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KI-Glossar

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Frequency distribution

Tabular or graphical representation of the number of occurrences of each value or class of a quantitative or qualitative variable, allowing visualization of the data structure.

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Histogram

Bar chart with contiguous bars representing the distribution of a continuous quantitative variable, where the area of each bar is proportional to the frequency of observations in the corresponding interval.

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Box plot

Statistical diagram summarizing the distribution of a variable through five indicators: minimum, first quartile, median, third quartile, and maximum, revealing symmetry and the presence of extreme values.

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Quartiles

Values that divide an ordered dataset into four equal parts, where Q1 represents the 25th percentile, Q2 the median (50th percentile), and Q3 the 75th percentile.

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Standard deviation

Measure of dispersion calculated as the square root of the variance, quantifying the average dispersion of observations around the mean of the distribution.

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Variance

Average of the squared deviations from the mean, measuring the dispersion of data and forming the basis for calculating the standard deviation in univariate analysis.

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Arithmetic mean

Central tendency indicator obtained by dividing the sum of all observations by their total number, sensitive to extreme values and appropriate for symmetric data.

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Median

Central value separating the ordered distribution into two equal parts, robust to extreme values and particularly informative for asymmetric distributions.

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Mode

Value or category appearing with the highest frequency in a distribution, which can be unique, multiple, or non-existent depending on the data structure.

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Range

Elementary measure of dispersion calculated as the difference between the maximum and minimum value of a variable, providing an initial assessment of data variability.

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Coefficient of variation

Ratio of the standard deviation to the mean, expressed as a percentage, allowing comparison of relative dispersion between variables of different scales in univariate analysis.

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Skewness

Asymmetry coefficient measuring the degree of inclination of a distribution relative to its symmetry, distinguishing left-skewed (negative) from right-skewed (positive) distributions.

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Bar chart

Graphical representation of qualitative or discrete quantitative variables where the height of each bar is proportional to the frequency or count of each category.

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Pie chart

Graph divided into angular sectors proportional to the relative frequencies of a qualitative variable, visualizing the composition of a whole in percentages.

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Density plot

Smoothed curve estimating the probability density function of a continuous variable, providing an alternative visualization to the histogram for identifying modes and the shape of the distribution.

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Interquartile range

Robust measure of dispersion calculated as the difference between the third and first quartile (Q3-Q1), representing the range containing 50% of the central observations.

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Pearson's skewness coefficient

Skewness index based on the difference between mean and median, normalized by the standard deviation, providing an alternative measure of skewness that is particularly intuitive.

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Outliers

Extreme observations that deviate significantly from the general pattern of the data, identified by methods such as the interquartile range (1.5×IQR) or Z-score.

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