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What is the difference between an empirical and a theoretical distribution?

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GinnyAnswer

Final answer:

Empirical distributions come from real-life data, while theoretical distributions are based on predetermined rules. Key differences include source of data, variability, and sample size requirements.


Explanation:

Empirical distributions are calculated from real-life observations, while theoretical distributions are predicted using rules or assumptions. The three significant differences between them are:

  1. Empirical distributions are based on observed data, while theoretical distributions are based on mathematical models.
  2. Empirical distributions may have variability due to randomness in data collection, while theoretical distributions are deterministic and follow a specific mathematical form.
  3. Empirical distributions may require larger sample sizes for accurate representation, while theoretical distributions offer precise mathematical representations.

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