$$\text{Relative Frequency} = \frac{\text{Frequency}}{\text{Total Number of Observations}}$$

Question 1

Which of the following best describes a frequency distribution?

Accepted Answer

A summary of a set of data that displays the number of observations in each of the distribution’s distinct categories or classes.

Question 2

What is the formula for calculating relative frequency?

Accepted Answer

$$	ext{Relative Frequency} = \frac{	ext{Frequency}}{	ext{Total Number of Observations}}$$

Question 3

A company records the number of defective products produced each day for a month. What type of data is this?

Accepted Answer

Discrete data

Question 4

Which of the following is TRUE about mutually exclusive events?

Accepted Answer

They cannot happen at the same time.

Question 5

When constructing a frequency distribution for continuous data, what is the recommended range for the number of classes?

Accepted Answer

Between 5 and 20

Question 6

Given a dataset with a maximum value of 90 and a minimum value of 10, and you want to create 8 classes, what is the minimum class width?

Accepted Answer

$$\frac{90 - 10}{8} = 10$$

Question 7

Which type of chart is most appropriate for displaying the proportion of sales by product category in a retail store?

Accepted Answer

Pie chart

Question 8

A histogram is used to display which of the following characteristics of data?

Accepted Answer

Center, spread, and shape

Question 9

Which statement about frequency histograms is correct?

Accepted Answer

There are no gaps between bars.

Question 10

If you want to summarize the number of students who scored less than or equal to a certain grade in a class, which distribution would you use?

Accepted Answer

Cumulative frequency distribution

Question 11

Which of the following is a key requirement when constructing classes for a frequency distribution?

Accepted Answer

Each class must have equal width.

Question 12

A joint frequency table is used to:

Accepted Answer

Count the number of joint occurrences at each row and column level for all combinations of variables.

Question 13

Which chart would be most appropriate to show the relationship between advertising budget and sales revenue?

Accepted Answer

Scatter diagram

Question 14

If a frequency distribution is all-inclusive, what does this mean?

Accepted Answer

All possible data points are included, leaving nothing out.

Question 15

Which of the following is NOT a characteristic of categorical data?

Accepted Answer

It can be displayed using stem and leaf diagrams.

Question 16

A cumulative relative frequency distribution always equals what value at the upper limit of the last class?

Accepted Answer

$$1 or$$ $$100\%$$

Question 17

Which of the following best describes quantitative data?

Accepted Answer

Data that can be measured and expressed numerically.

Question 18

A business analyst wants to compare the frequency of customer complaints across five departments. Which chart should they use?

Accepted Answer

Bar chart

Question 19

Which step is NOT part of constructing a frequency distribution for discrete data?

Accepted Answer

Determine the class boundaries for each class.

Question 20

If a histogram of exam scores is skewed to the right, what does this indicate about the distribution of scores?

Accepted Answer

Most students scored lower, with a few high scores.

Describing Data: Graphs, Charts, and Tables

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