Asked by Alexis Smith on Apr 24, 2024
Verified
If two data sets have the same standard deviation,they must have the same coefficient of variation.
Standard Deviation
A measure of the amount of variation or dispersion of a set of values; a high standard deviation indicates that the values are spread out over a wider range.
Coefficient Of Variation
The coefficient of variation is a standardized measure of dispersion of a probability distribution or frequency distribution, expressed as a percentage of the mean.
- Learn the relationship that exists between standard deviation, variance, and the base units of measurement.
- Identify the distinctions between Chebysheff's Theorem and the Empirical Rule.
Verified Answer
FD
Fernanda De lira8 days ago
Final Answer :
False
Explanation :
The coefficient of variation is calculated as the ratio of the standard deviation to the mean. Therefore, two data sets can have the same standard deviation but different means, resulting in different coefficients of variation.
Learning Objectives
- Learn the relationship that exists between standard deviation, variance, and the base units of measurement.
- Identify the distinctions between Chebysheff's Theorem and the Empirical Rule.