UNIVARIATE STATISTICAL MEASURES

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UNIVARIATE STATISTICAL MEASURES

asymmetry and pointing measures

Kurtosis (or skewness) is a shape measure that measures how steep or flattened a curve or distribution is. This coefficient indicates the amount of data that is close to the mean, so that the higher the degree of kurtosis, the steeper (or pointed) the shape of the curve will be.

Asymmetry is the measure that indicates the symmetry of the distribution of a variable with respect to the arithmetic mean, without the need for graphical representation. Skewness coefficients indicate whether there are the same number of elements to the left and right of the mean.

Negative skewness: the tail of the distribution becomes longer for values below the mean.

Symmetric: there are the same number of elements to the left and right of the mean. In this case, the mean, median and mode coincide. The distribution fits the shape of the Gaussian bell, or normal distribution.

Positive skewness: the tail of the distribution becomes longer (to the right) for values above the mean.

DISPERSION MEASURES

COEFFICIENT OF VARIATION

MOMENTS

VARIANCE

RANGE

POSITION MEASUREMENTS

CUANTILES

Percentiles K = 100

Deciles K = 10

Cuartiles K=4

MEASURES OF CENTRAL TENDENCY

FAD

is the value with the highest frequency in one of the data distributions

MEDIAN

is the middle number of a group of numbers ordered by size. If the number of terms is even, the median is the average of the two central numbers

HALF

It is found by adding the total values in the variance and dividing by the number of observations

values located in the center of a set of data ordered according to their magnitude.