दी गई संख्याओं में प्रसरण ज्ञात कीजिए: 36, 28, 45, और 51

  1. 63.5
  2. 68.5
  3. 71.5
  4. 76.5

Answer (Detailed Solution Below)

Option 4 : 76.5
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Detailed Solution

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माध्य दी गई संख्याओं का औसत होता है,

⇒ माध्य = (36 + 28 + 45 + 51)/4 = 160/4 = 40

प्रसरण की गणना प्रत्येक पद और माध्य के बीच के अंतर के वर्गों का औसत लेकर की जाती है,

⇒ प्रसरण = [(36 - 40)2 + (28 - 40)2 + (45 - 40)2 + (51 - 40)2]/4

= [16 + 144 + 25 + 121]/4 = 306/4 = 76.5

∴ दी गई संख्याओं में प्रसरण = 76.5
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