A parameter is a numerical value that describes a population, while a statistic is a numerical value that describes a sample.
In statistics, a population refers to the entire group of individuals, objects, or events that we are interested in studying. For example, if we want to study the average height of all adults in a country, the population would be all adults in that country.
A parameter is a characteristic or numerical value that describes a population. It is typically represented by Greek letters, such as μ (mu) for the population mean or σ (sigma) for the population standard deviation. Parameters are often unknown and are estimated using sample statistics.
On the other hand, a sample is a subset of the population that is selected for study. It is often not feasible or practical to collect data from an entire population, so we select a smaller group, or sample, to represent the population. For example, if we want to study the average height of adults in a country, we might select a random sample of 100 adults.
A statistic is a characteristic or numerical value that describes a sample. It is typically represented by Roman letters, such as x̄ (x-bar) for the sample mean or s for the sample standard deviation. Statistics are calculated from the data collected in the sample and are used to estimate the corresponding parameters of the population.
In summary, a parameter describes a population, while a statistic describes a sample. Parameters are typically unknown and estimated using sample statistics.
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