RANGE NADEEM UDDIN ASSOCIATE PROFESSOR OF STATISTICS https://www.slideshare.net/NadeemUddin17 https://nadeemstats.wordpress.com/listofbooks/
Absolute Measure of Dispersion: G ives an idea about the amount of dispersion/spread in a set of observations. These quantities measures the dispersion in the same units as the units of original data. Absolute measures cannot be used to compare the variation of two or more series/ data set. A measure of absolute dispersion does not in itself, tell whether the variation is large or small. Relative Measure of Dispersion: Relative measures are not expressed in units but it is a pure number. It is useful for compairing two or more sets of data.
Range: The range is the simplest measure of dispersion; it is the difference between the maximum and the minimum values in a data set. Range = Maximum Value − Minimum Value. Coefficient of Range
Example-1: The marks obtained by 10 students are given below 36, 45, 32, 50, 41, 39, 49, 32, 46, 38 find (a) Range (b) Co-efficient of dispersion Solution: R = Max.Value – Min.Value = 50 – 32 = 18 marks (b) Co-efficient of dispersion
Example-2: Find range and coefficient of Dispersion. C.B F 4 – 8 5 8 – 12 10 12 – 16 15 16 – 20 8 20 – 24 6 Solution: R = U.C.B of last interval – L.C.B of first interval R = 24 – 4 = 20 Coefficient of dispersion