a measure of how strongly the distribution is tailed compared to a normal distribution

If a distribution is not perfectly normally distributed, the skewness indicates the side of the tail, and the kurtosis is a measure of how strongly the distribution is tailed compared to a normal distribution.

The measure of peakedness of data

The measure of peakedness of data is called kurtosis.

the shape of the probability distribution at the tails of the tails

Skewness measures the asymmetry of the probability distribution around the mean, similarly kurtosis defines the shape of the probability distribution at the tails of the tails .

the fourth standardized moment of a random variable

The kurtosis is the fourth standardized moment of a random variable.

a measure of the heaviness of the tails of a distribution

k. Kurtosis – Kurtosis is a measure of the heaviness of the tails of a distribution.

a statistical measure , that's used to describe the distribution, or skewness, of observed data around the meansometimes referred to as the volatility of volatility

Kurtosis is a statistical measure that's used to describe the distribution, or skewness, of observed data around the mean, sometimes referred to as the volatility of volatility.

the fourth central moment divided by the square of the variance

Kurtosis is the fourth central moment divided by the square of the variance.

a statistical measure that is used to describe the distribution

Like skewness, kurtosis is a statistical measure that is used to describe the distribution.

a measure of the degree of sharpness

The kurtosis is a measure of the degree of sharpness, and is 3 when the probability distribution is a normal distribution.

a measure of peakiness

Kurtosis, on the other hand, is a measure of peakiness.

a measure of whether the distribution is heavy tailed or light tailed

Kurtosis is a measure of whether the distribution is heavy tailed or light tailed; “excess kurtosis” is kurtosis relative to the normal distribution (with a kurtosis of 3).

a measure of the flattening of the distribution

Kurtosis is a measure of the flattening of the distribution, and for a normal distribution amounts to 0.

a proportion of the peakedness of the distribution contrasted with an ordinary dispersion

Skewness is a metric of the asymmetry of the distribution, while kurtosis is a proportion of the peakedness of the distribution contrasted with an ordinary dispersion.

a measure of how outlier-prone a distribution is

Kurtosis is a measure of how outlier-prone a distribution is.