Formula

2. Geometric mean `= root (n)( x_1 xx x_2 xx x_3 xx ... xx x_n )`

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Examples
1. Find Geometric mean for data `4,16`

Solution:
GM `=sqrt(x_1 xx x_2)`

`=sqrt(4 xx 16)`

`=sqrt(64)`

`=8`

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2. Find Geometric mean for data `2,4,8`

Solution:
GM `=root (3)(x_1 xx x_2 xx x_3)`

`=root (3)(2 xx 4 xx 8)`

`=root (3)(64)`

`=4`

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3. Find Geometric mean for data `4,8,16`

Solution:
GM `=root (3)(x_1 xx x_2 xx x_3)`

`=root (3)(4 xx 8 xx 16)`

`=root (3)(512)`

`=8`

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4. Find Geometric mean for data `1,2,8,16`

Solution:
GM `=root (4)(x_1 xx x_2 xx x_3 xx x_4)`

`=root (4)(1 xx 2 xx 8 xx 16)`

`=root (4)(256)`

`=4`

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5. Find Geometric mean for data `1,3,9,27,81`

Solution:
GM `=root (5)(x_1 xx x_2 xx x_3 xx x_4 xx x_5)`

`=root (5)(1 xx 3 xx 9 xx 27 xx 81)`

`=root (5)(59049)`

`=9`

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6. Find Geometric mean for data `1,4,16,64`

Solution:
GM `=root (4)(x_1 xx x_2 xx x_3 xx x_4)`

`=root (4)(1 xx 4 xx 16 xx 64)`

`=root (4)(4096)`

`=8`

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