Standard deviation

dispersion of the values of a random variable around its expected value

Statistical Techniques for Transportation Engineering

${\sqrt {2}}\,\sigma$

$\sigma ={\sqrt {4}}=2.$

${\sqrt {\left(e^{\sigma ^{2}}-1\right)\ e^{2\mu +\sigma ^{2}}}}\,.$

In statistics, the standard deviation is a measure of the amount of variation of the values of a variable about its mean. A low standard deviation indicates that the values tend to … Wikipedia

Wikipedia

en.wikipedia.org › wiki › Standard_deviation

Standard deviation - Wikipedia

2 days ago - Standard deviation may be abbreviated SD or std dev, and is most commonly represented in mathematical texts and equations by the lowercase Greek letter σ (sigma), for the population standard deviation, or the Latin letter s, for the sample standard deviation.

Relationship with standard error and statistical significance

Basic examples

Definition of population values

Estimation

Identities and mathematical properties

Interpretation and application

Standard deviation matrix

Relationship between standard deviation and mean

Rapid calculation methods

History

Standard deviation index

Alternatives

Statistics LibreTexts

stats.libretexts.org › bookshelves › introductory statistics › mostly harmless statistics (webb) › back matter

Symbols - Statistics LibreTexts

March 12, 2023 - { "00:_Front_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.<PageSubPageProperty>b__1]()", "01:_Introduction_to_Data" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.<PageSubPageProperty>b__1]()", "02:_Organizing_Data" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.<PageSubPageProperty>b__1]()", "03:_Descriptive_Statistics" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass230_0.<PageSubPageProperty

Videos

01:31

YouTube

What Is The Symbol For Population Standard Deviation In Statistics?

March 10, 2025

01:33

YouTube

What Is The Symbol For Population Standard Deviation? - The Friendly ...

March 25, 2025

06:09

YouTube

Symbols in statistics. Sample or Population? - YouTube

August 24, 2020

02:42

YouTube

Statistical Symbols - YouTube

August 24, 2016

youtube.com

Identify the symbols used for each of the following: (a) sample ...

March 20, 2018

khanacademy.org

Population standard deviation (video)

View all

Discussions

[Grade 10 math: standard deviation] Whats the difference between sigmaX (òX) and sX for standard deviation and how do you know when to use them?

Off-topic Comments Section All top-level comments have to be an answer or follow-up question to the post. All sidetracks should be directed to this comment thread as per Rule 9. OP and Valued/Notable Contributors can close this post by using /lock command I am a bot, and this action was performed automatically. Please contact the moderators of this subreddit if you have any questions or concerns. More on reddit.com

r/HomeworkHelp

May 14, 2024

[Q] Standard Deviation: Sigma vs. “s”

Would you use sigma for standard deviation regarding population and “s” for standard deviation regarding sample? That's correct. In statistics, by convention we use Greek letters when referring to population parameters, and we use Latin letters when referring to sample statistics. More on reddit.com

r/statistics

November 16, 2021

Do TI-84 Plus calculators give SD or SD+?

The TI 84 series calculators do have statistics functions built in, including standard deviation computations. TI has a page that explains how standard deviation computations are done. It also has a page on how to do various stat computations that you'd see on an AP stats exam. More on reddit.com

r/calculators

September 15, 2024

Is this a correct math notation for sample variance?

Hi u/Verwarmingsketel, Please read the following message. You are required to explain your post and show your efforts. (Rule 1) If you haven't already done so, please add a comment below explaining your attempt(s) to solve this and what you need help with specifically. If some of your work is included in the image or gallery, you may make reference to it as needed. See the sidebar for advice on 'how to ask a good question'. Don't just say you "need help" with your problem. Failure to follow the rules and explain your post will result in the post being removed. This is a reminder for all users. Thank you for understanding. I am a bot, and this action was performed automatically. Please contact the moderators of this subreddit if you have any questions or concerns. More on reddit.com

r/askmath

September 11, 2022

University of Sussex

users.sussex.ac.uk › ~grahamh › RM1web › StatsSymbolsGuide

A brief guide to some commonly used statistical symbols:

The "sn-1" button gives you the version of the standard deviation that you would use if you wanted to use your sample's characteristics as an estimate of those of the entire population (which you often want to do in psychology, as we're normallly interested in trying to extrapolate from our sample to the entire population from which that sample came). The "s" version of the standard deviation usually gives a larger value for the standard deviation than the "sn-1" version, because the standard deviation of a sample tends to underestimate the standard deviation of the population from which the sample originated.

Quizlet

quizlet.com › 732861264 › stats-unit-2-flash-cards

Stats Unit 2 Flashcards | Quizlet

The symbol for sample standard deviation · s · The symbol for population standard deviation · σ · The symbol for sample variance · s^2 · The symbol for population variance · σ^2 · If sample data consist of weights measured in grams, then correctly complete the following sentences...

Quora

quora.com › What-is-the-sign-for-standard-deviation

What is the sign for standard deviation? - Quora

Answer (1 of 63): The Standard deviation symbol is usually rendered (+/-), or the Greek letter ‘sigma,’ * From: Wiktionary-Symbol * * σ * (mathematics, statistics) Standard deviation. but the standard error symbol is often rendered the same way, and refers to a slightly different value bei...

Standarddeviationsymbol

standarddeviationsymbol.com

Standard Deviation Symbol (σ)

The standard deviation symbol (σ) is the lowercase Greek letter sigma. It's one of the most important symbols in statistics and mathematics, used to represent the measure of variability or dispersion in a dataset. ... The population standard deviation symbol (σ) represents the measure of ...

BrownMath

brownmath.com › swt › symbol.htm

Symbol Sheet / SWT

∑ “sigma” = summation. (This is upper-case sigma. Lower-case sigma, σ, means standard deviation of a population; see the table near the start of this page.) See ∑ Means Add ’em Up in Chapter 1. χ² “chi-squared” = distribution for multinomial experiments and contingency tables.

Find elsewhere

Google Bing Mojeek

Quizlet

quizlet.com › 424895745 › 27-terms-flash-cards

2.7 Terms Flashcards | Quizlet

The lower case letter s represents the sample standard deviation and the Greek letter σ (sigma, lower case) represents the population standard deviation. If the sample has the same characteristics as the population, then s should be a good ...

Statistics Solutions

statisticssolutions.com › home › dissertation resources › common statistical formulas

Common Statistical Formulas - Statistics Solutions

May 13, 2025 - The symbol ‘μ’ stands for the population mean. Meanwhile, ‘Σ Xi’ indicates the sum of all scores in the population (such as X1, X2, X3, and so on). The symbol ‘N’ represents the total number of individuals or cases in the population. The population standard deviation is a measure of the spread (variability) of the scores on a given variable and is represented by:

wumbo.net

wumbo.net › formulas › standard-deviation

Standard Deviation Formula

The standard deviation formula calculates the standard deviation of population data. The standard deviation value is denoted by the symbol σ (sigma) and measures how far the data is distributed around the population's mean.

ProPrep

proprep.com › questions › what-is-the-symbol-for-population-standard-deviation-in-statistics

What is the symbol for population standard deviation in statistics?

August 1, 2018 - Stuck on a STEM question? Post your question and get video answers from professional experts: In statistics, the symbol for population standard deviation is ...

Khan Academy

khanacademy.org › math › statistics-probability › summarizing-quantitative-data › variance-standard-deviation-sample › a › population-and-sample-standard-deviation-review

Population and sample standard deviation review (article)

We cannot provide a description for this page right now

Math is Fun

mathsisfun.com › data › standard-deviation.html

Standard Deviation and Variance

Example: if our 5 dogs are just a sample of a bigger population of dogs, we divide by 4 instead of 5 like this: ... Think of it as a "correction" when our data is only a sample. Here are the two formulas, explained at Standard Deviation Formulas if you want to know more:

JMP

jmp.com › en › statistics-knowledge-portal › measures-of-central-tendency-and-variability › standard-deviation

Standard Deviation

The population standard deviation is shown in formulas by the Greek letter “sigma.” The symbol is σ.

Minitab

support.minitab.com › en-us › minitab › help-and-how-to › statistics › basic-statistics › supporting-topics › data-concepts › what-is-the-standard-deviation

What is the standard deviation? - Minitab

The symbol σ (sigma) is often used to represent the standard deviation of a population, while s is used to represent the standard deviation of a sample. Variation that is random or natural to a process is often referred to as noise. The standard deviation can be used to establish a benchmark ...

Math Vault

mathvault.ca › home › higher math resource hub › foundation of higher mathematics › mathematical symbols › probability and statistics symbols

List of Probability and Statistics Symbols | Math Vault

April 11, 2025 - Probability and statistics correspond to the mathematical study of chance and data, respectively. The following reference list documents some of the most notable symbols in these two topics, along with each symbol’s usage and meaning. For readability purpose, these symbols are categorized by function into tables.

Advised Skills

advisedskills.com › home › blog › learning › formula, examples, symbol, and calculations for standard deviation

Formula, Examples, Symbol, and Calculations for Standard Deviation

September 20, 2024 - To calculate the variance, we simply take the mean square of all the deviations from the mean. For a population, the mathematical symbol for Standard Deviation is (sigma), while for a sample, the symbol is s.

Khan Academy

khanacademy.org › math › statistics-probability › summarizing-quantitative-data › variance-standard-deviation-population › a › calculating-standard-deviation-step-by-step

Standard deviation: calculating step by step (article)

We cannot provide a description for this page right now

Quizlet

quizlet.com › study-guides › standard-deviation-symbols-and-units-a7fad86d-4847-4842-ac65-7cffafb02509

Standard Deviation Symbols and Units Study Guide

May 7, 2024 - Quizlet makes learning fun and easy with free flashcards and premium study tools. Join millions of students and teachers who use Quizlet to create, share, and learn any subject.

Uedufy

uedufy.com › home › blog › population vs sample standard deviation formula: complete guide

Population vs Sample Standard Deviation Formula: Complete Guide

March 22, 2022 - This is how you read the population standard deviation formula: standard deviation (σ) equals the square root of the sum of (Σ) all the squared differences between every point xiin the dataset and the population mean (μ), divided by all the ...