sample distribution
Noun: 1. A set of items or data points selected from a larger population, used to make inferences about that population. In statistics, it refers to the collection of observations or measurements obtained from a subset of a population. The characteristics of this subset (like its mean or standard deviation) are used to estimate the corresponding characteristics of the entire population.
The term "sample distribution" is used in statistical analysis and research methodology. It describes the specific data collected from a sample, which is then analyzed to draw conclusions about the population from which the sample was drawn. * The researcher analyzed the sample distribution of household incomes to estimate the average income for the entire city. * Before proceeding with the hypothesis test, we must first examine the shape and spread of the sample distribution.
- Sampling Distribution: A critical related concept is the "sampling distribution," which is different. A refers to the probability distribution of a statistic (like the sample mean) obtained from a large number of samples drawn from the same population. It describes how that statistic would vary from sample to sample.
- Example: The Central Limit Theorem describes the shape of the sampling distribution of the mean.
- Sample (n): The subset of individuals or items selected from the population.
- Example: We collected a random sample of 100 voters.
- Population (n): The entire group about which information is desired.
- Example: The study aimed to generalize findings to the entire adult population.
- Distribution (n): In statistics, the way in which values of a variable are spread or arranged.
- Example: The data followed a normal distribution.
- Sample data
- Observed distribution
- Empirical distribution
- Random sample: A sample where every member of the population has an equal chance of being selected.
- Example: To ensure fairness, the survey used a random sample of citizens.
- Sample statistic: A numerical measure that describes a characteristic of the sample (e.g., sample mean, sample proportion).
- Example: The sample statistic (the average) was calculated from the sample distribution.
- items selected at random from a population and used to test hypotheses about the population