यदि क्रमशः G1, G2, G3, ……………, Gr के ज्यामितीय माध्य के साथ G.M के r सेट के प्रेक्षणों का गुणनफल G है तो G का मान ज्ञात कीजिए।  

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RRC Group D Previous Paper 33 (Held On: 3 Oct 2018 Shift 2)
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  1. logG1 + logG2 + … logGr
  2. G1. G2 …… Gr
  3. G1 + G2 + ….. + Gr
  4. logG1. logG2 ….. logGr

Answer (Detailed Solution Below)

Option 2 : G1. G2 …… Gr
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अवधारणा

ज्यामितीय माध्य: वह मान जो संख्याओं के सम्मुच्य के मानों के गुणनफल का उपयोग करके केंद्रीय प्रवृत्ति को इंगित करता है।

सूत्र: GM = (सम्मुच्य में सभी संख्याओं का गुणनफल)1/n

जहां, n = सम्मुच्य में कुल संख्या

उदाहरण : 2, 3, 4, 5

GM = (2 × 3 × 4 × 5)1/4 = (120)1/4

गणना:

G = G1 × G2 × G3 ……………….. × Gr

 

 

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