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
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
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.
