Asked by Alondra Reyes on Sep 23, 2024
Verified
According to Chebysheff's Theorem,at least 93.75% of observations should fall within 4 standard deviations of the mean.
Chebysheff's Theorem
A theorem that provides a minimum proportion of observations that lie within a specified number of standard deviations from the mean, applicable to all distributions.
Standard Deviations
A measure that indicates the amount of variation or dispersion from the average in a set of data.
- Familiarize oneself with the theory and practical use of Chebysheff's Theorem.
Verified Answer
HH
Hamizul Hisam6 days ago
Final Answer :
True
Explanation :
Chebysheff's theorem states that for any data set, regardless of distribution, at least 1 - 1/k^2 of the data will fall within k standard deviations of the mean. Therefore, for k = 2, at least 75% of observations will fall within 2 standard deviations of the mean, for k = 3, at least 88.89% of observations will fall within 3 standard deviations of the mean, and for k = 4, at least 93.75% of observations will fall within 4 standard deviations of the mean.
Learning Objectives
- Familiarize oneself with the theory and practical use of Chebysheff's Theorem.
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