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Question

# The geometric mean of the observations x1,x2,x3,.......xn is G1. The geometric mean of the observations y1,y2,y3,.....yn is G2. The geometric mean of observations x1y1,x2y2,x3y3,......xnyn is

A
G1G2
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B
ln(G1G2)
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C
G1G2
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D
ln(G1G2)
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Solution

## The correct option is C G1G2Solution:Given;Geometric mean of x1,x2,x3,............xn is G1.⟹G1=(x1x2x3......xn)1nGeometric mean of y1,y2,y3,............yn is G2.⟹G2=(y1y2y3......yn)1n∴GM of x1y1,x2y2,x3y3,..............xnyn=(x1y1x2y2x3y3..............xnyn)1n=(x1x2x3............xn)1n(y1y2y3..............yn)1n=G1G2Hence, C is the correct option.

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