Asked by Khizar Rehman on Sep 23, 2024
Verified
Chebysheff's Theorem states that the percentage of observations in a data set that should fall within five standard deviations of their mean is at least 96%.
Chebysheff's Theorem
A statistical theorem that provides a minimum probability for how much data falls within a certain number of standard deviations from the mean, applicable for any data distribution.
Standard Deviations
A measure of the amount of variation or dispersion of a set of values, indicating how much the values differ from the mean of the set.
- Acquire knowledge on the notion and implementation of Chebysheff's Theorem.
Verified Answer
DB
Dhruvi Bhatt6 days ago
Final Answer :
True
Explanation :
Chebysheff's Theorem states that regardless of the shape of the distribution, at least 1 - (1/k^2) of the observations in a data set will fall within k standard deviations of the mean. When k=5, 1 - (1/5^2) = 96%, so at least 96% of the observations will fall within five standard deviations of the mean.
Learning Objectives
- Acquire knowledge on the notion and implementation of Chebysheff's Theorem.