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Which formula represents the 2nd moment around the mean?

This question was previously asked in
SSC CGL Tier-II ( JSO ) 2017 Official Paper ( Held On : 22 Feb 2018 )
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  1. Σ(xi – μx)2
  2. √Σ(xi – μx)2
  3. Σ(xi2 – μx2)
  4. √ Σ(xi2 – μx2)

Answer (Detailed Solution Below)

Option 1 : Σ(xi – μx)2
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Calculaton

Moment about mean = The rth moments of a variable about the mean μr  denoted by μ =(1/N)[∑fi(xi - μx )r 

⇒ Put r = 2

∴ ∑fi(xi - μx )2 represents the 2nd moment around the mean

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