Question 1

Which of the following best describes a stem-and-leaf plot?

Accepted Answer

A plot that separates each data value into a stem and a leaf, preserving the original data values.

Question 2

When constructing a stem-and-leaf plot for the data set: 21, 25, 25, 26, 27, 28, 30, 36, 36, 45, what is the stem for the value 36?

Accepted Answer

$$3$$

Question 3

What is a key advantage of a stem-and-leaf plot compared to a histogram?

Accepted Answer

It preserves the original data values, allowing for easy sorting.

Question 4

A dot plot is most useful for which of the following purposes?

Accepted Answer

Showing the distribution and frequency of individual data values.

Question 5

In a pie chart, how is the central angle for each category calculated?

Accepted Answer

By dividing the frequency of the category by the total frequency and multiplying by $$360^{\circ}.$$

Question 6

Which type of graph is most appropriate for displaying the leading causes of death in the United States, ordered from most to least frequent?

Accepted Answer

Pareto chart

Question 7

A scatter plot is used to:

Accepted Answer

Display the relationship between two quantitative variables.

Question 8

Suppose you have paired data on hours studied and exam scores for a group of students. Which graph would best help you determine if there is a relationship between these two variables?

Accepted Answer

Scatter plot

Question 9

Which of the following statements about a time series chart is correct?

Accepted Answer

It shows how a quantitative variable changes over regular intervals of time.

Question 10

A time series chart of annual rainfall in a city from 2000 to 2020 would most likely have:

Accepted Answer

Rainfall on the vertical axis and years on the horizontal axis.

Question 11

If a Pareto chart shows that the first two bars are much taller than the others, what does this indicate?

Accepted Answer

The first two categories have the highest frequencies.

Question 12

Which of the following is a correct interpretation of a scatter plot where the points trend upward from left to right?

Accepted Answer

There is a positive relationship between the two variables.

Question 13

A researcher wants to show the percentage of students in different majors at a university. Which graph should they use?

Accepted Answer

Pie chart

Question 14

Which of the following is NOT a feature of a stem-and-leaf plot?

Accepted Answer

It is useful for large data sets with many digits.

Question 15

A dot plot of the number of text messages sent by 50 users shows that most dots are between 20 and 80, with one dot at 148. What does the dot at 148 represent?

Accepted Answer

An outlier or unusual data entry.

Question 16

Which of the following best describes a Pareto chart?

Accepted Answer

A bar graph with bars arranged in order of decreasing height.

Question 17

If you want to compare the frequencies of different causes of death in a single year, which graph would be most appropriate?

Accepted Answer

Pareto chart

Question 18

Which of the following is a correct step when constructing a pie chart?

Accepted Answer

Calculate the central angle for each category using $$	ext{Central Angle} = 	ext{Relative Frequency} 	imes 360$$^{\circ}$$.

Question 19

Which type of graph would best show the trend in the number of burglaries in the United States from 2009 to 2019?

Accepted Answer

Time series chart

Question 20

A time series chart shows a steady decrease in the number of motor vehicle thefts over a decade. What does this indicate?

Accepted Answer

The number of thefts decreased over time.

Descriptive Statistics: Graphical Methods for Data Representation

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