Q: If a category in a pie chart has a relative frequency of $$0.25$$, what is the central angle for this category?

$$360^\circ \times 0.25 = 90^\circ$$

Question 1

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

Accepted Answer

A plot that separates each number into a stem and a leaf, preserving original data values and allowing for easy sorting.

Question 2

Given the data set: 21, 25, 25, 26, 27, 28, 30, 36, 36, 45, what is the correct stem-and-leaf representation for the number 36?

Accepted Answer

Stem: 3, Leaf: 6

Question 3

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

Accepted Answer

It retains the original data values, making it easier to identify individual data points.

Question 4

A dot plot is most useful for which type of data?

Accepted Answer

Quantitative data with a small to moderate number of distinct values.

Question 5

In a dot plot of the number of text messages sent by 50 users, most dots are between 20 and 80, with a single dot at 149. What does the dot at 149 represent?

Accepted Answer

An unusual data entry or potential outlier.

Question 6

Which of the following is NOT a characteristic of a pie chart?

Accepted Answer

It is used to display the relationship between two quantitative variables.

Question 7

If a category in a pie chart has a relative frequency of $$0.25$$, what is the central angle for this category?

Accepted Answer

$$360^\circ 	imes 0.25 = 90^\circ$$

Question 8

A Pareto chart is best described as:

Accepted Answer

A vertical bar graph with bars in decreasing order of height, representing frequency or relative frequency.

Question 9

In the 2014 U.S. causes of death example, which cause was identified as the leading cause using a Pareto chart?

Accepted Answer

Heart disease

Question 10

Which type of graph is most appropriate for displaying the relationship between petal length and petal width in Fisher's Iris data set?

Accepted Answer

Scatter plot

Question 11

What trend is shown in a time series chart of motor vehicle thefts in the U.S. from 2005 to 2015?

Accepted Answer

Thefts decreased until 2011 and then remained about the same through 2015.

Question 12

Which of the following is a correct step when constructing a stem-and-leaf plot for the data set: 76, 49, 102, 58?

Accepted Answer

Use the rightmost digit as the leaf and the remaining digits as the stem.

Question 13

Which graph would be most appropriate to show the number of burglaries in the U.S. each year from 2005 to 2015?

Accepted Answer

Time series chart

Question 14

If you want to compare the frequencies of different causes of death in a single year, which graph should you use?

Accepted Answer

Pareto chart

Question 15

Which of the following statements about scatter plots is true?

Accepted Answer

They are used to show the relationship between two quantitative variables.

Question 16

A time series chart is most useful for which of the following scenarios?

Accepted Answer

Tracking the number of hospital admissions each month for a year.

Question 17

If a pie chart shows that the central angle for a category is $$108^\circ$$, what is the relative frequency of that category?

Accepted Answer

$$\frac{108}{360} = 0.3$$

Question 18

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 19

When constructing a stem-and-leaf plot with two rows per stem, which leaves are typically placed in the first row?

Accepted Answer

Leaves 0, 1, 2, 3, and 4

Question 20

Which of the following best describes the main purpose of a Pareto chart?

Accepted Answer

To highlight the most significant categories by displaying them in decreasing order of frequency.

Descriptive Statistics: Graphical Methods for Data Representation

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