In a negatively skewed distribution

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SSC CGL Tier-II ( JSO ) 2016 Official Paper ( Held On : 2 Dec 2016 )
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  1. Mean > Mode > Median
  2. Mode > Median > Mean
  3. Mean > Median > Mode
  4. Mode < Median > Mean

Answer (Detailed Solution Below)

Option 2 : Mode > Median > Mean
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Detailed Solution

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Explanation

If skewness is negative, the mean is smaller than the median and the distribution has a large tail of small values.

The relation in mean, median and mode in positive skewed

Mean < Median < Mode

Key Points

Skewness: measure the asymmetry of a distribution about its peak;

It is a number that describes the shape of the distribution.

It is often approximated by Skew = (Mean - Median) / (Std dev).

If skewness is positive, the mean is bigger than the median and the distribution

The relation in mean, median and mode in positive skewed

Mean > Median > Mode

has a large tail of high values.

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