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  2. Box plot - Wikipedia

    en.wikipedia.org/wiki/Box_plot

    Figure 2. Box-plot with whiskers from minimum to maximum Figure 3. Same box-plot with whiskers drawn within the 1.5 IQR value. A boxplot is a standardized way of displaying the dataset based on the five-number summary: the minimum, the maximum, the sample median, and the first and third quartiles.

  3. D'Agostino's K-squared test - Wikipedia

    en.wikipedia.org/wiki/D'Agostino's_K-squared_test

    The sample skewness g 1 and kurtosis g 2 are both asymptotically normal. However, the rate of their convergence to the distribution limit is frustratingly slow, especially for g 2 . For example even with n = 5000 observations the sample kurtosis g 2 has both the skewness and the kurtosis of approximately 0.3, which is not negligible.

  4. Skewness - Wikipedia

    en.wikipedia.org/wiki/Skewness

    Example distribution with positive skewness. These data are from experiments on wheat grass growth. In probability theory and statistics, skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean. The skewness value can be positive, zero, negative, or undefined.

  5. Summary statistics - Wikipedia

    en.wikipedia.org/wiki/Summary_statistics

    a measure of the shape of the distribution like skewness or kurtosis; if more than one variable is measured, a measure of statistical dependence such as a correlation coefficient; A common collection of order statistics used as summary statistics are the five-number summary, sometimes extended to a seven-number summary, and the associated box plot.

  6. Probability density function - Wikipedia

    en.wikipedia.org/wiki/Probability_density_function

    Box plot and probability density function of a normal distribution N(0, σ 2). Geometric visualisation of the mode, median and mean of an arbitrary unimodal probability density function.

  7. Kurtosis - Wikipedia

    en.wikipedia.org/wiki/Kurtosis

    Kurtosis calculator; Free Online Software (Calculator) computes various types of skewness and kurtosis statistics for any dataset (includes small and large sample tests).. Kurtosis on the Earliest known uses of some of the words of mathematics; Celebrating 100 years of Kurtosis a history of the topic, with different measures of kurtosis.

  8. Medcouple - Wikipedia

    en.wikipedia.org/wiki/Medcouple

    In statistics, the medcouple is a robust statistic that measures the skewness of a univariate distribution. [1] It is defined as a scaled median difference between the left and right half of a distribution. Its robustness makes it suitable for identifying outliers in adjusted boxplots.

  9. Sample maximum and minimum - Wikipedia

    en.wikipedia.org/wiki/Sample_maximum_and_minimum

    They are basic summary statistics, used in descriptive statistics such as the five-number summary and Bowley's seven-figure summary and the associated box plot. The minimum and the maximum value are the first and last order statistics (often denoted X (1) and X ( n ) respectively, for a sample size of n ).