Define Kurtosis

Statistics statistics a measure of the concentration of a distribution around its mean esp the statistic b 2 m 4 m 2 2 where m 2 and m 4 are respectively the second and fourth moment of the distribution around the mean. Kurtosis definition is the peakedness or flatness of the graph of a frequency distribution especially with respect to the concentration of values near the mean as compared with the normal distribution. Kurtosis is a measure of the combined sizes of the two tails.

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That is data sets with high kurtosis tend to have heavy tails or outliers.

Define kurtosis. A person who has an unexplainable power over people or things or who seems to enjoy unusual luck and positive outcomes as if able to exert the power of the force to mystically influence the universe. When a set of approximately normal data is graphed via a histogram it shows a. Kurtosis is a measure of the combined weight of a distribution s tails relative to the center of the distribution. It measures the amount of probability in the tails.

Kurtosis is a statistical measure that defines how heavily the tails of a distribution differ from the tails of a normal distribution. Data sets with low kurtosis tend to have light tails or lack of outliers. Take the quiz to find out. The points presented to you explain the fundamental differences between skewness and kurtosis.

In a normal distribution b 2 3. If the kurtosis is greater than 3 then the dataset has heavier tails than a normal distribution more in the tails. Kurtosis is typically measured with respect to the normal distribution. A distribution that has tails shaped in roughly the same way as any normal distribution not just the standard normal distribution is said to be mesokurtic.

Skewness is a measure of the degree of lopsidedness in the frequency distribution. An odd eccentric or unusual person. Kurtosis is a measure of whether the data are heavy tailed or light tailed relative to a normal distribution. κυρτός kyrtos or kurtos meaning curved arching is a measure of the tailedness of the probability distribution of a real valued random variable.

In probability theory and statistics kurtosis from greek. The value is often compared to the kurtosis of the normal distribution which is equal to 3. In other words kurtosis identifies whether the tails of a given distribution contain extreme values. An automaton in the form of a human being.

The characteristic of a frequency distribution that ascertains its symmetry about the mean is called skewness.