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

$$\text{Central Angle} = \text{Relative Frequency} \times 360^\circ$$

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

Which of the following is a key advantage of a stem-and-leaf plot compared to a histogram?

Accepted Answer

It preserves the original data values.

Question 4

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

Accepted Answer

Displaying the frequency of individual data values in a small quantitative data set.

Question 5

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

Accepted Answer

$$	ext{Central Angle} = 	ext{Relative Frequency} 	imes 360^\circ$$

Question 6

Which type of graph is best 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

Show the relationship between two quantitative variables.

Question 8

If a scatter plot of petal length and petal width shows that as petal length increases, petal width also increases, what type of relationship is this?

Accepted Answer

A positive association

Question 9

Which of the following is true about a time series chart?

Accepted Answer

It displays quantitative data collected at regular intervals over time.

Question 10

Suppose you have the following data on the number of text messages sent by 50 users in one day, ranging from 17 to 148. Which graph would best help you identify outliers in this data set?

Accepted Answer

Dot plot

Question 11

Which of the following statements about Pareto charts is correct?

Accepted Answer

Bars are arranged in order of decreasing height from left to right.

Question 12

A time series chart of burglaries from 2009 to 2019 shows a decrease after 2011. What does this indicate?

Accepted Answer

The number of burglaries decreased after 2011.

Question 13

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

Accepted Answer

It displays data as sectors of a circle.

Question 14

If you want to compare the number of degrees conferred in different categories as a percentage of the total, which graph should you use?

Accepted Answer

Pie chart

Question 15

Which of the following best describes paired data sets?

Accepted Answer

Each entry in one data set corresponds to one entry in a second data set.

Question 16

A student claims that a Pareto chart can be used to display the relationship between two quantitative variables. Is this correct?

Accepted Answer

No, a Pareto chart is used for qualitative data, not for showing relationships between quantitative variables.

Question 17

Which of the following graphs would be most appropriate to show the trend in the number of motor vehicle thefts in the United States from 2009 to 2019?

Accepted Answer

Time series chart

Question 18

If a dot plot shows that most data entries are between 20 and 80, but one entry is at 148, what can you conclude?

Accepted Answer

148 is an outlier.

Question 19

Which of the following is a correct interpretation of a scatter plot where the points form an upward trend?

Accepted Answer

There is a positive association between the two variables.

Descriptive Statistics: Graphical Methods for Data Presentation

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