v संख्याओं का औसत w2 है और w संख्याओं का औसत v2 है। तो सभी संख्याओं का औसत कितना होगा?

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SSC Selection Post 2024 (Matriculation Level) Official Paper (Held On: 20 Jun, 2024 Shift 4)
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  1. vw2
  2. v + w
  3. vw
  4. v2 + w2

Answer (Detailed Solution Below)

Option 3 : vw
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दिया गया है:

v संख्याओं का औसत w2 है और w संख्याओं का औसत v2 है।

प्रयुक्त सूत्र:

सभी संख्याओं का औसत =

गणना:

v संख्याओं का योग = v × w2

w संख्याओं का योग = w × v2

कुल योग = v × w2 + w × v2

संख्याओं की कुल संख्या = v + w

⇒ सभी संख्याओं का औसत =

⇒ सभी संख्याओं का औसत =

⇒ सभी संख्याओं का औसत = vw

∴ सही उत्तर विकल्प (3) है।

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