Question 1

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.

Accepted Answer

The teacher would like to display how many students received A's on the last test,B's,etc.A histogram would be appropriate because each individual score is not needed to meet her needs,simply intervals. Barry would like to see whether there is a relationship between the amount of time he exercises and his weight.A scatter plot is the best data display for showing a relationship,because the correlation of two variables is easily seen

Question 2

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.

Accepted Answer

B

Question 3

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.

Accepted Answer

Bivariate data representations show the covariation of two sets of data. It helps to understand the relationship between two variables and how they are related to each other. The other options are not relevant to bivariate data representations.

Question 4

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.

Accepted Answer

Box plots are best suited for displaying the median and range of a data set. The box represents the interquartile range (IQR) which contains the middle 50% of the data, with the median represented by a line inside the box. The whiskers extend to the minimum and maximum values of the data, providing information about the range. The mean and mode are not typically displayed in box plots.

Question 5

Analyzing or interpreting data is a function of organizing and representing dat a.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?

Accepted Answer

This question is not relevant to discussing the data itself and instead focuses on the intention of the graph maker. It does not contribute to analyzing or interpreting the data.

Question 6

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.

Accepted Answer

The purpose of creating a model is to make predictions about data that have not yet been observed.

Question 7

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.

Accepted Answer

The other three components mentioned (data located on one-fourth to the left and right of the median, a line inside at the median of the data, and a line to show the lower extreme and upper extreme) are all essential components of creating a box plot. However, the "line with Xs or dots to correspond with the data" is not a component of creating a box plot. Instead, the data points are shown as individual dots or asterisks outside of the box plot itself.

Question 8

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.

Accepted Answer

Categorical data refers to data that can be divided into groups or categories that do not have a numerical value or order. Choices A, B, and D all represent data that can be categorized without implying a numerical value or order (types of food, preferences, colors). Choice C, however, involves counting the number of boys and girls, which is numerical data, not categorical.

Question 9

The graphical representations listed can be used to display continuous data EXCEPT:
A)Bar graph.
B)Stem and Leaf.
C)Line Plot.
D)Histogram.

Accepted Answer

Bar graphs do not display continuous data as they are meant for categorical data. The other options, Stem and Leaf, Line Plot, and Histogram, are all suitable for displaying continuous data.

Question 10

In statistics,_________ is essential to analyzing and interpreting the dat a.
A)Type of graphical representation
B)Context
C)Range
D)Mean absolute deviation

Accepted Answer

Context is crucial in statistics as it helps in understanding the background and relevant factors that influence the data. It provides insights into why certain trends may be observed and how the data can be interpreted in a meaningful manner. Without context, the data may be misinterpreted, leading to incorrect conclusions and decisions. Therefore, understanding the context is essential for accurate and effective data analysis and interpretation. The other options may also be useful in statistics, but they are not as fundamental as context.

Question 11

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.

Accepted Answer

Pie charts are useful for showing proportions and percentages. The size of each slice represents the proportion or percentage of the whole, making it easy for students to visualize and understand the relationship between degrees and percents.

Question 12

Identify the graphical representation that works well for comparisons.
A)Dot plot.
B)Scatter Plot.
C)Object graph.
D)Stem and leaf plot.

Accepted Answer

Dot plots are ideal for comparisons as they display individual data points as dots along a number line. This allows for easy comparison between multiple sets of data and also shows the distribution of the data. Scatter plots are also used for comparisons, but they are more suited for showing the relationship between two variables rather than comparing different groups. Object graphs and stem-and-leaf plots are not commonly used for comparisons.

Question 13

Data collection should be for a purpose and to answer a question.Identify the question below that would NOT generate dat a.
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?

Accepted Answer

The answer of Data collection should be for a purpose...

Question 14

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 dat
a.

Accepted Answer

The answer of Provide two examples of questions that would...

Question 15

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

Accepted Answer

The answer of Which of these options is the best...

Question 16

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.

Accepted Answer

The word "average" can refer to all three measures of center, not just the mean.

Question 17

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.

Accepted Answer

While random sampling is often an important step in collecting data for statistical analysis, it is not always necessary or feasible. Therefore, the full process of doing meaningful statistics may not always involve randomly sampling. However, clarifying the problem, collecting data, and interpreting the analysis are essential components of any meaningful statistical analysis.

Question 18

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.

Accepted Answer

The answer of Which statistical literacy activity below is appropriate...

Question 19

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.

Accepted Answer

When students create data displays themselves, they are usually more invested and interested in the data analysis as they have ownership over the process. This can lead to increased engagement and understanding of the data. Option A is incorrect as creating data displays requires students to become familiar with different types of graphs. Option C is incorrect as creating data displays can provide opportunities for discussion on data interpretation. Option D is incorrect as students can construct data displays using various digital tools.

Quiz 21: Developing Concepts of Data Analysis

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.

What do statistics and mathematics have in common?

What do bivariate data representations show?

What are Box plots most suited for displaying?

Analyzing or interpreting data is a function of organizing and representing dat a.Identify the question that would NOT foster a meaningful discussion about the data.

Scatter plots can indicate a relationship.Complete this statement,"The value of this statistic is to create a model that will..".

These are components of creating a box plot graphical representation EXCEPT:

The following are categorical data EXCEPT:

The graphical representations listed can be used to display continuous data EXCEPT:

In statistics,_________ is essential to analyzing and interpreting the dat a.

What type of graphical representation can help make sense of proportion by having students convert between degrees and percents?

Identify the graphical representation that works well for comparisons.

Data collection should be for a purpose and to answer a question.Identify the question below that would NOT generate dat a.

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 dat a.

Which of these options is the best way to display continuous data?

These are true statements about the measures of center EXCEPT:

The full process of doing meaningful statistics involves all of these EXCEPT:

Which statistical literacy activity below is appropriate for early elementary students?

Complete this statement,"When students create data displays themselves..".