Property 3. (Mean of the composite series ). If xi (i = 1, 2,..., k ) are the means of k component series of sizes n¡ , ( i =1, 2,...., k ) respectively, then the mean x of the composik series obtained on combining the component series is given by the formula : k 111 x1 +12 X2+ n, + N2 + ... + nk ... N¡ X¡ i=1 Ni i=1 %3D

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Property 3. (Mean of the composite series ). If X; i = 1, 2,..., k ) are the means of k
component series of sizes ni , ( i = 1, 2,..., k ) respectively, then the mean x of the composite
series obtained on combining the component series is given by the formula :
%3D
k
k
1, X1 + N2 X2 + .. + ng Ix
n1 + N2 + ... + Nk
+ Nx Xk
N¡ X; /
%3D
Nj
%3D
i=1
i=1
18
Transcribed Image Text:Property 3. (Mean of the composite series ). If X; i = 1, 2,..., k ) are the means of k component series of sizes ni , ( i = 1, 2,..., k ) respectively, then the mean x of the composite series obtained on combining the component series is given by the formula : %3D k k 1, X1 + N2 X2 + .. + ng Ix n1 + N2 + ... + Nk + Nx Xk N¡ X; / %3D Nj %3D i=1 i=1 18
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