Overview

Meaning of DispersionMethods of measuring Dispersion :A. Method of limit: (i) Range Or Absolute Value: Formula explain R = Range L = Largest/ maximum value S = Smallest/minimum value CR = Coefficient of Range(ii) Inter Quartile Range Inter Quartile Range or limits of middle/ Central 50%(iii) Percentile Range Percentile Range Or Limits of middle / Central 80%B. Method of averaging deviation: (i) Quartile deviation Quartile Deviation Or Semi Inter Quartile Range(ii) Mean deviation: Meaning of Mean DeviationMethod of Calculation of Mean Deviation:Calculation of mean deviation Individual Series: Calculation of mean deviation by direct methodCalculation of mean deviation by Shortcut methodCalculation of mean deviation Discrete SeriesCalculation of mean deviation by direct methodCalculation of mean deviation by Shortcut methodCalculation of mean deviation Continuous SeriesCalculation of mean deviation by direct methodCalculation of mean deviation by Shortcut method(iii) Standard deviation C. Graphic method : (i) Lorenz curveObjective and Importance of Dispersion:1. To Gauge the reliability of an average2. To Serve as a Basis for the control of variability itself3. To Compare two or more series with regard tot their variabilityStandard DeviationMethods of Standard Deviation [ σ ] 1. Direct Method 2. Shortcut Method 3. Step Deviation MethodCalculation of Standard Deviation by Direct MethodCalculation of Standard Deviation by Shortcut MethodCalculation of Standard Deviation by Step Deviation MethodVarianceCoefficient of VariationMeaning of SkewnessDifference between Dispersion and SkewnessMethods of measuring skewness:Karl Pearson's co-efficient of skewness In DetailsBowley's coefficient of skewness In DetailsProf. King. co-efficient of skewness In DetailsProf. Kelley co-efficient of skewness In Details

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