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Everything about Standard deviation
Measure of variation in statistics
In statistics, the standard deviation is a measure of the amount of variation of the values of a variable about its (arithmetic) average. A low standard deviation indicates that the values of a set tend to be close to their average, while a high standard deviation indicates that the values are spread out over a wider range. 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). Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Standard deviationA 5-minute orientation
- Skim a recent paper: SFKNN-DPC: Standard deviation weighted distance based density peak clustering algorithmInfluential work since 2022
- Pick up a classic book: Super CrunchersThe most-reprinted book on the subject
- Read the landmark paper: Estimating the sample mean and standard deviation from the sample size, median, range and/or interquartile rangeCited 10,679 times
- Go sideways: Bessel's correctionA closely related topic
- Go sideways: VarianceA closely related topic
📖 Definitions
Noun A measure of how spread out data values are around the mean, defined as the square root of the variance. Represented with the Greek letter σ (sigma).
🗂️ The subject at a glance
- 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
🏆 Landmark papers (most cited)
Estimating the sample mean and standard deviation from the sample size, median, range and/or interquartile range
Detecting outliers: Do not use standard deviation around the mean, use absolute deviation around the median
Scaling regression inputs by dividing by two standard deviations
Standard deviation and standard error of the mean
A Robust Standard Deviation Control Chart
Standard Deviation, Standard Error
In Brief: Standard Deviation and Standard Error
A Standard Error: Distinguishing Standard Deviation From Standard Error
🆕 Influential since 2022
SFKNN-DPC: Standard deviation weighted distance based density peak clustering algorithm
Mean relative error and standard relative deviation
The Standard Deviation Score: a novel similarity metric for data analysis
Do you have a standard way of interpreting the standard deviation? A narrative review
Corneal ectasia detection by epithelial pattern standard deviation from OCT
📚 Books worth reading
Super CrunchersIan Ayres · 2007- 📕Hensachi hōkaiTsuyoshi Makino · 2009
The wisdom of yogaStephen Cope · 2006- 📕Comparison of satellite-derived wind measurements with other wind measurement sensorsMichael Susko · 1995
Standard deviationsGary Smith · 2014- 📕Standard deviations of monthly and annual mean temperaturesG. R. Kendall · 1966
- 📕Rasche Schwankungen der Lufttemperatur im Stadtgebiet von Freiburg i. Br. als Element des Bioklimas des MenschenGerd Jendritzky · 1983
- 📕al-Tabāyun al-yawmī lil-inḥirāfāt al-ḥarārīyah li-Makkah al-Mukarramah ʻan al-muʻaddalāt al-ḥarārīyah al-yawmīyah bi-al-Mamlakah al-ʻArabīyah al-SaʻūdīyahJehad Kerbe · 2007
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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