Range
The range is the difference between two extreme observations of the distribution.
In case of batsman A, Range \(=117-0=117\) and for batsman B, Range \(=60-46=14\). Clearly, Range of A \(>\) Range of B. Therefore, the scores are scattered or dispersed in case of \(A\) while for \(B\) these are close to each other.
Thus, Range of a series \(=\) Maximum value – Minimum value.
The range of data gives us a rough idea of variability or scatter but does not tell about the dispersion of the data from a measure of central tendency. For this purpose, we need some other measure of variability. Clearly, such measure must depend upon the difference (or deviation) of the values from the central tendency.
The important measures of dispersion, which depend upon the deviations of the observations from a central tendency are mean deviation and standard deviation. Let us discuss them in detail in next section.
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