Range (statistics)
Range (statistics)
The range in statistics is a measure of dispersion, that is, it describes the spread or the variability of the data set. It is the difference between the highest and the lowest values in a data set.
Pronunciation
- /reɪndʒ/
Etymology
The term 'range' in statistics is derived from the English word 'range' which means 'extent' or 'scope'. It was first used in the field of statistics in the late 19th century.
Definition
In statistics, the range is calculated by subtracting the smallest value (also known as the minimum) from the largest value (also known as the maximum) in the data set. It is a simple measure of dispersion and does not require any complex calculations. However, it is sensitive to outliers or extreme values in the data set.
Formula
The formula for calculating the range in statistics is:
Range = Maximum value - Minimum value
Related Terms
- Dispersion: A measure of how spread out the values in a data set are.
- Variance: Another measure of dispersion in a data set. It is the average of the squared differences from the mean.
- Standard Deviation: The square root of the variance. It is a measure of the amount of variation or dispersion of a set of values.
- Interquartile Range: The range of the middle 50% of the values in a data set, calculated by subtracting the first quartile from the third quartile.
- Outlier: A value in a data set that is significantly different from the other values.
See Also
External links
- Medical encyclopedia article on Range (statistics)
- Wikipedia's article - Range (statistics)
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