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Mean of Composite Groups - University of Toronto Scarborough by 7xS3ef

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									     Mean of Composite Groups

GM = the mean of all groups in total
K = the number of groups
yij = the ith score in the jth group
Ýj = the mean of the jth group
Nj = the number of scores in the jth group
Given that y j and         nj       : we can recover     y
                                                          ij



           y
    yj   
            nj
                 ij
                                     y  ij    nj y j

Given all y j and all n j :
  Total ( yij )   yi 1   yi 2... yi k

                  ni 1y1 ni 2 y1 ...ni 1yk

                     n   j   yj
Thus:


        GM 
             n y
               j       j

             n    j

								
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