21, 34, 23, 39, 26, 37, 40, 20, 33, 27 (গড় থেকে নেওয়া) এর গড় বিচ্যুতির সহগ কত?

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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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ধারণা:

গড় থেকে গড় বিচ্যুতি =  

গড় বিচ্যুতির সহগ =

যেখানে N হল পর্যবেক্ষণের সংখ্যা

x̅ হল তথ্যের গড়

x হল পর্যবেক্ষণের মান।

গণনা:

⇒ x̅ =

গড় থেকে বিচ্যুতির যোগফল Σ∣x i— x̅∣ দ্বারা দেওয়া হয়,

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

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

⇒ Σ∣x i​ − x̅∣ = 66
গড় থেকে গড় বিচ্যুতি = = ​= 6.6
গড় বিচ্যুতির সহগ = = 0.22

গড় বিচ্যুতির সহগ = 0.22

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