Q: In a frequency distribution, how is the class interval (width) calculated?

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

Question 1

Which of the following best describes a contingency table?

Accepted Answer

A table that cross-tabulates the responses of two or more categorical variables to study patterns between them.

Question 2

A manufacturer records the daily high temperatures for 20 winter days: 15, 17, 21, 24, 37, 26, 46, 58, 30, 32, 13, 12, 38, 41, 43, 44, 27, 53, 27, 35. What is the range of this data set?

Accepted Answer

$$58 - 12 = 46$$

Question 3

Which graphical display is most appropriate for visualizing the relationship between two numerical variables?

Accepted Answer

Scatter plot

Question 4

In a frequency distribution, how is the class interval (width) calculated?

Accepted Answer

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

Question 5

Which of the following is NOT a reason to use a frequency distribution?

Accepted Answer

To display the relationship between two categorical variables

Question 6

A Pareto chart is used to:

Accepted Answer

Portray categorical data in descending order of frequency and highlight the 'vital few' causes

Question 7

If a summary table shows that 37% of young adults shop online for better prices, what type of variable is being summarized?

Accepted Answer

Categorical variable

Question 8

Which chart is best suited for displaying the percentage breakdown of a single categorical variable?

Accepted Answer

Pie chart

Question 9

Given the following frequency distribution for exam scores: Class 1 (50-59): 3 students, Class 2 (60-69): 6 students, Class 3 (70-79): 5 students, Class 4 (80-89): 4 students, what is the cumulative frequency for Class 3?

Accepted Answer

$$3 + 6 + 5 = 14$$

Question 10

Which of the following statements about histograms is TRUE?

Accepted Answer

Histograms display numerical data and have no gaps between adjacent bars.

Question 11

A time-series plot is most useful for:

Accepted Answer

Studying patterns in the values of a numeric variable over time

Question 12

Which of the following is a key principle of properly presenting graphs?

Accepted Answer

Ensure that the graph accurately represents the data and is easy to interpret

Question 13

A stem-and-leaf display is most similar to which other graphical method?

Accepted Answer

Histogram

Question 14

In a contingency table, the rows typically represent:

Accepted Answer

One of the categorical variables

Question 15

If a frequency distribution has a class interval width of 10 and the lowest value is 12, what are the boundaries for the first three classes?

Accepted Answer

Class 1: 12 to less than 22; Class 2: 22 to less than 32; Class 3: 32 to less than 42

Question 16

Which of the following best describes relative frequency?

Accepted Answer

The number of times a specific event occurs divided by the total number of trials, expressed as a fraction, decimal, or percentage

Question 17

A side-by-side bar chart is most useful for:

Accepted Answer

Comparing the frequencies of two categorical variables from a contingency table

Question 18

If you want to identify outliers in a data set, which method would be most helpful?

Accepted Answer

Ordered array

Question 19

Which of the following is TRUE about the Pareto principle in business statistics?

Accepted Answer

It helps separate the 'vital few' causes from the 'trivial many' in categorical data.

Question 20

A company wants to visualize the monthly sales revenue over the past 5 years. Which graphical display should they use?

Accepted Answer

Time-series plot

Organizing and Visualizing Variables in Business Statistics

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