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2. Exploring Categorical and Quantitative Data Online Quiz Questions

Use this free practice quiz with 20 questions to review 2. Exploring Categorical and Quantitative Data, test your knowledge, and prepare for your next test or exam.

20 questions
01
Choose one
1 point

A school wants to compare the numbers of students who usually walk, bicycle, take the bus, or ride in a car. Which display is most appropriate?

  1. A

    Histogram

  2. B

    Bar chart

  3. C

    Dotplot

  4. D

    Time plot

02
True or false
1 point

True or false: In a histogram, adjacent bars normally touch because they represent connected numerical intervals.

  1. A

    True

  2. B

    False

03
Written response
1 point

A boxplot summary for waiting times has Q1 = 5 minutes and Q3 = 10 minutes. What is the interquartile range? Enter the value in minutes.

04
Fill in the blank
1 point

In a table, the number of observations in each category is the , while each category's proportion or percentage of the total is its .

05
Choose all
1 point

Select all displays that are appropriate for examining a quantitative distribution.

  1. A

    Dotplot

  2. B

    Bar chart

  3. C

    Boxplot

  4. D

    Frequency table for named categories

06
Choose one
1 point

Which feature distinguishes a histogram from a bar chart?

  1. A

    The bars must be separated by spaces

  2. B

    The horizontal axis contains only named categories

  3. C

    The horizontal axis has a fixed order determined by numerical intervals

  4. D

    The display can show only relative frequencies

07
True or false
1 point

True or false: Sorting monthly observations from smallest to largest before graphing them in a time plot would preserve the original time pattern.

  1. A

    True

  2. B

    False

08
Written response
1 point

A researcher has a large data set of commute times and wants to examine the overall shape of their distribution. Which type of display should be used? Enter the display name.

09
Fill in the blank
1 point

A commute-time histogram has frequencies 5, 14, 16, 9, 4, and 2 for the intervals 0–9, 10–19, 20–29, 30–39, 40–49, and 50–59 minutes, respectively. The distribution is .

10
Choose all
1 point

Select all elements that commonly belong in a complete description of a quantitative distribution.

  1. A

    The variable and its context or units

  2. B

    The distribution's shape

  3. C

    A claim that one variable causes another

  4. D

    A measure of center and a measure of spread

11
Choose one
1 point

Monthly library visits are 820 in January, 790 in February, 860 in March, 940 in April, 1,020 in May, and 980 in June. Which display is most appropriate for examining the change across these months?

  1. A

    Boxplot

  2. B

    Time plot

  3. C

    Bar chart

  4. D

    Dotplot

12
Open ended
1 point

Using the monthly library-visit values 820, 790, 860, 940, 1,020, and 980 for January through June, write one concise conclusion describing the trend in context.

13
Choose one
1 point

A boxplot has Q1 = 5 minutes and Q3 = 10 minutes. What portion of the observations lies between these two values?

  1. A

    The lowest 25% of observations

  2. B

    The highest 25% of observations

  3. C

    The middle 50% of observations

  4. D

    All observations except possible outliers

14
Choose one
1 point

Which statement correctly describes a dotplot?

  1. A

    A histogram groups observations into bins

  2. B

    A dotplot shows individual observations and stacks repeated values

  3. C

    A boxplot displays every observation separately

  4. D

    A bar chart requires quantitative intervals

15
Choose one
1 point

In the transportation frequency table for 40 students, which method of transportation is most common?

  1. A

    Walking

  2. B

    Bicycle

  3. C

    Bus

  4. D

    Car

16
Choose one
1 point

Which statement correctly distinguishes a bar chart from a histogram?

  1. A

    A histogram should always have separated bars.

  2. B

    A bar chart should have spaces between bars because its categories are distinct.

  3. C

    A bar chart must use equal-width numerical intervals.

  4. D

    A histogram compares named categories rather than quantitative intervals.

17
Choose one
1 point

For the waiting times 3, 4, 4, 5, 6, 6, 6, 7, 8, 10, 11, and 15 minutes, what would appear above the value 6 in a dotplot?

  1. A

    3

  2. B

    2

  3. C

    1

  4. D

    3 stacked dots

18
True or false
1 point

True or false: Reordering observations from smallest to largest preserves the time pattern that a time plot is intended to display.

  1. A

    True

  2. B

    False

19
Written response
1 point

A data set has Q1 = 5 minutes and Q3 = 10 minutes. What is the interquartile range, in minutes? Enter the IQR as a number of minutes.

20
Written response
1 point

Which statistical display is most appropriate for showing the shape of a larger quantitative distribution grouped into numerical intervals? Enter one statistical term.