Question

Define the following statistic related words

Sample

Population

Answer 1

Certainly! Here are the definitions for "sample" and "population" in the context of statistics:

### Sample
A **sample** is a subset of individuals or observations selected from a larger group, known as the population. Samples are used in statistical analyses to estimate characteristics or parameters of the population as a whole. By examining a sample, researchers can draw conclusions and make inferences about the population without needing to collect data from every member, which can be impractical or impossible.

### Population
A **population** refers to the entire group of individuals or observations that share a common characteristic or set of characteristics. In statistics, the population is the complete set from which a sample may be drawn for analysis. Populations can be finite (e.g., all the registered voters in a city) or infinite (e.g., the number of times a fair coin is flipped). The parameters calculated from a population (like the population mean or standard deviation) are often represented by Greek letters, while statistics calculated from a sample (like the sample mean or standard deviation) are typically represented by Roman letters.

### Summary
- **Population:** The entire group of interest in a statistical study.
- **Sample:** A smaller group taken from the population for analysis.

Both concepts are fundamental in inferential statistics, which seeks to make conclusions about a population based on sample data.