21, 34, 23, 39, 26, 37, 40, 20, 33, 27 के माध्य विचलन गुणांक (माध्य से लिया गया) क्या है?

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NDA 01/2022: Maths Previous Year paper (Held On 10 April 2022)
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  1. 0.11
  2. 0.22
  3. 0.33
  4. 0.44

Answer (Detailed Solution Below)

Option 2 : 0.22
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Detailed Solution

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संकल्पना:

माध्य से माध्य विचलन =  

माध्य विचलन का गुणांक = 

जहां N प्रेक्षण की संख्या है

x̅ आंकड़ों का माध्य है

x प्रेक्षण का मान है।

गणना:

⇒ x̅ = 

 माध्य से विचलन का योग Σ∣xi​ − x̅∣ द्वारा दिया जाता है

⇒ Σ∣xi​ − x̅∣ = ∣21 − 30 + ∣34 − 30∣ + ∣23 − 30∣ + ∣39 − 30∣ + ∣26 − 30∣ + ∣37 − 30∣ + ∣40 − 30∣ + ∣20 − 30∣ + ∣33 − 30∣ + ∣27 − 30∣

⇒ Σ∣xi​ − x̅∣ = 9 + 4 + 7 + 9 + 4 + 7 + 10 + 10 + 3 + 3

⇒ Σ∣xi​ − x̅∣ = 66
माध्य से माध्य विचलन =  =  ​= 6.6
माध्य विचलन का गुणांक =  = 0.22

∴ माध्य विचलन का गुणांक = 0.22

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