Dispersion and Skewness

Learn Dispersion and Skewness In Advance

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Description

Meaning of Dispersion

Methods 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 Deviation

Method of Calculation of Mean Deviation :


Calculation of mean deviation Individual Series :

Calculation of mean deviation by direct method

Calculation of mean deviation by Shortcut method


Calculation of mean deviation Discrete Series

Calculation of mean deviation by direct method

Calculation of mean deviation by Shortcut method


Calculation of mean deviation Continuous Series

Calculation of mean deviation by direct method

Calculation of mean deviation by Shortcut method

(iii) Standard deviation


C. Graphic method  :

(i) Lorenz curve

Objective and Importance of Dispersion :

1. To Gauge the reliability of an average

2. To Serve as a Basis for the control of variability itself

3. To Compare two or more series with regard tot their variability


Standard Deviation

Methods of Standard Deviation [ σ ]

1. Direct Method

2. Shortcut Method

3. Step Deviation Method

Calculation of Standard Deviation by Direct Method

Calculation of Standard Deviation by Shortcut Method

Calculation of Standard Deviation by Step Deviation Method

Variance

Coefficient of Variation


Meaning of Skewness

Difference between Dispersion and Skewness

Methods of measuring skewness :

Karl Pearson’s co-efficient of skewness In Details

Bowley’s coefficient of skewness In Details

Prof. King. co-efficient of skewness In Details

Prof. Kelley co-efficient of skewness In Details


What You Will Learn!

  • Meaning of Dispersion
  • Objective and Importance of Dispersion
  • Methods of measuring dispersion
  • Range
  • Inter Quartile Range
  • Percentile Range
  • Quartile Deviation
  • Mean Deviation
  • Standard Deviation
  • Methods of Measurements of Standard Deviation
  • Direct Method, Shortcut Method, Step Deviation Method
  • Variance
  • Coefficient of Variation

Who Should Attend!

  • Any Student who pursuing in B,com M,com BBA MBA 11th & 12th Commerce C.A. C.S. and C.M.A.