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standard deviation is the square roots of variance, a measure of spread or variability of data . it is given by (variance)^1/2

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What does standard deviation tell about distribution and varity?

It is a measure of the spread of the distribution. The greater the standard deviation the more variety there is in the observations.


Why is the mean the standard partner of the standard deviation?

The mean and standard deviation often go together because they both describe different but complementary things about a distribution of data. The mean can tell you where the center of the distribution is and the standard deviation can tell you how much the data is spread around the mean.


What are the assumptions of standard deviation?

The standard deviation is the standard deviation! Its calculation requires no assumption.


What can a standard deviation tell us about the usefulness of the mean?

Standard deviation measures the dispersion or variability of data points around the mean. A low standard deviation indicates that the data points are closely clustered around the mean, suggesting that the mean is a reliable representation of the dataset. Conversely, a high standard deviation signifies greater variability, which may diminish the mean’s usefulness as a summary statistic, as it may not accurately reflect the data's central tendency. Thus, understanding standard deviation helps assess how well the mean represents the underlying data.


What is the difference between standard error of mean and standard deviation of means?

Standard error of the mean (SEM) and standard deviation of the mean is the same thing. However, standard deviation is not the same as the SEM. To obtain SEM from the standard deviation, divide the standard deviation by the square root of the sample size.

Related Questions

What does the standard deviation tell us about the mean?

The standard deviation tells us nothing about the mean.


What does the number from the standard deviation tell us?

the variation of a set of numbrs


US IQ Standard deviation?

US IQ standard Deviation is 16.


What does a large standard deviation tell us?

It means that the data are spread out around their central value.


What does a standard deviation of 0 tell you?

The smaller the standard deviation, the closer together the data is. A standard deviation of 0 tells you that every number is the same.


What is the standard deviation of height in the US population?

The standard deviation of height in the US population is approximately 3 inches.


What does standard deviation tell about distribution and varity?

It is a measure of the spread of the distribution. The greater the standard deviation the more variety there is in the observations.


Why is the mean the standard partner of the standard deviation?

The mean and standard deviation often go together because they both describe different but complementary things about a distribution of data. The mean can tell you where the center of the distribution is and the standard deviation can tell you how much the data is spread around the mean.


What does standard deviation tell us about the data?

Standard deviation measures the dispersion or variability of a dataset by quantifying how much individual data points deviate from the mean. A low standard deviation indicates that the data points are clustered closely around the mean, while a high standard deviation signifies that they are spread out over a wider range. This statistic helps in understanding the consistency of the data and is crucial for interpreting the reliability of statistical analyses.


What is the standard deviation of the us presidents' age?

44.9


What are the assumptions of standard deviation?

The standard deviation is the standard deviation! Its calculation requires no assumption.


How do you identify group data or ungroup data in standard deviation?

You cannot. If you are told the standard deviation of a variable there is no way to tell whether that was derived from grouped or ungrouped data.

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