Range and Quartile
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Co-efficient of range is calculated by the formulaMarks:1
(L - S)/(L + S)
To compare the variability of two or more distributions given in different units of measurement, co-efficient of range is used. It is obtained by applying the formula,
Co-efficient of range = (L - S)/(L + S)
Inter-quartile range equalsMarks:1
Inter-quartile range is based upon middle 50% of the values in a distribution. Therefore, Q3 - Q1 is the formula used to calculate inter-quartile range.
Quartile deviation is equal toMarks:1
(Q3 - Q1)/ 2
Quartile deviation refers to the midpoint of the inter-quartile range. It is an absolute measure of dispersion.
It is obtained by the formula,
Q.D = (Q3 - Q1)/2
Coefficient of quartile deviation, with Q1 = 20 and Q3 = 60 is equal toMarks:1
Coefficient of Quartile Deviation = (Q3 - Q1)/ (Q3 + Q1) = (60 - 20)/ (60 + 20) = 40/80 = 0.5
The co-efficient of range, with the smallest value of a series at 20 and the largest value at 30, equalsMarks:1
Coefficient of Range = (L- S) / (L + S) = (30 - 20) / (30 + 20) = 0.2