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