Q106: Geometric mean of two observations can be calculated if — - Agricultural Engineering & Agricultural Statistics - RPSC Agriculture Officer 2014

Geography, Natural Resources & Socio-Economic Development of Rajasthan Agronomy & Soil Science Horticulture (Fruit Science, Olericulture, Floriculture, Spices/MAPs & PHT) Cytogenetics, Genetics, Plant Breeding & Seed Science Plant Biochemistry, Biotechnology & Crop Physiology Animal Husbandry, Livestock Production, Nutrition & Health Plant Pathology, Disease Management & Mushroom Production Entomology, Pest Management & Beneficial Insects Agricultural Engineering & Agricultural Statistics Agricultural Economics, Marketing, Finance & Farm Management Agricultural Extension Education & Communication

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RPSC Agriculture Officer 2014

MCQ (Single Correct) +3 −1

Geometric mean of two observations can be calculated if —

दो प्रेक्षणों का गुणोत्तर माध्य ज्ञात किया जा सकता है यदि —

Both the observations are positive दोनों प्रेक्षण धनात्मक हों One of them is positive उनमें से एक धनात्मक हो One of the two observations is zero दोनों में से एक प्रेक्षण शून्य हो Both of them are zero दोनों शून्य हों

The Geometric Mean (GM) of two observations a and b is given by:
\[ \text{GM} = \sqrt{a \times b} \]
If either observation is zero, the product becomes zero (GM = 0), making it uninformative. If one observation is positive and the other is negative, the product is negative (ab < 0), resulting in an imaginary square root.
For the geometric mean to yield a valid, real, and non-zero value, both observations must be strictly positive.
Therefore, the geometric mean can be calculated if Both the observations are positive (Option 1).

दो संख्याओं a और b का गुणोत्तर माध्य (Geometric Mean) निम्न सूत्र द्वारा निकाला जाता है:
\[ \text{GM} = \sqrt{a \times b} \]
यदि दोनों में से कोई भी एक संख्या शून्य हो जाए तो GM शून्य हो जाता है; और यदि एक संख्या ऋणात्मक हो तो वर्गमूल के अंदर ऋणात्मक संख्या आने से मान काल्पनिक (अवास्तविक) हो जाता है।
अतः वास्तविक और सार्थक गुणोत्तर माध्य निकालने के लिए अनिवार्य शर्त यह है कि दोनों संख्याएं धनात्मक (Positive) होनी चाहिए।
इसलिए गुणोत्तर माध्य तभी ज्ञात किया जा सकता है जब 'दोनों प्रेक्षण धनात्मक हों' (विकल्प 1)।

Explanation not matching this question? क्या व्याख्या इस प्रश्न से मेल नहीं खा रही? Report Mismatch त्रुटि बताएं

Geography, Natural Resources & Socio-Economic Development of Rajasthan 1
Agronomy & Soil Science 32
Horticulture (Fruit Science, Olericulture, Floriculture, Spices/MAPs & PHT) 12
Cytogenetics, Genetics, Plant Breeding & Seed Science 8
Plant Biochemistry, Biotechnology & Crop Physiology 6
Animal Husbandry, Livestock Production, Nutrition & Health 17
Plant Pathology, Disease Management & Mushroom Production 8
Entomology, Pest Management & Beneficial Insects 5
Agricultural Engineering & Agricultural Statistics 11
Agricultural Economics, Marketing, Finance & Farm Management 11
Agricultural Extension Education & Communication 9

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Q106: Geometric mean of two observations can be calculated if — - Agricultural Engineering & Agricultural Statistics - RPSC Agriculture Officer 2014 | Agrigyan

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