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Interquartile range

Index Interquartile range

In descriptive statistics, the interquartile range (IQR), also called the midspread or middle 50%, or technically H-spread, is a measure of statistical dispersion, being equal to the difference between 75th and 25th percentiles, or between upper and lower quartiles, IQR. [1]

26 relations: Box plot, Cauchy distribution, Central tendency, Cumulative distribution function, Descriptive statistics, Interdecile range, Laplace distribution, Mean, Median, Median absolute deviation, Midhinge, Normal distribution, Outlier, Percentile, Probability density function, Probability distribution, Quantile function, Quartile, Range (statistics), Robust measures of scale, Robust statistics, Standard deviation, Standard score, Statistical dispersion, Studentlitteratur, Trimmed estimator.

Box plot

In descriptive statistics, a box plot or boxplot is a method for graphically depicting groups of numerical data through their quartiles.

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Cauchy distribution

The Cauchy distribution, named after Augustin Cauchy, is a continuous probability distribution.

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Central tendency

In statistics, a central tendency (or measure of central tendency) is a central or typical value for a probability distribution.

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Cumulative distribution function

In probability theory and statistics, the cumulative distribution function (CDF, also cumulative density function) of a real-valued random variable X, or just distribution function of X, evaluated at x, is the probability that X will take a value less than or equal to x. In the case of a continuous distribution, it gives the area under the probability density function from minus infinity to x. Cumulative distribution functions are also used to specify the distribution of multivariate random variables.

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Descriptive statistics

A descriptive statistic (in the count noun sense) is a summary statistic that quantitatively describes or summarizes features of a collection of information, while descriptive statistics in the mass noun sense is the process of using and analyzing those statistics.

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Interdecile range

In statistics, the interdecile range is the difference between the first and the ninth deciles (10% and 90%).

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Laplace distribution

In probability theory and statistics, the Laplace distribution is a continuous probability distribution named after Pierre-Simon Laplace.

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Mean

In mathematics, mean has several different definitions depending on the context.

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Median

The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half.

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Median absolute deviation

In statistics, the median absolute deviation (MAD) is a robust measure of the variability of a univariate sample of quantitative data.

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Midhinge

In statistics, the midhinge is the average of the first and third quartiles and is thus a measure of location.

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Normal distribution

In probability theory, the normal (or Gaussian or Gauss or Laplace–Gauss) distribution is a very common continuous probability distribution.

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Outlier

In statistics, an outlier is an observation point that is distant from other observations.

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Percentile

A percentile (or a centile) is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall.

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Probability density function

In probability theory, a probability density function (PDF), or density of a continuous random variable, is a function, whose value at any given sample (or point) in the sample space (the set of possible values taken by the random variable) can be interpreted as providing a relative likelihood that the value of the random variable would equal that sample.

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Probability distribution

In probability theory and statistics, a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

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Quantile function

In probability and statistics, the quantile function specifies, for a given probability in the probability distribution of a random variable, the value at which the probability of the random variable is less than or equal to the given probability.

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Quartile

A quartile is a type of quantile.

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Range (statistics)

In statistics, the range of a set of data is the difference between the largest and smallest values.

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Robust measures of scale

In statistics, a robust measure of scale is a robust statistic that quantifies the statistical dispersion in a set of numerical data.

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Robust statistics

Robust statistics are statistics with good performance for data drawn from a wide range of probability distributions, especially for distributions that are not normal.

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Standard deviation

In statistics, the standard deviation (SD, also represented by the Greek letter sigma σ or the Latin letter s) is a measure that is used to quantify the amount of variation or dispersion of a set of data values.

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Standard score

In statistics, the standard score is the signed number of standard deviations by which the value of an observation or data point differs from the mean value of what is being observed or measured.

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Statistical dispersion

In statistics, dispersion (also called variability, scatter, or spread) is the extent to which a distribution is stretched or squeezed.

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Studentlitteratur

Studentlitteratur is an academic publishing company based in Sweden and publishing mostly in Swedish.

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Trimmed estimator

In statistics, a trimmed estimator is an estimator derived from another estimator by excluding some of the extreme values, a process called truncation.

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Redirects here:

IQR, Inter-quartile range, Interquartile Range, Interquartile ranges, Middle 50%, Quartile deviation, Semi-interquartile range.

References

[1] https://en.wikipedia.org/wiki/Interquartile_range

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