Drawing the Frequency Table

Oct 13, 2025 by thesweetdesigns.com 148 views

Introduction

In statistics, a frequency table is a table that displays the number of times each value in a dataset occurs. It is a useful tool for understanding the distribution of data and identifying patterns or trends. In this article, we will learn how to draw a frequency table for the given hours.

Understanding the Data

The given data consists of a list of hours: $${ 0, 14, 7, 10, 3, 5, 21, 5, 12, 5, 10, 2 }$$. This data represents the number of hours in a day.

Drawing the Frequency Table

To draw a frequency table, we need to count the number of times each value occurs in the dataset. We will then use this information to create a table that displays the frequency of each value.

Step 1: Count the Frequency of Each Value

Let's count the frequency of each value in the dataset:

0: 1 time
2: 1 time
3: 1 time
5: 3 times
7: 1 time
10: 2 times
12: 1 time
14: 1 time
21: 1 time

Step 2: Create the Frequency Table

Now that we have counted the frequency of each value, we can create the frequency table.

Hour	Frequency
0	1
2	1
3	1
5	3
7	1
10	2
12	1
14	1
21	1

Interpretation of the Frequency Table

The frequency table shows that the most common hour is 5, which occurs 3 times. The least common hours are 0, 2, 3, 7, 12, 14, and 21, each of which occurs only once.

Conclusion

In this article, we learned how to draw a frequency table for the given hours. We counted the frequency of each value in the dataset and created a table that displays the frequency of each value. The frequency table is a useful tool for understanding the distribution of data and identifying patterns or trends.

Real-World Applications

Frequency tables have many real-world applications. For example, in business, a frequency table can be used to analyze customer purchasing habits. In medicine, a frequency table can be used to analyze the distribution of symptoms in a patient population. In sports, a frequency table can be used to analyze the distribution of scores in a game.

Mathematical Concepts

The concept of frequency tables is closely related to several mathematical concepts, including:

Statistics: Frequency tables are a fundamental tool in statistics, which is the study of the collection, analysis, interpretation, presentation, and organization of data.
Probability: Frequency tables can be used to estimate probabilities, which is the study of the likelihood of events occurring.
Data Analysis: Frequency tables are a key tool in data analysis, which is the process of examining data sets to draw conclusions about the information they contain.

Conclusion

Introduction

In our previous article, we learned how to draw a frequency table for the given hours. In this article, we will answer some frequently asked questions (FAQs) about drawing a frequency table.

Q: What is a frequency table?

A: A frequency table is a table that displays the number of times each value in a dataset occurs. It is a useful tool for understanding the distribution of data and identifying patterns or trends.

Q: Why is a frequency table important?

A: A frequency table is important because it helps us to understand the distribution of data and identify patterns or trends. It is a fundamental tool in statistics and has many real-world applications.

Q: How do I draw a frequency table?

A: To draw a frequency table, you need to count the number of times each value occurs in the dataset. You can then use this information to create a table that displays the frequency of each value.

Q: What are the steps to draw a frequency table?

A: The steps to draw a frequency table are:

Count the frequency of each value in the dataset.
Create a table that displays the frequency of each value.

Q: What are some common mistakes to avoid when drawing a frequency table?

A: Some common mistakes to avoid when drawing a frequency table include:

Not counting the frequency of each value correctly.
Not creating a table that displays the frequency of each value.
Not using a clear and concise format for the table.

Q: How do I interpret a frequency table?

A: To interpret a frequency table, you need to look at the frequency of each value and identify any patterns or trends. You can also use the frequency table to estimate probabilities and make predictions about future data.

Q: What are some real-world applications of frequency tables?

A: Some real-world applications of frequency tables include:

Analyzing customer purchasing habits in business.
Analyzing the distribution of symptoms in a patient population in medicine.
Analyzing the distribution of scores in a game in sports.

Q: What are some mathematical concepts related to frequency tables?

A: Some mathematical concepts related to frequency tables include:

Statistics: Frequency tables are a fundamental tool in statistics.
Probability: Frequency tables can be used to estimate probabilities.
Data Analysis: Frequency tables are a key tool in data analysis.

Conclusion

In conclusion, drawing a frequency table is a useful tool for understanding the distribution of data and identifying patterns or trends. By answering some frequently asked questions (FAQs) about drawing a frequency table, we can gain a deeper understanding of the concept and its applications.

Additional Resources

For more information about drawing a frequency table, you can refer to the following resources:

Q: What is the difference between a frequency table and a histogram?

A: A frequency table and a histogram are both used to display the distribution of data, but they are presented in different ways. A frequency table displays the frequency of each value, while a histogram displays the distribution of data using bars.

Q: Can I use a frequency table to analyze categorical data?

A: Yes, you can use a frequency table to analyze categorical data. However, you will need to use a different type of frequency table, such as a contingency table.

Q: How do I create a contingency table?

A: To create a contingency table, you need to count the frequency of each category in the dataset. You can then use this information to create a table that displays the frequency of each category.

Q: What are some common mistakes to avoid when creating a contingency table?

A: Some common mistakes to avoid when creating a contingency table include:

Not counting the frequency of each category correctly.
Not creating a table that displays the frequency of each category.
Not using a clear and concise format for the table.