GRE Exam > GRE Videos > Mathematics for GRE Paper II > Analysis of Frequency Distributions(Coefficient of Variation)
Analysis of Frequency Distributions(Coefficient of Variation) Video Lecture | Mathematics for GRE Paper II
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FAQs on Analysis of Frequency Distributions(Coefficient of Variation) Video Lecture - Mathematics for GRE Paper II
| 1. What is a frequency distribution? |  |
Ans. A frequency distribution is a table or graph that shows the frequency or number of times each value or range of values occurs in a dataset. It provides a summary of the distribution of values and helps analyze patterns or trends within the data.
| 2. How is the coefficient of variation calculated? | |
Ans. The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation of a dataset by its mean, and then multiplying by 100 to express it as a percentage. The formula for CV is: CV = (standard deviation / mean) * 100.
| 3. What does the coefficient of variation indicate? | |
Ans. The coefficient of variation indicates the relative variability or dispersion of a dataset compared to its mean. It is often used to compare the variability of different datasets that have different units of measurement or means. A lower CV suggests less variability, while a higher CV indicates greater variability.
| 4. How can the coefficient of variation be interpreted? | |
Ans. The coefficient of variation can be interpreted as a measure of the relative risk associated with the variability of a dataset. A lower CV indicates a lower risk or volatility, while a higher CV suggests a higher risk or volatility. It is commonly used in finance, economics, and quality control to assess the stability or consistency of data.
| 5. Can the coefficient of variation be negative? | |
Ans. No, the coefficient of variation cannot be negative. It is always a non-negative value since both the standard deviation and mean are non-negative. If the standard deviation is zero (indicating no variability), the coefficient of variation is also zero.
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Dec 23, 2024 Last updated |
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