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సాధారణ పంపిణీ కోసం, కింది వాటిలో ఏది నిజం? 

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SSC CGL JSO Tier-II, 2018 (Statistics) Official Paper-III (Held On: 14 Sept, 2019)
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  1. సగటు ≠మధ్యగతం=మోడ్ 
  2. సగటు=మధ్యగతం=మోడ్
  3. సగటు=మధ్యగతం≠మోడ్
  4. సగటు=మోడ్ ≠మోడ్

Answer (Detailed Solution Below)

Option 2 : సగటు=మధ్యగతం=మోడ్
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Detailed Solution

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లెక్కింపు 

నార్మల్ డిస్ట్రిబ్యూషన్= నార్మల్ డిస్ట్రిబ్యూషన్ సంపూర్ణ సుష్ట ఆకారంతో వస్తుంది అంటే పంపిణీ వక్రరేకను మధ్యలో విభజించి రెండు సమాన బహగలను ఉత్పత్తి చేయవచ్చు.  

 

నార్మల్ డిస్ట్రిబ్యూషన్ ప్రక్రియ అనేది  కింది విధంగా సూచించబడుతుంది.

 

 

f(x) = సంభావ్యత సాంద్రత ప్రక్రియ 

σ = ప్రామాణిక విచలనం 

μ = సగటు

సాధారణ పంపిణీలో కేంద్రం గురించి సమరూపత మరియు దానిలో సగటు=మధ్యగతం=మోడ్= μ 

∴ నార్మల్ డిస్ట్రిబ్యూషన్ లో సగటు=మధ్యగతం=మోడ్= μ  

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