Investopedia
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Standard Deviation Formula and Uses, vs. Variance
June 5, 2025 - The greater the standard deviation of securities, the greater the variance between each price and the mean, which shows a larger price range. For example, a volatile stock has a high standard deviation, meaning that its price goes up and down ...
dispersion of the values โโof a random variable around its expected value
Wikipedia
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Standard deviation - Wikipedia
5 days ago - Roughly, the reason for it is that ... sample variance relies on computing differences of observations from the sample mean, and the sample mean itself was constructed to be as close as possible to the observations, so just dividing by n would underestimate the variability. If the population of interest is approximately normally distributed, the standard deviation provides ...
Videos
07:49
Standard deviation (simply explained) - YouTube
03:43
Standard Deviation - Explained and Visualized - YouTube
Visually assessing standard deviation (video)
Standard Deviation โ comparing two data sets on the SAT - YouTube
05:14
Standard Deviation explained - YouTube
What does standard deviation tell you?
The standard deviation is the average amount of variability in your data set. It tells you, on average, how far each score lies from the mean. ยท In normal distributions, a high standard deviation means that values are generally far from the mean, while a low standard deviation indicates that values are clustered close to the mean.
scribbr.com
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How to Calculate Standard Deviation (Guide) | Calculator & Examples
What is a normal distribution?
In a normal distribution, data are symmetrically distributed with no skew. Most values cluster around a central region, with values tapering off as they go further away from the center. ยท The measures of central tendency (mean, mode, and median) are exactly the same in a normal distribution.
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How to Calculate Standard Deviation (Guide) | Calculator & Examples
What are the 4 main measures of variability?
Variability is most commonly measured with the following descriptive statistics: ยท Range: the difference between the highest and lowest values ยท Interquartile range: the range of the middle half of a distribution ยท Standard deviation: average distance from the mean ยท Variance: average of squared distances from the mean
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How to Calculate Standard Deviation (Guide) | Calculator & Examples
Reddit
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I still don't understand what standard deviation, even in grad school. : r/datascience
January 14, 2023 - The standard deviation is the square root of the variance. A low standard deviation indicates that the data points tend to be close to the mean (average) of the set, while a high standard deviation indicates that the data points are spread out over a wider range of values.
Investopedia
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Standard Deviation vs. Variance: Whatโs the Difference?
April 5, 2025 - In finance, standard deviation calculates risk so riskier assets have a higher deviation, while safer bets come with a lower standard deviation. Investors use variance to assess the risk or volatility associated with assets by comparing their ...
Statsig
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Understanding (and reducing) variance and standard deviation
January 22, 2025 - Standard deviation (and its square, variance) are extremely common measurements used to understand how much variation of โspreadโ an observed variable has. In short, a low standard deviation means that observations cluster around a datasetโs mean, and a high standard deviation means that observations are spread out in a wide range around a datasetโs mean.
6 Sigma
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Standard Deviation vs Variance: Find out the differences. - SixSigma.us
April 18, 2025 - Measures the variation present in a dataset. Low standard deviation means the data points are closer to the mean, and high standard deviation means the data points are spread out from the mean.
LeanScape
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Demystifying Standard Deviation: A Beginner's Guide - LeanScape
September 23, 2024 - This might be considered โgoodโ in contexts where consistency or predictability is desired. Conversely, a high standard deviation (significantly higher than 1) indicates that data points spread out over a wider range, signifying high variability.
Statistics Canada
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4.5.3 Calculating the variance and standard deviation
Standard deviation is useful when comparing the spread of two separate data sets that have approximately the same mean. The data set with the smaller standard deviation has a narrower spread of measurements around the mean and therefore usually has comparatively fewer high or low ...
Scribbr
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How to Calculate Standard Deviation (Guide) | Calculator & Examples
March 28, 2024 - ... Although there are simpler ... more than evenly spread samples. A higher standard deviation tells you that the distribution is not only more spread out, but also more unevenly spread out....
Top answer 1 of 16
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Covering all sciences: Economics, biology, engineering, etc... there is no value that is "high." In one application I might expect a standard deviation that is close to zero no matter what the mean is. I am looking at retention time of a chemical on a chromatography column within the limits of that columns capacity. I expect that the deviation in retention time will have almost no variability. This is in contrast to I am looking at the reproductive rate of a small fish in the lower Mississippi delta over 5 years. Here, I might be lucky if my standard deviation is less than five times my mean.
What I would be more concerned about is whether a sample size of 4 is capable of accurately estimating a standard deviation.
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5% is reasonable. but if you are forecasting share prices or currency you need it in still smaller decimals for greater accuracy. (the stocks with lesser standard deviations always posted lesser margins!!) In the case of behavioral, scale data you may just present it in relative terms rather than considering it on absolute terms
University of Waterloo
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About the standard deviation | Teaching Assessment Processes | University of Waterloo
October 6, 2023 - Standard deviation indicates the variability of dataโthe degree to which SCP scores vary around the mean. A higher standard deviation means that there is high variability in the data. A lower standard deviation means that there is less variability in the data.
Top answer 1 of 16
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Hi Riki,
For an approximate answer, please estimate your coefficient of variation (CV=standard deviation / mean).As a rule of thumb, a CV >= 1 indicates a relatively high variation, while a CV < 1 can be considered low. This means that distributions with a coefficient of variation higher than 1 are considered to be high variance whereas those with a CV lower than 1 are considered to be low-variance.
Remember, standard deviations aren't "good" or "bad". They are indicators of how spread out your data is. A "good" SD depends if you expect your distribution to be centered or spread out around the mean. This really depends on your data.
CheersJosh
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when data , CV >=1, it should be repeated the experiment or how?
Statsig
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Standard Deviation vs Variance: A Practical Guide for Analysts
2 weeks ago - Price data: A high variance hints at unstable markets. Quality assurance: A tight deviation signals capable processes. User funnels: Spread across users can highlight cohort effects.
JMP
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Standard Deviation
The standard deviation is the square root of the variance. Both standard deviation and variance are measures of spread. The standard deviation is in the same units as your data. For example, if you measure age in years, the standard deviation ...
Top answer 1 of 2
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As other users have mentioned in the comments, "small" and "large" are arbitrary and depend on the context. However, one very simple way to think about whether a standard deviation is small or large is as follows. If you assume that your data is normally distributed, then approximately 68% of your data points fall between one standard deviation below the mean, and one standard deviation above the mean. In the case of your data, this would mean 68% of students scored between roughly 63 and 95, and conversely 32% scored either above 95 or below 63. This gives a practical way to understand what your standard deviation is telling you (again, under the assumption that your data is normal). If you would have expected a greater percentage to fall between 63 and 95, then your standard deviation may be considered large, and if you would have expected a smaller percentage, then your standard deviation may be considered small.
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I believe that standard deviation is a tool to compare two data sets or more. Thus, the higher standard deviation of dataset will be the one considered large where data are more spread-out in relationships to the mean. On the other hand, a lower standard deviation will be considered small.
Also, it is a tool to evaluate how the numbers are spread-out from one data set.
the standard deviation could be considered big or small based on whatever reason the data set is serving. Example salaries of entry-level jobs, run-time of one mile for a particular sport team. for the sport team, you may have one athlete that is way faster than the others. Thus, we can use standard deviation to see how far he is above the mean. bottom line. it depends on how you want to use your data. If you think it is small, it is small. if you think it is big, it i
Surveyking
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Standard Deviation & Variance Calculator | SurveyKing
A low standard deviation and variance indicates that the data points tend to be close to the mean (average), while a high standard deviation and variance indicates that the data points are spread out over a wider range of values.
Standard Deviation Calculator
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How to Interpret Standard Deviation Results
Remember, a low standard deviation signifies consistency, while a high standard deviation denotes variability. Here's to making confident, data-driven decisions! ... Standard Deviation vs. Mean: What's the Difference? ... Understanding Variance vs.
National Library of Medicine
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Standard Deviation - Finding and Using Health Statistics - NIH
A standard deviation (or ฯ) is a measure of how dispersed the data is in relation to the mean. Low, or small, standard deviation indicates data are clustered tightly around the mean, and high, or large, standard deviation indicates data are more spread out.
Statistics By Jim
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Standard Deviation: Interpretations and Calculations - Statistics By Jim
September 24, 2025 - Dear Jim, The population standard deviation is underestiamated and thus biased if the Bessel correction is not applied to small samples. However, navigating the Internet indicates that the population variance may not be biased if estimated from the common formula based on the sum of squares and number of observations.