Q: Which formula would you use to determine the class width when constructing a frequency distribution, as shown in the eighth image?

$$\frac{\text{max} - \text{min}}{\# \text{ of classes}}$$

Question 1

Which type of data is best represented by a bar graph, as shown in the first image?

Accepted Answer

Qualitative (categorical) data

Question 2

The second image shows a bar graph with bars arranged in descending order. What is the special name for this type of graph?

Accepted Answer

Pareto chart

Question 3

A pie chart (as in the third image) is most appropriate for displaying:

Accepted Answer

The percentage of responses in each category of a qualitative variable

Question 4

The fourth image is a histogram. Which of the following statements is true about histograms?

Accepted Answer

They display frequencies for quantitative data using adjacent bars

Question 5

The fifth image shows a frequency polygon. What is the main difference between a histogram and a frequency polygon?

Accepted Answer

A histogram uses bars, while a frequency polygon uses points connected by lines

Question 6

The formula in the sixth image is used to calculate which of the following?

Accepted Answer

Class midpoint

Question 7

The formula in the seventh image, $$\left( \frac{f}{n} 	imes 100\% ight)$$, is used to calculate:

Accepted Answer

Relative frequency (as a percentage)

Question 8

Which formula would you use to determine the class width when constructing a frequency distribution, as shown in the eighth image?

Accepted Answer

$$\frac{	ext{max} - 	ext{min}}{\# 	ext{ of classes}}$$

Question 9

Which of the following best describes the distribution shown in the eleventh image (histogram with a peak in the center and symmetry)?

Accepted Answer

Normal (bell-shaped)

Question 10

The twelfth image shows a histogram with a peak on the left and a tail to the right. What is the shape of this distribution?

Accepted Answer

Skewed right

Question 11

Which type of graph is most appropriate for displaying the number of pets owned by each student in a class, as shown in the thirty-sixth image?

Accepted Answer

Dotplot

Question 12

If you want to compare the distribution of a quantitative variable between two groups, which of the following pairs of graphs would be most appropriate?

Accepted Answer

Two stemplots

Question 13

A time-series graph is best used to display:

Accepted Answer

The trend of a variable over time

Question 14

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

Accepted Answer

It is used for quantitative data

Question 15

Given a data set with a minimum value of 10 and a maximum value of 70, and you want to create 6 classes, what is the class width using the formula $$\frac{	ext{max} - 	ext{min}}{\# 	ext{ of classes}}$$?

Accepted Answer

$$\frac{70 - 10}{6} = 10$$

Question 16

Which of the following best describes a uniform distribution as shown in the fourteenth image?

Accepted Answer

All classes have approximately the same frequency

Question 17

Which formula would you use to find the midpoint of a class interval with lower class limit 20 and upper class limit 29?

Accepted Answer

$$\frac{20 + 29}{2}$$

Question 18

Which type of graph would be most appropriate for showing the percentage of ticket types sold at a museum, as in the thirty-fourth image?

Accepted Answer

Pie chart

Question 19

If a frequency polygon shows a peak at the lowest class and a tail to the right, what is the shape of the distribution?

Accepted Answer

Skewed right

Question 20

Which of the following is a key step in constructing a stemplot?

Accepted Answer

List all data values in increasing order and separate each value into a stem and a leaf

Organizing and Summarizing Data: Visualizing Data in Introductory Statistics

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