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Chapter 20: Developing Concepts of Data Analysis
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or
answers the question.
1) What do statistics and mathematics have in common?
A) About numbers and operations.
B) About numbers.
C) About generalizations and abstractions.
D) About variables and cases.
2) Which statistical literacy activity below is appropriate for early elementary students?
A) How data can be categorized and displayed.
B) How data can be collected and represented.
C) How data can be represented in frequency tables and bar graphs.
D) How data can be analyzed with measure of center.
3) The following are categorical data EXCEPT:
A) Food groups served for lunch.
B) The students’ favorite things.
C) Count of boys and girls in the fifth grade.
D) Different color cars in the parking lot.
4) Complete this statement, “When students create data displays themselves…”
A) They become less familiar with the structure of different graphs.
B) They are usually more invested and, therefore, interested in the data analysis.
C) They have less time to discuss how to interpret the data.
D) They are usually required to construct them with paper pencil.
5) Which of these options is the best way to display continuous data?
A) Stem-and-leaf plot.
B) Circle graph.
C) Line graph.
D) Venn diagram.
6) These are true statements about the measures of center EXCEPT:
A) The median is easier for students to compute and not affected by extreme values like the
mean is.
B) The context of a situation determines which measure would be most appropriate.
C) When one hears the word “average,” he or she can assume that the mean is being referred to.
D) The mode is the value in a data set that occurs most frequently.
7) In statistics, ________ is essential to analyzing and interpreting the data.
A) Type of graphical representation.
B) Context.
C) Range.
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D) Mean absolute deviation.
8) The full process of doing meaningful statistics involves all of these EXCEPT:
A) Clarify the problem at hand.
B) Employ a plan to collect the data.
C) Interpret the analysis.
D) Randomly sample.
9) What are Box plots most suited for displaying?
A) The mean of a data set.
B) The mean and mode of a data set.
C) The median of a data set.
D) The median and range of a data set.
10) Analyzing or interpreting data is a function of organizing and representing data. Identify the
question that would NOT foster a meaningful discussion about the data.
A) What does the graph not tell us?
B) What other graphical representations could we use?
C) What kinds of variability do we need to consider?
D) What is the maker of the graph trying to tell us?
11) Identify the graphical representation that works well for comparisons.
A) Dot plot.
B) Scatter Plot.
C) Object graph.
D) Stem and leaf plot.
12) Data collection should be for a purpose and to answer a question. Identify the question below
that would NOT generate data.
A) How much change do you have in your pocket?
B) How much loose change does a person typically carry in their pocket?
C) How do people choose gum?
D) How long does a piece of gum keep its flavor?
13) What type of graphical representation can help make sense of proportion by having students
convert between degrees and percents?
A) Histogram.
B) Pie Chart.
C) Box Plot.
D) Stem and Leaf.
14) The graphical representations listed can be used to display continuous data EXCEPT:
A) Bar graph.
B) Stem and leaf.
C) Line plot.
D) Histogram.
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15) What do bivariate data representations show?
A) Spreading and bunching of each quarter of data.
B) Number of data elements falling into an interval.
C) Covariation of two data.
D) Two sets of data extending in opposite directions.
16) These are components of creating a box plot graphical representation EXCEPT:
A) Data located on one-fourth to the left and right of the median.
B) A line inside at the median of the data.
C) A line to show the lower extreme and upper extreme.
D) A line with Xs or dots to correspond with the data.
17) Scatter plots can indicate a relationship. Complete this statement, “The value of this statistic
is to create a model that will…”
A) Predict what has not been observed.
B) Define the quartiles.
C) Represent rational number data.
D) Convert between percents and degrees.
18) Existing data can be found in print and web resources. All of the activities below would be
reasons to use and discuss them in a classroom EXCEPT:
A) Difference between facts and inference.
B) Message intended by the person who made the graph.
C) Effectiveness of the graph in communicating the findings.
D) Process of gathering data to answer questions.
ESSAY. Write your answer in the space provided or on a separate sheet of paper.
19) Name two situations that could require data to be displayed. Choose the most appropriate
data display format for each and explain the reasoning for your choice.
20) Provide two examples of questions that would help guide class discussions about data
interpretation. Explain how each question could help develop students’ ability to analyze data.
