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Not necessarily. The standard deviation measures (in simplified terms) how different the numbers are from each other, while the mean is their average. If the standard deviation decreases, it means the numbers are closer to each other, it doesn't change how big the numbers are.

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4y ago

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Q: If the standard deviation decreases does the mean decrease?
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Related questions

What will happen if the difference between scores and the mean decreases?

The variance and the standard deviation will decrease.


When the size of a representative sample increases does the mean range median or standard deviation decrease?

mean


If quartile deviation is 24. find mean deviation and standard deviation?

Information is not sufficient to find mean deviation and standard deviation.


A standard normal distribution has a mean of and standard deviation of?

Mean 0, standard deviation 1.


What is the mean and standard deviation for the standard normal curve?

Mean = 0 Standard Deviation = 1


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.


How is the mean related to standard deviation?

Mean and standard deviation are not related in any way.


Can standard deviation be greater than mean?

Standard deviation can be greater than the mean.


Relation between mean and standard deviation?

Standard deviation is the variance from the mean of the data.


What does one standard deviation mean?

Standard deviation is a measure of variation from the mean of a data set. 1 standard deviation from the mean (which is usually + and - from mean) contains 68% of the data.


Is the standard deviation best thought of as the distance from the mean?

No. A small standard deviation with a large mean will yield points further from the mean than a large standard deviation of a small mean. Standard deviation is best thought of as spread or dispersion.


Is the standard deviation dependent on the mean?

Yes. Consider the definition of the standard deviation. It is the square root of the variance from the mean. As a result, it can be said that the standard deviation is dependent on the mean.