दिए गए आंकड़े के लिए माध्यिका के सापेक्ष माध्य विचलन क्या है?

52, 56, 66, 70, 75, 80, 82:

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. 9
  2. 7
  3. 3
  4. 6

Answer (Detailed Solution Below)

Option 1 : 9
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प्रयुक्त सूत्र

माध्यिका के सापेक्ष माध्य विचलन = 

जहाँ, 

xi = एकल पद

M = माध्यिका

n = पदों की कुल संख्या

गणना:

52, 56, 66, 70, 75, 80, 82

माध्यिका = 70

⇒  M = 70

⇒ (xi - M) का मान है

⇒ -18, -14, -4, 0, 5, 10, 12

⇒ माध्य विचलन = 

∴ माध्यिका के सापेक्ष माध्य विचलन 9 हैI

Important Points

माध्य एक आंकड़े के समूह का औसत होता है।

माध्यिका संख्याओं के समूह का माध्य होती है।

माध्य के सापेक्ष माध्य विचलन 

 जहाँ x̅ = माध्य

xi = एकल पद

n = पदों की कुल संख्या

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