Statistics XI


   
 
Summary
  • The mean deviation (M.D) of a statistical data is defined as the arithmetic mean of the numerical values of the deviations of the items from some average.
 
  • For an individual series,
 
         
 
  • For a frequency distribution,
 
         
 
 
  • If M.D is calculated about mean, then it is written as M.D (x).
 
       
 
  • The standard deviation of a statistical data is defined as the positive square root of the A.M of the squared deviations of items from the A.M. of the series under consideration.
 
  • For an individual series,
 
         
 
  • For a frequency distribution,
 
          
 
         
 
  • Variance = (S.D.)2
 
  • Coefficient of variation (C.V)
 
  • Let  s1 and s2 be the S.D of the two groups containing n1 and n2 items respectively. Let and be their respective A.M. Let x and s be the A.M and S.D of the combined group respectively.
 
 
 
     
   
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