If a set of points represent probability density, then the third central moment is the ______________.

This question was previously asked in
SSC CGL Tier-II ( JSO ) 2017 Official Paper ( Held On : 22 Feb 2018 )
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  1. skewness
  2. kurtosis
  3. mean
  4. variance

Answer (Detailed Solution Below)

Option 1 : skewness
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Explaination

We all know that a measure of skewness is obtained by the use of the third moment about the mean (Third central mean)

Skewness is measured by the term β1

⇒ μ2322

The first moment about the origin is the measure of the mean

The second moment about the mean measures the variance 

The third moment about the mean measures the skewness 

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