Deck 18: Understanding and Representing Concepts of Data

Question 1

The difference between an object graph and a picture graph is that:

A)the object graph is more accurate than a picture graph.
B)the object graph uses actual objects and the picture graph uses drawings.
C)the object graph is not as easily understood as the picture graph.
D)the object graph is similar to a line plot but the picture graph is not.

Answer 1

the object graph uses actual objects and the picture graph uses drawings.

Question 2

A line plot is:

A)another name for a line graph.
B)used to show interval data.
C)another name for a stem-and-leaf plot.
D)used to show individual data points.

Answer 2

used to show individual data points.

Question 3

Suppose childre n are asked to give the number of children in their families, and they find that two children is the most frequent answer. They are working with the:

A)mean.
B)median.
C)mode.
D)range.

Answer 3

mode.

Question 4

The difference between a bar graph and a line plot is:

A)a bar graph shows interval data, and the line plot does not.
B)a bar graph shows more detail than a line plot.
C)a line plot shows individual pieces of data, and the bar graph does not.
D)very little, as they are essentially the same graph.

Question 5

A line graph is better for:

A)discrete data.
B)continuous data.
C)interval data.
D)categorical data.

Question 6

According to the NCTM, the main purpose of collecting data is to:

A)answer questions when the answers are not immediately obvious.
B)satisfy state and national standards.
C)satisfy the data analysis content standard.
D)find definitive answers to given information.

Question 7

In a given survey, 2 children preferred vanilla ice cream, 5 preferred chocolate ice cream, 7 preferred chocolate chip ice cream, and 10 preferred cookie dough ice cream. Asked to make a bar graph of the data, Sara chose to label the vertical axis with these numbers (2, 5, 7, 10), marking each number along the axis, one after the other. Which of the following is a true statement about this graph?

A)This is an accurate portrayal of the information.
B)The graph is distorted because the numbers are not equally spaced.
C)The graph has inaccurate or nonexistent labels on the horizontal axis.
D)The graph should have shown the individual data points.

Question 8

Prerequisites for constructing circle graphs include all of the following except for :

A)understanding decimals and fractions.
B)measuring angles with a protractor.
C)understanding percents.
D)understanding numerical data.

Question 9

The following are questions that should be asked when working with meaningful collection and display of data except for :

A)What is the question that justifies the data collection?
B)What information is needed to answer the question?
C)What is the easiest graph to make with the data?
D)How can the information be organized and analyzed?

Question 10

Comparing a bar graph to a histogram, which of the following is a true statement?

A)A bar graph illustrates interval data and a histogram illustrates discrete data.
B)A bar graph is a specialized type of histogram.
C)A bar graph has separate bars while the histogram has bars that must touch.
D)A histogram is a specialized type of bar graph.

Question 11

The mean and the median can be determined for:

A)numerical data.
B)categorical data.
C)both numerical and categorical data.
D)neither numerical nor categorical data.

Question 12

An outlier will affect which of the following measures the most?

A)mode
B)median
C)mean
D)interquartile range

Question 13

A teacher measured the heights of children in her classroom and determined that the mean was 56 inches and the median was 54 inches. Which of the following statements is true?

A)Half the children were taller than 56 inches.
B)The average height of the children was 55 inches.
C)Half the children were taller than 54 inches.
D)The average height of the children was 54 inches.

Question 14

The mode can be determined for:

A)numerical data only.
B)categorical data only.
C)both numerical and categorical data.
D)neither numerical nor categorical data.

Question 15

Stem-and-leaf plots are especially useful for displaying:

A)raw data.
B)categorical data.
C)continuous data.
D)interval data.

Question 16

Circle graphs are used to illustrate:

A)categorical data.
B)numerical data.
C)interval data.
D)continuous data.

Question 17

A line graph could be used in each of the following situations except for :

A)trends over time.
B)data such as height and weight.
C)the number of siblings children have.
D)situations in which one value changes in relation to another.

Question 18

The following are true statements about box-and-whisker plots except for :

A)Box-and-whisker plots are used to compare two different data sets.
B)Box-and-whisker plots represent data in 25% increments.
C)Box-and-whisker plots represent how scattered the data are.
D)Box-and-whisker plots are use to find the mean and standard deviation of a set of data.

Question 19

A box-and-whisker plots graphically displays:

A)the mean, the median, and the mode.
B)the mean, the median, and the lower quartile.
C)the median, the lower quartile, and the mode.
D)the median, the lower quartile, and the third quartile.

Question 20

Which of the following is not a characteristic of a hat plot?

A)A hat plot displays all of the data.
B)A hat plot shows the median.
C)A hat plot shows the high and low data points.
D)A hat plot displays the range of data.

Question 21

TIMSS: The graph below shows the number of pens, pencils, rulers, and erasers sold by a store in one week.

The names of the items are missing from the graph. Pens were the item most often sold, and fewer erasers than any other items were sold. More pencils than rulers were sold. How many pencils were sold?

A)40 pencils
B)80 pencils
C)120 pencils
D)140 pencils

Question 22

Data collection is more meaningful for younger children if it relates to their lives. Give three examples of data collection activities that would further children's understanding of data collection.

Question 23

NAEP: The pie chart below shows the portion of time Brooklyn spent on homework in each subject last week.

If Brooklyn spent two hours on mathematics, about how many hours did Brooklyn spend on homework altogether?

A)4 hours
B)8 hours
C)12 hours
D)16 hours

Question 24

All of the following data values are represented on a box-and-whisker plot except for:

A)mean.
B)median.
C)outliers.
D)third quadrant.

Question 25

In order to determine the average price of a room at a New York City hotel, you would determine the

A)mean.
B)median.
C)mode.
D)range.

Question 26

34.  What are the major concepts about data collection that a teacher should strive for?

Question 27

Teacher Licensing Examination Questions
Praxis: The hand spans of ninth-grade students at Martin Luther King, Jr. High are approximately normally distributed, with a mean of 7 inches and a standard deviation of 1 inch. Of the following groups of measurements of hand span, which is expected to contain the largest number of ninth-graders?

A)less than 6 inches
B)greater than 7 inches
C)between 6 and 8 inches
D)between 5 and 7 inches

Question 28

Which of these measures of central tendency will be affected by an outlier?

A)mean
B)median
C)mode
D)mean, median, and mode

Question 29

A student asks you to explain why there are both histograms and bar graphs. Give examples that illustrate the differences between these two types of graphs.

Question 30

In order to determine the favorite ice cream flavor of the class, you would determine the

A)mean.
B)median.
C)mode.
D)range.

Question 31

Explain the differences between object graphs and picture graphs.

Question 32

Which of the following is categorical data?

A)shoe size
B)height
C)weight
D)age

Question 33

In order to find the class average on a test, you would determine the

A)mean.
B)median.
C)mode.
D)range.

Question 34

Find the median of the following set:
{7, 9, 12, 6, 18, 44}

A)16
B)10
C)10.5
D)12

Question 35

What are two misconceptions children are prone to experience when working with bar graphs?

Question 36

Children have difficulty deciding when the mode, median, and mean would be appropriate measures of data. Give one situation for each measure of central tendency that would help children remember the differences and uses for these measures.

Question 37

Explain the difference between categorical and numerical data.

Question 38

Using tables is one of the first data collection devices that children use to display data. Why are tables particularly suited to young children's understanding of data collection?

Question 39

Children use circle graphs:

A)only after they can impute percentages.
B)only after they understand angle measure.
C)when they can informally compare areas.
D)when they are ready to construct their own circle graphs.

Question 40

Young children would work with graphs in which order?

A)object, bar, picture
B)bar, picture, object
C)object, picture, bar
D)bar, object, picture

Question 41

Is it possible to create stem-and-leaf plots and box-and-whisker plots with the same data set? If so, give an example that could be used for both. Then explain the differences, if any, in the two different graphs.

Question 42

A TV reporter showed this graph during a newscast and said: "The graph shows that there is a huge increase in the number of robberies from 2016 to 2017."

Do you consider the reporter's statement to be a reasonable interpretation of the graph? Give an explanation to support your answer.

Question 43

Circle graphs are difficult for children to create until they have reached the maturation level of middle school. What are some ways that elementary teachers can introduce circle graphs before that time?