Suppose a 12 -year-old asked you to explain the difference...

Suppose a 12 -year-old asked you to explain the difference between a statistic and a parameter.
a. What information should your answer include?
b. What reasons would you give him or her for why one would report the value of a statistic instead of the value of a parameter?

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Key Concepts

Statistic

A statistic is a numerical value calculated from sample data, which is a portion of the entire population. It is used to summarize or describe an aspect of the data collected and serves as an estimate for a parameter when the full population information is unavailable.

Parameter

A parameter is a numerical value that describes a characteristic of an entire population. Unlike statistics, which are derived from samples, parameters target the whole group and are usually not directly observable because gathering data from every member of the population is often impractical.

Sampling

Sampling is the process of selecting a smaller, manageable subset of individuals or items from a larger population. This method allows statisticians to make inferences about the entire population by analyzing the collected data, which results in statistics that can approximate parameters.

Estimation

Estimation involves using the statistic derived from a sample to infer the corresponding parameter of the population. Since it is usually too difficult or costly to measure an entire population, reporting the statistic provides a practical approach to understanding population characteristics, even though there may be some degree of uncertainty or error.

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