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Q.

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.

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a

64

b

322

c

32

d

None of these

answer is C.

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Detailed 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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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.