अवलोकनों x1, x2, x3, … xn का ज्यामितीय माध्य Gहै। अवलोकनों y1, y2, y3,… yn का ज्यामितीय माध्य Gहै। अवलोकनों  का ज्यामितीय माध्य क्या है?

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NDA (Held On: 16 Dec 2015) Maths Previous Year paper
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  1. G1G2
  2. In(G1G2)

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Option 3 :
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धारणा:

ज्यामितीय माध्य =

जहाँ a1,a2…..an दिए गए पद हैं।

 

गणना:

अवलोकनों x1, x2, x3, … xn का ज्यामितीय माध्य Gहै।

∴ G1 = (x1 x2 x3 … xn)(1/n)      …. (1)

उसी प्रकार,

G2 = (y1 y2 y3 … yn)(1/n)        …. (2)

अब अवलोकनों  का ज्यामितीय माध्य है

=

=

         ((1) और (2) से)

 

इसलिए, विकल्प (3) सही है

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