ASTM E2586-19 (2024) PDF

Full title and description

ASTM E2586-19(2024) — Standard Practice for Calculating and Using Basic Statistics. This practice provides definitions, formulas, worked examples, and recommended presentation formats for basic descriptive and elementary inferential statistics used to summarize and interpret single-variable data sets.

Abstract

This practice covers methods and equations for computing and presenting basic statistics, including simple descriptive statistics for variable and attribute data, elementary methods of statistical inference (confidence and prediction intervals, hypothesis tests, tolerance intervals), and common tabular and graphical displays (histograms, boxplots, dotplots, probability plots). Guidance for interpretation and appropriate use is included.

General information

• Status: Active / Reaffirmed (designation shows the 2019 issue with 2024 reapproval).
• Publication date: Originally issued 2019; edition designation shown as 2019 with reapproval/publication activity in 2024 (listed publication/reissue date: Jan 10, 2024).
• Publisher: ASTM International.
• ICS / categories: 03.120.30 — Application of statistical methods.
• Edition / version: E2586-19 (reconfirmed/reissued 2024 as indicated by the 2024 designation).
• Number of pages: 22 pages (approx.).

Key bibliographic and status details are drawn from the ASTM catalog and recognized standards distributors.

Scope

This standard provides methods and example calculations for summarizing a single-variable data set and for basic inferential tasks. It addresses measures of central tendency and dispersion (mean, median, range, variance, standard deviation, interquartile range), order statistics and percentiles, simple graphical and tabular presentations, and elementary statistical inference tools such as standard error, confidence intervals, prediction intervals, tolerance intervals, and basic hypothesis-testing concepts. The practice is intended for general-purpose use and does not prescribe units; examples are illustrative.

Key topics and requirements

• Definitions and notation for sample statistics and order statistics.
• Computation methods for mean, median, mode, range, midrange, variance, and standard deviation.
• Percentiles, quartiles, and empirical quantiles; procedures for computing and reporting.
• Graphical displays: histograms, boxplots, dotplots, ogives, normal probability plots and Q–Q plots.
• Elementary inferential procedures: standard error, confidence intervals, prediction intervals, tolerance intervals, and basic hypothesis-testing concepts (significance level, p-value).
• Guidance on data quality, homogeneity of samples, subgrouping, and when summaries may be misleading.
• Recommended tabular presentation formats and worked calculation examples for clarity and repeatability.

Typical use and users

This practice is used by statisticians, quality engineers, laboratory personnel, data analysts, researchers, and technical writers who need a concise, standards-based reference for calculating and reporting basic statistics. Typical applications include quality assurance reporting, laboratory test result summaries, preliminary data analysis in R&D, regulatory reporting, and educational/training materials for technicians and engineers.

Related standards

Related documents commonly used alongside E2586 include other ASTM statistical practices and guides and international references on measurement and statistical terminology (for example, practices addressing outliers, test method precision, and vocabulary for statistics). Users often consult applicable ASTM and ISO standards for measurement uncertainty, accuracy, and terminology when applying results beyond descriptive summaries.

Keywords

basic statistics, descriptive statistics, mean, median, variance, standard deviation, confidence interval, prediction interval, tolerance interval, histogram, boxplot, percentile, quantile, hypothesis test, sample statistic, data presentation

FAQ

Q: What is this standard?

A: ASTM E2586-19(2024) is a practice that documents recommended methods and formulae for calculating and presenting basic descriptive and elementary inferential statistics for single-variable data sets.

Q: What does it cover?

A: It covers computation and presentation of measures of central tendency and dispersion, order statistics and percentiles, common tabular and graphical displays, and elementary inferential tools such as confidence, prediction, and tolerance intervals, plus guidance on interpretation and data quality considerations.

Q: Who typically uses it?

A: Quality and laboratory personnel, statisticians, analysts, engineers, and technical authors who require a concise reference for consistent calculation and reporting of basic statistical summaries.

Q: Is it current or superseded?

A: The authoritative records list the standard as the 2019 issue with activity in 2024 (designation shown as ASTM E2586-19(2024)), and it is presented as active/reconfirmed in current catalogs. Users should verify the latest status through the ASTM catalog or their standards provider for procurement and compliance decisions.

Q: Is it part of a series?

A: It is part of ASTM’s suite of practices and guides addressing statistical methods and data reporting; it is complementary to other ASTM statistical practices and to international standards for measurement and statistical vocabulary.

Q: What are the key keywords?

A: Mean, median, variance, standard deviation, percentile, boxplot, histogram, confidence interval, prediction interval, tolerance interval, hypothesis test.