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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.

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1mo ago

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What does the standard deviation tell us about the mean?

The standard deviation tells us nothing about the mean.


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 about distribution?

How widely spread out, or tightly concentrated about the mean it is.


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 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.


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 does the standard deviation tell us?

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


What does standard deviation tell you about a measurement?

Standard deviation measures the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean, suggesting consistency in the measurements, while a high standard deviation signifies that the values are spread out over a wider range, indicating greater variability. It provides insight into the reliability and consistency of the data, helping to assess the degree of uncertainty associated with the measurements.


What does the number from the standard deviation tell us?

the variation of a set of numbrs


What would the Z score be if Z equals 0 and Z equals -1.41?

1.41


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.


What does the standard deviation of a set of data tell you?

It tells you how much variability there is in the data. A small standard deviation (SD) shows that the data are all very close to the mean whereas a large SD indicates a lot of variability around the mean. Of course, the variability, as measured by the SD, can be reduced simply by using a larger measurement scale!