निम्नलिखित आँकड़ों के लिए माध्य के सापेक्ष माध्य विचलन निर्धारित करें :

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19

This question was previously asked in
MP Excise Constable Official Paper (Held On: 21 Feb 2023 Shift 2)
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  1. 5
  2. 2
  3. 6
  4. 7

Answer (Detailed Solution Below)

Option 1 : 5
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MP Excise Constable General Knowledge (Mock Test)
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दिया है:

आँकड़े: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19

अवधारणा:

माध्य: यह दिए गए अवलोकन का औसत है। माना x1, x2, …, xn n प्रेक्षण हैं, तब

माध्य =

माध्य विचलन: मान लीजिए x1, x2, …, xn n प्रेक्षण हैं, तब:

गणना:

= 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 = 210

माध्य = 10.5

⇒ X̅ = 10.5

= 8.5 + 6.5 + 4.5 + 2.5 + 0.5 + 1.5 + 3.5 + 5.5 + 7.5 + 9.5 + 9.5 + 7.5 + 5.5 + 3.5 + 1.5 + 0.5 + 2.5 + 4.5 + 6.5 + 8.5 = 100

= 5

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