Geometric mean of first group of 5 observations is 8 and that of second group of 4 observations is 1282. Then, grouped geometric mean is.

Geometric mean of first group of 5 observations is 8 and that of second group of 4 observations is 1282. Then, grouped geometric mean is.

  1. A

    64

  2. B

    322

  3. C

    32

  4. D

    None of these

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    Solution:

    Suppose that, G1 is the GM of first 5 observations = 8 and G2 is the GM of last 4 observations = 1282 Also, let G be the grouped mean

    =G1n1×G2n29=G1n1×G2n29=G15×G241/9=85×(1282)41/9=235×27+1241/9=215×2301/9=2459=25=32

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