BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon1137 Learners

Last updated on June 18th, 2025

Math Whiteboard Illustration

Methods of Sampling

Professor Greenline Explaining Math Concepts

The various sampling methods we use to collect data for different types of samples in statistical analysis are known as sampling methods. We use different methods to select an accurate sample from the population for analysis. In this topic, we will discuss the sampling method, its types, applications, and differences.

Methods of Sampling for UAE Students
Professor Greenline from BrightChamps

What is Sampling?

Sampling is the technique used in statistical analysis to pick out the number of observations from a larger population. It helps the researcher to use a small group of people from a larger population, if the sample is not precise, then it can result in inaccurate results. It is used in the fields of statistics, psychology research, sales, and the financial industry.

 

To get a conclusion about populations from sample research, researchers use sampling. Sampling is required to select a sample from a large population, as the size of a sample is small, it is more practical than analysis of the entire population. 

Struggling with Math?

Get 1:1 Coaching to Boost Grades Fast !

curious child
Professor Greenline from BrightChamps

What are the types of sampling

Now, let’s learn about the types of sampling that can be classified into probability sampling and non-probability sampling. We will now learn what probability sampling and non-probability sampling are and their types.

 

 

Probability sampling  Non-probability sampling
Simple Random Sampling Convenience Sampling
Cluster Sampling Judgmental or Purposive Sampling
Systematic Sampling Snowball Sampling
Stratified Random Sampling Quota Sampling
Professor Greenline from BrightChamps

Probability Sampling

Here, the samples are randomly selected from the data set. Each entity of such a population has an equal chance of being selected to be part of the sample. The types of probability sampling are:

 

 

  • Simple Random Sampling 
     
  • Cluster Sampling 
     
  • Systematic Sampling 
     
  • Stratified Random Sampling 
     
Professor Greenline from BrightChamps

Simple Random Sampling

When the members of the population have an equal chance of being selected, it is known as simple random sampling. It is purely based on chance. It is the most direct method of probability sampling.

Professor Greenline from BrightChamps

Systematic Sampling

In this type of sampling, the population is given a number, and the first individual is selected randomly, and the other is selected from the fixed intervals. 
 

Professor Greenline from BrightChamps

Stratified Random Sampling

Here, the population is divided into subgroups based on traits such as age, gender, category, and so on. And from each group, we select samples.

Professor Greenline from BrightChamps

Cluster Sampling

In this type of sampling, the population is divided into subgroups, which are known as clusters. The sample is selected from each cluster or group, not from the population. 

Professor Greenline from BrightChamps

Non - Probability Sampling

In this method, the samples are selected based on certain criteria; it is a non-random sampling technique. The types:

 

 

  • Convenience Sampling

     
  • Quota Sampling

     
  • Judgment Sampling 

     
  • Snowball sampling 

 
Convenience Sampling


In this method, the data collection is dependent on their ease of access. Here, the sampling is used when initial data needs to be collected inexpensively. 

 

 

Quota Sampling


In this sampling method, the data is collected based on the predetermined characteristics of the population. In quota sampling, the sample cannot be the best representation of the characteristics of the population.  

 

 

Judgment Sampling 


Here, the sample is selected based on the judgment of the experts. The experts choose who to ask to participate. It is also known as selective sampling. 

 

 

Snowball sampling 


Here, a few people are asked to nominate more people known to them, so the sample size increases. And it rotates like a snowball. 
 

Professor Greenline from BrightChamps

What are the steps for Sampling

Now let’s learn the step-by-step process of sampling.  

 

 

Step 1: Identify and define the target population 


In this step, the researcher will identify and define the target population. 

 

 

Step 2: Selection of sample frame


In this step, the researcher will do the sampling frame, that is, they will create a list of people or items of the population from which the sample is taken.

 

 

Step 3: Selecting the sample method


Here, based on the type of population, the researcher will decide on the sampling method such as probability sampling or non-probability sampling, and so on. 

 

 

Step 4: Choosing the sample size


We decide the sample size based on the population, that is, the sample size should be able to make inferences about the population. 

 

 

Step 5: Collecting the data

 

After all these processes we will have a perfect sample for the research, that is now we are left with only collecting data. 
 

Professor Greenline from BrightChamps

Difference between population vs. sample

Do you know what is the difference between population and sample? If not let’s learn it together, here are the differences between population and sample
 

Population  Sample
Population is the group about which the conclusion is drawn  The sample is a specific group from the population that we use for data collection
It is about every unit of the group It is only about the small units of the population
Use to understand a group of people It is a sample of the survey

 

Professor Greenline from BrightChamps

What are the Advantages and Disadvantages of Data Sampling Methods

Now let’s learn about the advantages and disadvantages of data sampling methods

Sampling Method Advantages Disadvantages
Random Sampling
  • It is the unbiased  representation of the population
  • It helps in the generalization of the population
  • It requires a complete list of the population member 
  • It cannot be practical for a large population
Stratified Sampling
  • It helps with the analysis of the subgroups 
  • It can reduce the sampling error and increase the precision
  • Miss out on the variability present in the population
Cluster Sampling
  • Cost-effective for large groups and geographically
  • It reduces the logistical challenges
  • It requires accurate clustering information
  • It can increase sampling error

 

Professor Greenline from BrightChamps

Real-world applications of Sampling

In various fields we use sampling to collect information from an entire population. Let’s discuss a few real-world applications.

 

 

  • In marketing we use sampling to conduct research on market trends, customer preferences, purchase behavior and so on. 

     
  • Researchers use sampling techniques to study about the nature and pollution level

     
  • In factories random sampling methods are used to inspect the small batch of products to identify the defect products.

     
  • To improve the curriculum and teaching methods, student feedback surveys are used.
     
Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Sampling

While collecting data students tend to make some mistakes, most mistakes occur while sampling. Now let’s learn a few mistakes and ways to avoid them in sampling. 

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Using a small sample size

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

If  a small sample size is used it can lead to wrong conclusions and unreliable results. So it is important to calculate the required sample size for a better understanding of the sample. 

Mistake 2

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Using the wrong method of sampling

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

For each research question and the type of population, there are different types of sampling methods. Sometimes students use inappropriate methods of sampling. So students should understand the type of research question and the type of population before choosing the sample method. 
 

Mistake 3

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

 Using an old sampling frame

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Using an old sampling frame will not reflect the current population, which can lead to coverage errors. So it is significant to regularly update the sampling frame for getting the latest information. 
 

Mistake 4

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Errors while data entry
 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Errors in data entry while collecting information can lead to error in conclusion. So it is essential to recheck the data entry and do the quality control audits on the data. 
 

Mistake 5

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Surveying only easily accessible subjects 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

When doing surveys that relies on easily accessible subjects can lead to biased results. So it is essential to select the right population and sampling method.

arrow-right

Level Up with a Math Certification!

2X Faster Learning (Grades 1-12)

curious child
Max from BrightChamps Saying "Hey"

Solved Examples of Sampling

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

A school wants to survey student satisfaction. There are 1,000 students, but the school selects 100 students randomly. What type of sampling is used?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

 The sampling method used is simple random sampling

Explanation

Here, each of the students has an equal chance of being selected from the population. The students are selected randomly, so it is a simple random sampling.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

A company has 500 employees divided into five departments. The management selects 20 employees from each department for feedback. What sampling method is this?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

 The sampling method used is stratified sampling
 

Explanation

 The employees are first divided into subgroups, and then a fixed number of employees are chosen from each subgroup. Moreover, each department has an equal number of employees, so it is a stratified sampling

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

A supermarket wants to analyze customer feedback. They decide to survey every 10th customer who enters the store. What sampling technique is used?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The sampling method used is systematic sampling
 

Explanation

The customers are selected using a fixed interval, so it is systematic sampling as it has a structured approach to selection. 
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

A company posts an online survey on social media and collects responses from volunteers. What sampling technique is being used?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The sampling method used is voluntary response sampling
 

Explanation

Here are the individuals who voluntarily decide to participate. So, it is a voluntary response sampling. 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

A government agency wants to study farming practices across different villages. They randomly select 10 villages and survey all farmers in those villages. What sampling method is used?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The sampling method used is cluster sampling
 

Explanation

Villages are considered clusters. The government agency randomly selects a set of clusters and surveys every farmer within those selected clusters, so it is a cluster sampling 
 

Max from BrightChamps Praising Clear Math Explanations

Turn your child into a math star!

#1 Math Hack Schools Won't Teach!

curious child
Ray Thinking Deeply About Math Problems

FAQs on Sampling

1.What is sampling in research?

Math FAQ Answers Dropdown Arrow

2.What are the main types of sampling?

Math FAQ Answers Dropdown Arrow

3.What are the common probability sampling methods?

Math FAQ Answers Dropdown Arrow

4.What are the common non-probability sampling methods?

Math FAQ Answers Dropdown Arrow

5.What is non-probability sampling?

Math FAQ Answers Dropdown Arrow

Struggling with Math?

Get 1:1 Coaching to Boost Grades Fast !

curious child
Math Teacher Background Image
Math Teacher Image

Jaipreet Kour Wazir

About the Author

Jaipreet Kour Wazir is a data wizard with over 5 years of expertise in simplifying complex data concepts. From crunching numbers to crafting insightful visualizations, she turns raw data into compelling stories. Her journey from analytics to education ref

Max, the Girl Character from BrightChamps

Fun Fact

: She compares datasets to puzzle games—the more you play with them, the clearer the picture becomes!

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom