## Distinguish between population and sample.

### In statistics, there is a distinction between population and sample

In statistics, there is a distinction between population and sample. Let’s define each term:

1. Population: A population refers to the entire set of individuals, objects, or events that researchers are interested in studying. It includes every potential member of a group with certain characteristics or attributes. For example, if researchers want to study the average height of all adults in a country, the population would consist of every adult in that country.

2. Sample: A sample, on the other hand, is a subset or a smaller representation of the population. It is a selected portion of the population that is chosen to represent the entire population accurately. The process of selecting this subset is called sampling. Researchers use sampling techniques to gather data from a smaller group when studying a population might be impractical or time-consuming.

Here are some key differences between population and sample:

1. Size: The population is typically larger than the sample. It encompasses all individuals or elements of interest, while a sample is a smaller subset.

2. Representativeness: The goal of sampling is to select a sample that is representative of the population. A representative sample should reflect the characteristics of the entire population accurately. However, there is always a chance of sampling error, which means the sample may not perfectly represent the entire population.

3. Feasibility: Collecting data from an entire population might be time-consuming, costly, or even impossible in some cases. Sampling allows researchers to gather information efficiently by studying a smaller group without compromising the accuracy of the results.

4. Data analysis: Researchers can analyze data from the sample to make inferences about the population as a whole. Statistical methods are used to estimate population parameters based on the information gathered from the sample.

To conclude, the population refers to the complete set of individuals or elements of interest, while a sample is a smaller group selected from the population to gather representative data more efficiently.

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