పంపిణీ యొక్క సగటు 100 మరియు వైవిధ్యం యొక్క గుణకం 45% అయితే, అప్పుడు వ్యత్యాసం యొక్క విలువ ఎంత?

This question was previously asked in
NDA (Held On: 18 Apr 2021) Maths Previous Year paper
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  1. 2025
  2. 450
  3. 45
  4. 4.5

Answer (Detailed Solution Below)

Option 1 : 2025
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పద్ధతి:

వైవిధ్యం యొక్క గుణకం =\(\rm\text{Standard Deviation} \over\text{ Mean}\)

వైవిధ్యం = (ప్రామాణిక విచలనం)2

సాధన:

వైవిధ్యం యొక్క గుణకం = 45% = 0.45

మరియు సగటు = 100

వైవిధ్యం యొక్క గుణకం =\(\rm\text{Standard Deviation} \over\text{ Mean}\)

0.45 =\(\rm\text{Standard Deviation} \over100\)

ప్రామాణిక విచలనం = 100 × 0.45

SD = 45

∴ వైవిధ్యం = 452 = 2025

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