Contemporary Business Statistics Chapter 2 Part A Quiz

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Questions and Answers

What is the primary objective of a frequency distribution?

To create a bar chart

To summarize quantitative data

To provide insights about the original data (correct)

To present relative frequency distribution

In a frequency distribution, what does each class represent?

It represents the frequency of items falling within a specific range (correct)

It represents the mean of the data

It represents the total number of items in the data

It represents the relative frequency

What type of data is summarized using a frequency distribution?

Categorical data (correct)

Continuous data

Quantitative data

Ordinal data

What visual representation is commonly used with a frequency distribution?

Histogram Signup and view all the answers

What does a relative frequency distribution show?

The percentage of total frequencies in each class Signup and view all the answers

In a pie chart representing a frequency distribution, what does each segment of the pie represent?

The relative frequency of each class Signup and view all the answers

What is the most frequent rating given by the sample of 20 guests?

Above Average Signup and view all the answers

What is the least frequent rating given by the sample of 20 guests?

Excellent Signup and view all the answers

What is the total number of data items belonging to the 'Average' class?

5 Signup and view all the answers

What is the relative frequency of the 'Below Average' class?

$\frac{3}{20}$ Signup and view all the answers

What is the percent frequency of the 'Poor' class?

5% Signup and view all the answers

In constructing a frequency distribution, what function can be used in Excel to count the occurrences of each rating?

=COUNTIF Signup and view all the answers

What is the total frequency of all the ratings combined?

20 Signup and view all the answers

'Relative frequency distribution' is a tabular summary showing what for each class?

$\frac{Frequency} {Total}$ for each class Signup and view all the answers

'Percent frequency distribution' is a tabular summary showing what for each class?

$\frac{Frequency} {100}$ for each class Signup and view all the answers

'Relative Frequency and Percent Frequency Distributions' are examples pertaining to which inn's ratings?

$0.10$ Poor, $0.15$ Below Average, $0.25$ Average, $0.45$ Above Average, $0.10$ Excellent Signup and view all the answers

Study Notes

Frequency Distribution

The primary objective of a frequency distribution is to summarize and organize data into classes, displaying the number of occurrences of each class.

Classes in a Frequency Distribution

Each class in a frequency distribution represents a range of values or a category of data.

Type of Data

A frequency distribution is used to summarize categorical or numerical data that is divided into classes or categories.

Visual Representation

A frequency distribution is commonly represented visually using a histogram or bar chart.

Relative Frequency Distribution

A relative frequency distribution shows the proportion of each class to the total number of data items.

Pie Chart Representation

In a pie chart representing a frequency distribution, each segment of the pie represents the proportion of each class in the data.

Frequency Distribution Example

The most frequent rating given by a sample of 20 guests is the rating with the highest frequency.
The least frequent rating given by a sample of 20 guests is the rating with the lowest frequency.
The total number of data items belonging to the 'Average' class is the frequency of the 'Average' class.
The relative frequency of the 'Below Average' class is the proportion of the 'Below Average' class to the total number of data items.
The percent frequency of the 'Poor' class is the proportion of the 'Poor' class to the total number of data items, expressed as a percentage.

Constructing a Frequency Distribution in Excel

The COUNTIF function can be used in Excel to count the occurrences of each rating in a frequency distribution.

Frequency Distribution Properties

The total frequency of all the ratings combined is the sum of the frequencies of each class.
A relative frequency distribution is a tabular summary showing the proportion of each class to the total number of data items.
A percent frequency distribution is a tabular summary showing the proportion of each class to the total number of data items, expressed as a percentage.
Relative Frequency and Percent Frequency Distributions are examples of summaries used to analyze the ratings of an inn.

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Description

Test your knowledge of descriptive statistics, tabular and graphical presentations, and summarizing categorical and quantitative data from Chapter 2, Part A of 'Contemporary Business Statistics' by Williams, Sweeney, and Anderson.