Question

If the geometric mean of three observations $40,50$ and $x$ is $10$, then the value of $x$ is

• A. $\frac{1}{2}$
• B. $4$
• C. $6$
• D. $2$

Answer 1

The correct option is A $\frac{1}{2}$

Geometric mean observations$=40,50,x$

$=>\sqrt[3]{340\times 50\times x}=10$

$=>40\times 50\times x=(10{)}^3$

$=>x=\frac{1000}{40\times 50}=\frac{1}{2}$