Asked by Academic Research on Jul 12, 2024
Verified
While Chebysheff's Theorem applies to any distribution,regardless of shape,the Empirical Rule applies only to distributions that are bell shaped.
Chebysheff's Theorem
A statistical rule stating that for any dataset, regardless of distribution, a certain proportion of values will fall within a specified number of standard deviations from the mean.
Empirical Rule
A statistical rule stating that for a normal distribution, nearly all data will fall within three standard deviations of the mean.
Distribution
Refers to the way in which values in a dataset are spread out or distributed.
- Differentiate between Chebysheff's Theorem and the Empirical Rule.
Verified Answer
HO
Hannah OberlanderJul 18, 2024
Final Answer :
True
Explanation :
Chebysheff's Theorem is a general theorem that applies to any distribution, while the Empirical Rule only applies to bell-shaped distributions. Therefore, the statement is true.
Learning Objectives
- Differentiate between Chebysheff's Theorem and the Empirical Rule.