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What describes a random sample?

  1. A sample that includes only selected individuals

  2. A survey given to anyone available

  3. A technique for deep observation of a single subject

  4. A sample representing a population where each member has an equal chance of inclusion

The correct answer is: A sample representing a population where each member has an equal chance of inclusion

A random sample is a subset of a larger population that is chosen through a process that ensures every member of the population has an equal chance of being included in the sample. This is important because it helps to reduce bias and ensure that the sample is representative of the entire population. Option A is incorrect because a selected sample would not be random, as certain individuals would be purposely chosen. Option B is incorrect because a survey given to anyone available may not accurately represent the population and could introduce bias. Option C is incorrect because deep observation of a single subject does not involve sampling and cannot be considered a random sample. Therefore, option D is the only choice that accurately describes a random sample.