औसत A से माध्य विचलन न्यूनतम होगा, यदि A ______ निरूपित करता है।

This question was previously asked in
SSC CGL JSO Tier-II, 2018 (Statistics) Official Paper-III (Held On: 14 Sept, 2019)
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  1. माध्यिका
  2. हरात्मक माध्य
  3. बहुलक
  4. समांतर माध्य

Answer (Detailed Solution Below)

Option 1 : माध्यिका
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Detailed Solution

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व्याख्या:

एक औसत से माध्य विचलन = MDX

⇒ MDX = 1/N(∑xi – A), A औसत है

⇒ माध्यिका से माध्य विचलन = MDmed

⇒ MDmed = 1/n(xi – Md)

एक मध्यस्थ बिंदु के संबंध में औसत विचलन उस समय न्यूनतम होता है, जब बिंदु माध्यिका होती है।

माध्य विचलन गुणांक = MDX/x̅, जहां x̅ समांतर माध्य है

माध्य विचलन गुणांक MDmed/Mपर आधारित होता है

∴ MDmed/Md = न्यूनतम(MDx/x̅ 

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