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Measures of Dispersion (Range in detail) Video Lecture | Mathematics for GRE Paper II

258 videos|200 docs|166 tests

FAQs on Measures of Dispersion (Range in detail) Video Lecture - Mathematics for GRE Paper II

1. What is the range in statistics?
The range in statistics is a measure of dispersion that represents the difference between the largest and the smallest values in a dataset. It provides information about the spread or variability of the data.
2. How is the range calculated?
To calculate the range, you subtract the smallest value from the largest value in a dataset. For example, if you have a dataset of {5, 8, 10, 12, 15}, the range would be 15 - 5 = 10.
3. What are the limitations of using the range as a measure of dispersion?
The range has a few limitations as a measure of dispersion. Firstly, it only considers the extreme values and ignores the rest of the data, which can lead to incomplete information about the spread. Secondly, it is highly influenced by outliers, meaning that a few extreme values can greatly affect the range. Lastly, it does not provide any insight into the distribution of values within the dataset.
4. When is the range useful to analyze data?
The range is useful in situations where you want a quick and simple measure of dispersion. It can be helpful in comparing the variability between two or more datasets, especially when the data is not normally distributed. Additionally, the range can be used to identify potential outliers or extreme values in a dataset.
5. Can the range be used for categorical data?
No, the range is not applicable for categorical data. The range represents the difference between the largest and smallest values, which is not meaningful for categories. The range is only suitable for numerical data where the concept of magnitude and difference between values exists.
258 videos|200 docs|166 tests
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