Q: If you want to create 5 class intervals for the temperature data above, what is the formula to calculate the class interval width?

$$\frac{\text{Range}}{\text{Number of Classes}}$$

Question 1

Which of the following best describes a summary table for categorical data?

Accepted Answer

A table that displays the frequencies or percentages of items across categories for one categorical variable.

Question 2

A contingency table is most useful for which of the following purposes?

Accepted Answer

Displaying the relationship between two or more categorical variables.

Question 3

Given a dataset of daily high temperatures: 12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58, what is the range of the data?

Accepted Answer

$$58 - 12 = 46$$

Question 4

If you want to create 5 class intervals for the temperature data above, what is the formula to calculate the class interval width?

Accepted Answer

$$\frac{	ext{Range}}{	ext{Number of Classes}}$$

Question 5

Which graphical display is most appropriate for visualizing the distribution of a single numerical variable?

Accepted Answer

Histogram

Question 6

A Pareto chart is used to display which type of data?

Accepted Answer

Categorical data in descending order of frequency

Question 7

In a frequency distribution, what is the relative frequency of a class with 2 observations out of a total of 20?

Accepted Answer

$$\frac{2}{20} = 0.10$$

Question 8

Which of the following is a best practice when constructing data visualizations?

Accepted Answer

Include a title and label all axes.

Question 9

A cumulative percentage polygon (ogive) is used to display:

Accepted Answer

Cumulative percentages of a numerical variable along the Y axis.

Question 10

Which visualization would you use to compare the distribution of meal costs at two different restaurants?

Accepted Answer

Percentage polygon (frequency polygon)

Question 11

A scatter plot is most appropriate for visualizing:

Accepted Answer

The relationship between two numerical variables.

Question 12

Which of the following statements about contingency tables is correct?

Accepted Answer

They can be used to calculate percentages based on overall totals, row totals, or column totals.

Question 13

If a frequency distribution has 5 classes and the data range is 46, what is the class interval width?

Accepted Answer

$$\frac{46}{5} = 9.2$$, round up to 10

Question 14

Which visualization is best for showing patterns in a numerical variable over time?

Accepted Answer

Time-series plot

Question 15

What is the main advantage of using a Pivot Table in Excel for data analysis?

Accepted Answer

It allows interactive summarization and exploration of multidimensional data.

Question 16

Which of the following is NOT a recommended practice for constructing visualizations?

Accepted Answer

Using chartjunk such as unnecessary graphics and 3D effects.

Question 17

In a contingency table, what does calculating percentages based on row totals help you understand?

Accepted Answer

The distribution of categories within each row.

Question 18

Which type of table would you use to organize responses from three or more categorical variables?

Accepted Answer

Multidimensional contingency table

Question 19

What is the purpose of an ordered array in organizing numerical data?

Accepted Answer

To arrange data in rank order from smallest to largest value.

Question 20

Which visualization would be most misleading if the vertical axis does not start at zero?

Accepted Answer

Bar chart

Organizing and Visualizing Variables in Business Statistics

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