ഒരു ക്രിക്കറ്റ് മത്സരത്തിൽ, കളിക്കാരുടെ സ്കോറുകൾ പരിഗണിക്കുന്നത് സ്കോറുകളുടെ വ്യതിയാന ഗുണകം 16 ഉം മാധ്യം 25 ഉം ആണ് എന്ന നിലയിലാണ്. അപ്പോൾ വേരിയൻസ് ഇതാണ്:

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RRB ALP CBT I 14 Aug 2018 Shift 1 Official Paper
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  1. 4
  2. 16
  3. 8
  4. 12

Answer (Detailed Solution Below)

Option 2 : 16
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നൽകിയിരിക്കുന്നത്:

മാധ്യം = (μ) = 25

വ്യതിയാന ഗുണകം (CV) = 16

ഉപയോഗിച്ച സൂത്രവാക്യം:

മാനക വ്യതിയാനം = σ = √വേരിയൻസ് 

CV = (σ/μ) × 100

CV = വ്യതിയാന ഗുണകം = σ/μ

σ = മാനക വ്യതിയാനം

μ = മാധ്യം 

കണക്കുകൂട്ടൽ:

CV = (σ/μ) × 100

⇒ 16 = (σ/25) × 100

⇒ 16 = 4σ

σ = 4

അതിനാൽ, σ = √വേരിയൻസ് 

⇒ 4 = √വേരിയൻസ് 

⇒ 16 = വേരിയൻസ് 

∴ ആവശ്യമായ ഉത്തരമാണ് 16.

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