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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class11  >>  Statistics
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Find the geometric mean of 5 numbers 2, 8, 16, 128, 512

$\begin {array} {1 1} (A)\;2 & \quad (B)\;2^{\large\frac{24}{5}} \\ (C)\;2^{\large\frac{4}{5}} & \quad (D)\;None\: of \: these \end {array}$

 

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Ans : (B)
Geometric mean = $ ( 2 \times 8 \times 16 \times 128 \times 512 )^{\large\frac{1}{5}}$
$ = ( 2^1 \times 2^3 \times 2^4 \times 2^7 \times 2^9) ^{\large\frac{1}{5}}$
$ = (2^{1+3+4+7+9})^{\large\frac{1}{5}}$
$ = 2^{\large\frac{24}{5}}$
answered Jan 24, 2014 by thanvigandhi_1
 

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