Inferential statistics uses data from a small group to make generalizations or inferences about a larger group of people. Inferential statistics should be used with "inferences".
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inferential statistics
Inferential statistics are used in situations where it can be assumed that random behaviour(s), subject to the mathematical laws of probability, must be taken into account.
Not necessarily. Inferential statistics are statistics which are used in making inferences about some distribution. The only requirement is that they are based only on the set of observed values.
Inferential statistics
Inferential statistics is not required in a census because a census aims to collect data from every individual in a population, leaving no room for sampling error or uncertainty. The goal of a census is to provide an accurate count or measurement of a specific characteristic within a population, making the need for statistical inference unnecessary. In contrast, inferential statistics is used when data is collected from a sample of a population, and the goal is to make predictions or inferences about the larger population based on that sample.