If G is the GM of the product of r sets of observations with geometric means G1,G2,…,Gr respectively, then G is equal to

If G is the GM of the product of r sets of observations with geometric means G1,G2,,Gr respectively, then G is equal to

  1. A

    logG1+logG2++logGr

  2. B

    G1G2Gr

  3. C

    logG1logG2logGr

  4. D

    none of these

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    Solution:

    Taking X as the product of varieties X1,X2,,Xr corresponding tor sets of observations i. e. X=X1X2Xr we have

    logX=logX1+logX2+logXr logX=logX1+logX2++logXr 1nlogX=1nlogX1+1nlogX2++1nlogXr logG=logG1+logG2++logGr G=G1G2Gr.

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