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A normal distribution is a bell-shaped curve that describes how many random events or measurements cluster around an average value, with fewer occurrences at the extremes. It matters because many natural phenomena—like heights, test scores, and measurement errors—tend to follow this pattern, making it a fundamental tool for understanding and predicting real-world data.
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Research
130,632 papers- The normal distribution of the hypoxic ventilatory response and methodological impacts: a meta-analysis and computational investigation.The Journal of physiology · 2023Oeung B, Pham K, Olfert IM et al.DOI: 10.1113/JP284767
- Distribution of data in cellular electrophysiology: Is it always normal?Progress in biophysics and molecular biology · 2020Kula R, Bébarová M, Matejovič P et al.DOI: 10.1016/j.pbiomolbio.2020.05.008
- Descriptive statistics and normality tests for statistical data.Annals of cardiac anaesthesia · 2019Mishra P, Pandey CM, Singh U et al.DOI: 10.4103/aca.ACA_157_18
- Parametric or nonparametric statistical tests: Considerations when choosing the most appropriate option for your data.ReviewCytopathology : official journal of the British Society for Clinical Cytology · 2022Vrbin CMDOI: 10.1111/cyt.13174
- Do overactive bladder symptoms and their treatment-associated changes exhibit a normal distribution? Implications for analysis and reporting.Neurourology and urodynamics · 2020Amiri M, Murgas S, Stang A et al.DOI: 10.1002/nau.24275
- Rayleigh-half normal distribution for modeling tooth movement data.Journal of biopharmaceutical statistics · 2020Abd El-Monsef MME, Abd El-Raouf MMDOI: 10.1080/10543406.2019.1684312
- Determination of Normal Distribution of Distended Colon Volumes to Guide Performance of Colonic Imaging With Fluid Distention.ReviewCurrent problems in diagnostic radiology · 2016Zheng KS, Small WC, Mittal PK et al.DOI: 10.1067/j.cpradiol.2015.11.001
- Variability in the Log Domain and Limitations to Its Approximation by the Normal Distribution.CPT: pharmacometrics & systems pharmacology · 2020Elassaiss-Schaap J, Duisters KDOI: 10.1002/psp4.12507
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Wikidata facts
- Subclass of
- continuous probability distribution
- Named after
- Carl Friedrich Gauss
- Image
- Normal Distribution PDF.svg
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- Stack Exchange tag
- stats.stackexchange.com/tags/normal-distribution
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- statistics
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- Normal distribution
- topic's main category
- Category:Normal distribution
- TeX string
- \mathcal{N}(\mu,\,\sigma^2)
- definition domain
- set of real numbers
- on focus list of Wikimedia project
- Wikipedia:Vital articles/Level/4
- maintained by WikiProject
- WikiProject Mathematics
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Article · 中文
正态分布(香港作正態分佈,台湾作常態分布,英語:Normal distribution),又名高斯分佈(英語:Gaussian distribution)、正規分佈,是一個非常常見的連續機率分布。常態分布在统计学上十分重要,經常用在自然和社会科学來代表一個不明的隨機變量。 若隨機變數服從一個位置參數為、尺度參數為的常態分布,記為: 則其機率密度函數為 常態分布的數學期望值或期望值等於位置參數,決定了分布的位置;其方差的開平方或標準差等於尺度參數,決定了分布的幅度。 中心极限定理指出,在特定条件下,一个具有有限均值和方差的随机变量的多个样本(观察值)的平均值本身就是一个随机变量,其分布随着样本数量的增加而收敛于正态分布。因此,许多与独立过程总和有关的物理量,例如测量误差,通常可被近似为正态分布。 常態分布的機率密度函數曲線呈鐘形,因此人們又經常稱之為鐘形曲線(类似于寺庙里的大钟,因此得名)。我們通常所說的標準常態分布是位置參數,尺度參數的常態分布(見右圖中紅色曲線)。
Abstract from DBpedia / Wikipedia · CC BY-SA
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