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Summary statistics information


Box plot of the Michelson–Morley experiment, showing several summary statistics.

In descriptive statistics, summary statistics are used to summarize a set of observations, in order to communicate the largest amount of information as simply as possible. Statisticians commonly try to describe the observations in

  • a measure of location, or central tendency, such as the arithmetic mean
  • a measure of statistical dispersion like the standard mean absolute deviation
  • 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.

Entries in an analysis of variance table can also be regarded as summary statistics.[1]: 378 

  1. ^ Cite error: The named reference Upton was invoked but never defined (see the help page).

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Summary statistics

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In descriptive statistics, summary statistics are used to summarize a set of observations, in order to communicate the largest amount of information as...

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Descriptive statistics

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sense) is a summary statistic that quantitatively describes or summarizes features from a collection of information, while descriptive statistics (in the...

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Sample maximum and minimum

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They are basic summary statistics, used in descriptive statistics such as the five-number summary and Bowley's seven-figure summary and the associated...

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Quartile

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quartiles described above provide a five-number summary of the data. This summary is important in statistics because it provides information about both the...

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Median

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robust approximation to the mean, the median is a popular summary statistic in descriptive statistics. In this context, there are several choices for a measure...

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List of the busiest airports in the United States

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January 31, 2020. "Summary Statistics for 2019". Archived from the original on May 11, 2022. Retrieved March 7, 2020. "Summary Statistics for 2019" (PDF)...

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Mean

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tendency Median Mode Descriptive statistics Kurtosis Law of averages Mean value theorem Moment (mathematics) Summary statistics Taylor's law Pronounced "x bar"...

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Statistics

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"Business Statistics" course is intended for business majors, and covers descriptive statistics (collection, description, analysis, and summary of data)...

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Linkage disequilibrium score regression

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confounding factors, such as population stratification, based on summary statistics from genome-wide association studies (GWASs). The approach involves...

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Central tendency

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

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Order statistic

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In statistics, the kth order statistic of a statistical sample is equal to its kth-smallest value. Together with rank statistics, order statistics are...

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Statistical dispersion

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Qualitative variation Measurement uncertainty Robust measures of scale Summary statistics NIST/SEMATECH e-Handbook of Statistical Methods. "1.3.6.4. Location...

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Confidence interval

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Informally, in frequentist statistics, a confidence interval (CI) is an interval which is expected to typically contain the parameter being estimated....

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Standard deviation

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In statistics, the standard deviation is a measure of the amount of variation of a random variable expected about its mean. A low standard deviation indicates...

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Test statistic

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typically specified in terms of a test statistic, considered as a numerical summary of a data-set that reduces the data to one value that can be used to perform...

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Average

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Reinhart Dozy in the 19th century. Dozy's original summary is in his 1869 book Glossaire. Summary information about the word's early records in Italian-Latin...

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Decile

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normality test. Summary statistics Socio-economic decile (for New Zealand schools) Lockhart, Robert S. (1998), Introduction to Statistics and Data Analysis:...

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Percentile

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weighted median. Mathematics portal Decile Percentile rank Quantile Summary statistics Hyndman, Rob J.; Fan, Yanan (November 1996). "Sample Quantiles in...

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Liawenee

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locations: Summary Statistics Miena Dam". Australian Bureau of Meteorology. Retrieved 27 January 2016. "Climate statistics for Australian locations: Summary Statistics...

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Box plot

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Tian, S. (2010). "The shifting boxplot. A boxplot based on essential summary statistics around the mean". International Journal of Psychological Research...

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