions use pie charts, and relation-ships use scatter diagrams
17 A, C, D Explanation: Histograms have no gaps (A), show continuous data distributions
(C), and can represent percentages (D) They are not for categorical data (B)
18 B Changes over a continuous variable like time Explanation: Line graphs show
changes over continuous variables like time Proportions use pie charts, discrete compar-isons use bar charts, and subcategory breakdowns use component bar charts
19 B Pie chart Explanation: Pie charts show market share as proportions of a whole Scatter
diagrams show relationships, line graphs show trends, and histograms show distributions
20 A 90 degrees Explanation: 25% of 360° = 0.25 × 360 = 90 degrees.
21 C They cannot display categorical data Explanation: Scatter diagrams are for
con-tinuous data, not categorical They can show relationships, handle large datasets, and are not difficult to create
22 B Comparing total quantities and their subcategories Explanation: Component
bar charts show totals and subcategories (e.g., sales by region and product) Trends use line graphs, distributions use histograms, and correlations use scatter diagrams
Trang 1023 B False Explanation: Bar charts can represent categorical or summarized continuous
data (e.g., average sales by month)
24 B Histogram Explanation: Histograms show frequency distributions of continuous data
like exam scores Pie charts show proportions, scatter diagrams show relationships, and line graphs show trends
25 C Discrete categories Explanation: Gaps in bar charts indicate discrete categories.
Continuous data use histograms, missing data isn’t shown by gaps, and proportions use pie charts
26 C Line graph Explanation: Line graphs show sales growth over time Pie charts show
proportions, bar charts compare categories, and component bar charts show subcategories
27 D All of the above Explanation: Pie charts are ineffective with many categories,
con-tinuous data, or time trends due to comparison difficulties
28 A, C Explanation: Line graphs connect points for trends (A) and are effective for
time-series data (C) They are not ideal for categorical data (B) or proportions (D)
29 B It represents continuous data Explanation: Histograms represent continuous data
with no gaps Bar charts have gaps, histograms show frequencies, and they are not for proportions
30 C Scatter diagram Explanation: Scatter diagrams show relationships between
continu-ous variables like hours studied and exam scores Pie charts show proportions, bar charts compare categories, and component bar charts show subcategories
31 A 20% Explanation: 72° ÷ 360° = 0.2 or 20%.
32 B They allow precise data comparisons Explanation: Tables provide exact numbers
for comparisons Trends use charts, proportions use pie charts, and relationships use scatter diagrams
33 B False Explanation: Scatter diagrams can show positive, negative, or no correlations.
34 B Pie chart Explanation: Pie charts show expense breakdowns as proportions Line
graphs show trends, scatter diagrams show relationships, and histograms show distribu-tions
35 A, C, D Explanation: Charts should be clear (A), pie charts work best with few categories
(C), and histograms are for continuous distributions (D) Tables are not best for visual trends (B)
36 C Line graph Explanation: Line graphs show monthly sales trends for multiple products
over time Pie charts show proportions, component bar charts show subcategories, and
Trang 11scatter diagrams show relationships.