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FREQUENCY DISTRIBUTION
Page 2


FREQUENCY DISTRIBUTION
INTRODUCTION
• In statistics, a frequency distribution is a table that displays the
frequency of various outcomes in a sample. Each entry in the table
contains the frequency or count of the occurrences of values within
a particular group or interval, and in this way, the table summarizes
the distribution of values in the sample.
• A frequency distribution shows us a summarized grouping of data
divided into mutually exclusive classes and the number of
occurrences in a class. It is a way of showing unorganized data.
e.g. to show results of an election, income of people for a certain
region, sales of a product within a certain period, student loan
amounts of graduates, etc. Some of the graphs that can be used with
frequency distributions are histograms, line charts, bar charts and pie
charts. Frequency distributions are used for both qualitative and
quantitative data.
2
Page 3


FREQUENCY DISTRIBUTION
INTRODUCTION
• In statistics, a frequency distribution is a table that displays the
frequency of various outcomes in a sample. Each entry in the table
contains the frequency or count of the occurrences of values within
a particular group or interval, and in this way, the table summarizes
the distribution of values in the sample.
• A frequency distribution shows us a summarized grouping of data
divided into mutually exclusive classes and the number of
occurrences in a class. It is a way of showing unorganized data.
e.g. to show results of an election, income of people for a certain
region, sales of a product within a certain period, student loan
amounts of graduates, etc. Some of the graphs that can be used with
frequency distributions are histograms, line charts, bar charts and pie
charts. Frequency distributions are used for both qualitative and
quantitative data.
2 3
Page 4


FREQUENCY DISTRIBUTION
INTRODUCTION
• In statistics, a frequency distribution is a table that displays the
frequency of various outcomes in a sample. Each entry in the table
contains the frequency or count of the occurrences of values within
a particular group or interval, and in this way, the table summarizes
the distribution of values in the sample.
• A frequency distribution shows us a summarized grouping of data
divided into mutually exclusive classes and the number of
occurrences in a class. It is a way of showing unorganized data.
e.g. to show results of an election, income of people for a certain
region, sales of a product within a certain period, student loan
amounts of graduates, etc. Some of the graphs that can be used with
frequency distributions are histograms, line charts, bar charts and pie
charts. Frequency distributions are used for both qualitative and
quantitative data.
2 3
Types of frequency distribution
1. Relative frequency distribution
2. Cumulative frequency distribution
- Cumulative relative frequency distribution
4
Page 5


FREQUENCY DISTRIBUTION
INTRODUCTION
• In statistics, a frequency distribution is a table that displays the
frequency of various outcomes in a sample. Each entry in the table
contains the frequency or count of the occurrences of values within
a particular group or interval, and in this way, the table summarizes
the distribution of values in the sample.
• A frequency distribution shows us a summarized grouping of data
divided into mutually exclusive classes and the number of
occurrences in a class. It is a way of showing unorganized data.
e.g. to show results of an election, income of people for a certain
region, sales of a product within a certain period, student loan
amounts of graduates, etc. Some of the graphs that can be used with
frequency distributions are histograms, line charts, bar charts and pie
charts. Frequency distributions are used for both qualitative and
quantitative data.
2 3
Types of frequency distribution
1. Relative frequency distribution
2. Cumulative frequency distribution
- Cumulative relative frequency distribution
4
RELATIVE FREQUENCY
DISTRIBUTION
A frequency distribution where each of the class
frequencies is divided by the total no of observations.
5
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FAQs on PPT - Construction of a Frequency Distribution - Business Mathematics and Statistics - B Com

1. What is a frequency distribution?
Ans. A frequency distribution is a statistical representation that shows the number of occurrences of each value or range of values in a dataset. It helps to organize and summarize data in order to understand the patterns and distribution of the data.
2. How is a frequency distribution constructed?
Ans. To construct a frequency distribution, you need to follow these steps: 1. Determine the range of values in the dataset. 2. Decide on the number of intervals or classes to divide the range into. 3. Calculate the width of each interval by dividing the range by the number of classes. 4. Create the intervals by starting from the minimum value and adding the width to form each subsequent interval. 5. Count the number of data points falling into each interval and record the frequencies. 6. Present the frequencies in a table or graph, typically with the intervals on the x-axis and the frequencies on the y-axis.
3. What is the purpose of constructing a frequency distribution?
Ans. The purpose of constructing a frequency distribution is to provide a clear and concise representation of the distribution of values in a dataset. It helps to identify the most common values, outliers, and patterns within the data. Additionally, it allows for easy comparison between different datasets and facilitates further statistical analysis.
4. How can a frequency distribution be used in data analysis?
Ans. A frequency distribution is a valuable tool in data analysis as it provides insights into the distribution and characteristics of the data. It can be used to: - Identify the central tendency and dispersion of the data. - Detect outliers or unusual values. - Compare and contrast multiple datasets. - Determine the shape and skewness of the distribution. - Make predictions and estimate probabilities based on the frequency of certain values.
5. Are there different types of frequency distributions?
Ans. Yes, there are different types of frequency distributions based on the type of data being analyzed. Some common types include: - Simple frequency distribution: Represents the frequencies of individual values or intervals. - Grouped frequency distribution: Organizes data into groups or intervals for better visual representation. - Cumulative frequency distribution: Shows the accumulation of frequencies up to a certain value or interval. - Relative frequency distribution: Presents the proportion or percentage of frequencies relative to the total number of data points. - Normal frequency distribution: Represents a symmetrical bell-shaped distribution commonly observed in many natural phenomena.
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