Q: What does the standard deviation tell us?

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

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.

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

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.

difference standard deviation of portfolio

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The standard deviation tells us nothing about the mean.

the variation of a set of numbrs

US IQ standard Deviation is 16.

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

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

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

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.

44.9

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

The standard deviation of the population. the standard deviation of the population.

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.

Standard Deviation tells you how spread out the set of scores are with respects to the mean. It measures the variability of the data. A small standard deviation implies that the data is close to the mean/average (+ or - a small range); the larger the standard deviation the more dispersed the data is from the mean.