ఇచ్చిన సంఖ్యల యొక్క బేధాన్ని కనుగొనండి: 36, 28, 45 మరియు 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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సరాసరి అంటే ఇచ్చిన సంఖ్యల యొక్క సగటు,

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

ప్రతి పదం మరియు సరాసరి మధ్య వ్యత్యాసం యొక్క చతురస్రాల సగటును తీసుకొని బేధం లెక్కించబడుతుంది,

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

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

∴ ఇచ్చిన సంఖ్యల యొక్క బేధం = 76.5
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