Q: If a pie chart shows that 30% of students earned a Bachelor’s degree, what is the central angle for this sector?

$$\frac{30}{100} \times 360 = 108$$ degrees

Question 1

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

Accepted Answer

A plot where each number is separated into a stem (all but the last digit) and a leaf (the last digit), preserving the original data values.

Question 2

Given the data set: 13, 17, 21, 24, 25, 28, 32, which value would be the stem for the number 28 in a stem-and-leaf plot?

Accepted Answer

$$2$$

Question 3

Which type of graph is most appropriate for displaying the number of students in different college majors?

Accepted Answer

Pie chart

Question 4

A Pareto chart is different from a regular bar graph because:

Accepted Answer

It arranges bars in descending order of frequency.

Question 5

If a pie chart shows that 30% of students earned a Bachelor’s degree, what is the central angle for this sector?

Accepted Answer

$$\frac{30}{100} 	imes 360 = 108$$ degrees

Question 6

Which of the following is a disadvantage of using a stem-and-leaf plot?

Accepted Answer

It is impractical for large data sets.

Question 7

A dot plot is most useful when:

Accepted Answer

You have a small to moderate set of quantitative data and want to see clusters or gaps.

Question 8

Which of the following statements about pie charts is TRUE?

Accepted Answer

The area of each sector is proportional to the frequency of each category.

Question 9

In a Pareto chart showing causes of death, the first bar represents heart disease with 659,041 deaths, and the second bar represents cancer with 599,601 deaths. What does this ordering illustrate?

Accepted Answer

Bars are arranged in descending order of frequency.

Question 10

A bar graph is constructed to compare the number of students in different sports teams. Which axis should represent the sports categories?

Accepted Answer

The x-axis

Question 11

Suppose you have the following data: 45, 47, 52, 53, 53, 54. What would be the leaf for the number 53 in a stem-and-leaf plot?

Accepted Answer

$$3$$

Question 12

Which of the following is NOT a feature of a bar graph?

Accepted Answer

Bars must always be arranged in descending order.

Question 13

A researcher wants to display the distribution of the number of daily steps taken by 30 participants. Which graphical method would best preserve the original data values?

Accepted Answer

Stem-and-leaf plot

Question 14

Which of the following is a correct interpretation of a dot plot showing the number of text messages sent by 50 users, where most dots are clustered between 20 and 50?

Accepted Answer

Most users sent between 20 and 50 text messages.

Question 15

If a bar graph is used to display the number of cars sold by color (red, blue, black, white), what type of data is being represented on the x-axis?

Accepted Answer

Qualitative

Question 16

Which of the following is a step in constructing a pie chart?

Accepted Answer

Calculate the relative frequency (percent) of each category.

Question 17

A company wants to compare the frequency of different customer complaints. Which graph would best highlight the most common complaint?

Accepted Answer

Pareto chart

Question 18

Which of the following is TRUE about the use of dot plots?

Accepted Answer

They display each data value as a point above a horizontal axis.

Question 19

If a Pareto chart shows that two categories together account for more than half of the total frequency, what does this suggest?

Accepted Answer

The two categories are the most significant contributors to the total.

Question 20

Which of the following is a limitation of pie charts?

Accepted Answer

They are not effective for displaying a large number of categories.

Descriptive Statistics: Graphical Displays of Data

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