Deck 21: Developing Concepts of Data Analysis

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.

Answer 1

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.

Answer 2

About numbers.

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.

Answer 3

Covariation of two data.

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.

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?

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.

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.

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.

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.

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

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.

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.

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?

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.

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

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.

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.

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.

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.