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একটি স্বাভাবিক বিভাজনের জন্য, নীচের কোনটি সঠিক?

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SSC CGL JSO Tier-II, 2018 (Statistics) Official Paper-III (Held On: 14 Sept, 2019)
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  1. গড় ≠ মধ্যমা = মোড
  2. গড় = মধ্যমা = মোড
  3. গড় = মধ্যমা ≠ মোড
  4. গড় = মোড ≠ মোড

Answer (Detailed Solution Below)

Option 2 : গড় = মধ্যমা = মোড
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Detailed Solution

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গণনা

সাধারন বিভাজন = একটি স্বাভাবিক বিভাজন একটি সম্পূর্ণ প্রতিসম আকৃতির সাথে আসে যার অর্থ বিভাজন বক্ররেখা দুটি সমান অর্ধেক তৈরি করতে মাঝখানে বিভক্ত হতে পারে।

স্বাভাবিক বিভাজন ফাংশন দ্বারা চিহ্নিত করা হয়

f(x) = সম্ভাব্যতা ঘনত্ব ফাংশন

σ = মানক বিচ্যুতি

μ = গড়

স্বাভাবিক বিভাজনে কেন্দ্রের প্রতিসাম্য এবং এতে গড় = মধ্যমা = মোড = μ

∴ গড় = মধ্যমা = মোড = μ স্বাভাবিক বিভাজন

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