Two possible observations have arithmetic mean 3 and geometric mean 22.If each observation is multiplied by 2, then harmonic mean will be

# Two possible observations have arithmetic mean 3 and geometric mean $2\sqrt{2}$.If each observation is multiplied by 2, then harmonic mean will be

1. A

$\frac{16}{3}$

2. B

$\frac{8}{3}$

3. C

12

4. D

None of these

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### Solution:

Since, we know that

Also, given here that, if each observation is multiplied
by 2, then $\mathrm{HM}=\frac{8}{3}×2=\frac{16}{3}$

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