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RANGE AND COEFFICIENT OF RANGE

RANGE is a measure of how spread out a set of data is. It is calculated by subtracting the smallest value in a dataset from the largest value.


COEFFICIENT OF RANGE is a normalized measure of variability that is independent of the unit of measurement. It is calculated by dividing the range by the mean of the dataset.


For example, in a study on blood pressure, the systolic blood pressure (the top number) of a group of patients may be measured and the following values are obtained: {120, 125, 130, 135, 140, 145}. The RANGE of this data set is 145 - 120 = 25. This tells us that the difference between the highest and lowest values in the dataset is 25.

COEFFICIENT OF RANGE can also be calculated by dividing the range by the mean of the dataset. In this example, the mean systolic blood pressure is (120+125+130+135+140+145)/6 = 132.5, and the coefficient of range is 25/132.5 = 0.1881 or 18.81%. This tells us that the variability in the systolic blood pressure of the patients is 18.81% of the mean systolic blood pressure.



COEFFICIENT OF VARIATION (CV) is calculated as (Standard deviation / Mean) x 100. It is often used in comparative studies of measurement methods, it can be used to compare the measurement variation of different instruments or methods.