Geometric mean of 10 observations is 8. If geometric mean of first six observations is 4, then geometric mean of last four observations is

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162

None of these

answer is A.

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Detailed Solution

We are given, here geometric mean of 10 observations is 8 and geometric mean of first six observations is 4, then we have to find the geometric mean of last four observations. Let G be the GM of last four observations. ∴ By using grouped geometric mean, i.e., 810=46×G4⇒G4=81046=230212=218⇒G=218/4=242=162

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