Question
Download Solution PDFThe geometric mean of a set of observations is computed as 10. The geometric mean obtained when each observations xi is replaced by \(\rm 3x_i^4\) is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
If GM of series xi = a, then
- GM of λxi = λa
- GM of \(\rm {x_i}^n\) = an
Calculation:
Given GM of xi = 10
Then GM of \(\rm {x_i}^4\) = 104 = 10000
Now GM of \(\rm 3{x_i}^4\) = 3 × 10000 = 30000
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