Difference Between Kurtosis & Dispersion

[Atomic_Sheep]

Hi Guys,
What’s the difference between Kurtosis and Dispersion? If a distribution is dispersed, it means it has extreme outcomes as likely, if it’s not dispersed, then extreme outcomes become unlikely. But that’s the definition of kurtosis according to the book.

 

[S2000magician]

Dispersion is typically measured with variance or standard deviation.
Kurtosis measures (broadly) how peaked the distribution is:

• Positive excess kurtosis means that the distribution has a higher peak than a normal distribution with the same variance
• Negative excess kurtosis means that the distribution has a lower peak than a normal distribution with the same variance.

I wrote an article on kurtosis that may be of some help here: http://financialexamhelp123.com/kurtosis/