10 Examples of Simple Random Sampling

The simple random sampling is a method of selecting a statistical sample in which all the elements of a population have an equal chance of being included.

Sampling is a technique used in statistics that allows determining how individuals will be selected. that will make up a sample, that is, a representative part of a population that will be used to make a study or a analysis.

Simple random sampling is a type of probability sampling, because it allows specifying the probability that the elements have of being included in the sample.

In the case of simple random sampling, all individuals have the same probability of being selected, because it is a procedure that is performed randomly using balls, charts or computer programs specials.

This sampling has advantages, for example, it has a high level of representativeness in large populations and, therefore, allows inferences or generalizations about large groups.

But it also has disadvantages, for example, it is a slower process than others, because it must be done a list of all elements of the population and has more margin of error than other types of sampling.

Simple Random Sampling Steps

To do a simple random sampling, the following steps must be followed:

Types of simple random sampling

There are two types of simple random sampling:

Simple Random Sampling Examples

1. A government wants to study the average income per household. To perform the sample, the research team follows the steps of simple random sampling:

• All families living in Mexico City are selected.
• It is determined that 1,000 items will be needed to make the sample.
• A list of the 2,756,319 families that live in Mexico City is drawn up.
• Each family is assigned a number starting with 1 up to 2,756,319.
• 1,000 numbers are chosen at random using a computer program, for example, 4,258, 102,548, and 167.

1. A group of researchers wants to carry out a survey on the work of university professors in Spain. To perform the sample, the steps of simple random sampling are followed:

• All university professors in the country are selected.
• It is determined that of 122,910 university professors, 385 individuals will be needed to prepare the sample.
• A list of all Spanish teachers is drawn up.
• Each teacher is assigned a number starting with 1.
• 385 numbers are chosen at random using a statistical table, for example: 1,345, 20,672 and 118,456.

1. A group of researchers is studying the professionalization of women's sports. To perform the sample, the steps of simple random sampling are followed:

• All women who dedicate themselves professionally to a sport are selected.
• It is determined that of the 4,567 professional athletes, 355 individuals will be needed to prepare the sample.
• A list of all professional athletes is drawn up.
• Each one is assigned a number starting with 1.
• 355 numbers are chosen at random using a statistical table, for example, 654, 2,549, and 318.

1. A marketing team is conducting a study on consumer preferences. To select the individuals that will make up the sample, the steps of simple random sampling are followed:

• Regular customers of a shopping center are selected as the target population.
• It is determined that of the 2,375 regular customers, 330 individuals will be needed to compile the sample.
• A list of all clients is made.
• Each one is assigned a number.
• 330 numbers are chosen at random with a computer program, for example, 354, 298, and 1,568.

1. A group of researchers will study the opinion of law students about the career. To select the sample, researchers follow the steps of simple random sampling:

• Law students from 10 universities are selected as the target population.
• It is determined that of 16,453 students, 270 students will be needed to make the sample.
• A list of all law students is made.
• Each one is assigned a number.
• 270 numbers are chosen at random with a sampling frame, for example, 59, 798, and 11,245.

1. A consulting company will conduct a survey on the preference of candidates for president. To carry out the representative sample, the steps of simple random sampling are followed:

• All the inhabitants of the country are selected as the target population.
• It is determined that of the 31,938,382 inhabitants, 5,000 individuals will be needed to prepare the sample.
• A list of all the inhabitants of the country is made.
• Each one is assigned a number.
• 5,000 numbers are chosen at random with a statistical program, for example, 1,245,873, 12,457, and 924,455.

1. An environmental NGO will carry out a study on the knowledge that the population of a region has about climate change. To prepare the statistical sample, the steps of simple random sampling are followed:

• All the inhabitants of a region are selected as a population.
• It is determined that of the 153,248 inhabitants, 700 individuals will be needed to carry out the sample.
• A list of all the inhabitants of that region is made.
• Each one is assigned a number.
• 700 numbers are chosen at random with a statistical table, for example, 93,249, 12,567 and 4,265.

1. A newspaper will carry out a survey to measure the degree of acceptance that recent economic measures have in a city. To carry out the statistical sample, the steps of simple random sampling are followed:

• All inhabitants over 18 years of age in that city are selected as the target population.
• It is determined that of the 2,500,000 inhabitants, 1,500 individuals will be needed to prepare the sample.
• A list is made of all the inhabitants over 18 years of age in the city.
• Each one is assigned a number.
• 1,500 numbers are chosen at random with a statistical program, for example, 754, 5,654, and 1,256,478.

1. A telephone company is studying the opinion of customers about the service. To carry out the statistical sample, the steps of simple random sampling must be followed:

• All the company's customers are selected as the target population.
• It is determined that of the 10,000,000 clients, 800 individuals will be needed to compile the sample.
• A list of all clients is made.
• Each one is assigned a number.
• 800 numbers are chosen at random with a computer program, for example, 1,457,264, 56,735, and 4,598,265.

1. Some communication students have to carry out a study on the use of social networks. To prepare the representative sample, the steps of simple random sampling are followed:

• All the inhabitants between 18 and 60 years of age in a city are selected as the target population.
• It is determined that of the 3,541,214 inhabitants who meet this condition, 2,500 individuals will be needed to prepare the sample.
• A list of all individuals is made.
• Each one is assigned a number.
• 2,500 numbers are chosen at random with a statistical table, for example, 453, 2,548 and 2,658,348.

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