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Q: What is a measure of the width of a distribution of a set of numbers that includes the range the iqr and standard deviation?
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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 standard deviation is best measure of dispersion?

standard deviation is best measure of dispersion because all the data distributions are nearer to the normal distribution.


What is standard deviation in psychology?

Standard deviation is a statistical measure. It may be used in psychology but is not restricted to that subject. It is a measure of the spread of the distribution of values of some attribute that is being measured.


What standard deviation tells us about a distribution?

It is a measure of the spread of the distribution: whether all the observations are clustered around a central measure or if they are spread out.


Is standard deviation a statistic associated with a study?

No, it is a statistical measure of the spread of a distribution of some variable.


Will increasing the frequency of scores in the tails of a distribution effect the standard deviation How or Why?

Yes. It will increase the standard deviation. You are increasing the number of events that are further away from the mean, and the standard deviation is a measure of how far away the events are from the mean.


What is a 1.66 standard deviation in percentage?

The standard deviation is a measure of spread in a distribution, and 1.66 sd is a measure of a multiple of that interval. What that represents, in percentage terms, depends on the distribution, and whether the 1.66 sd is on one side of the mean or both. In view of the missing information, there can be no simple answer.


What are importance of mean and standard deviation in the use of normal distribution?

For data sets having a normal distribution, the following properties depend on the mean and the standard deviation. This is known as the Empirical rule. About 68% of all values fall within 1 standard deviation of the mean About 95% of all values fall within 2 standard deviation of the mean About 99.7% of all values fall within 3 standard deviation of the mean. So given any value and given the mean and standard deviation, one can say right away where that value is compared to 60, 95 and 99 percent of the other values. The mean of the any distribution is a measure of centrality, but in case of the normal distribution, it is equal to the mode and median of the distribtion. The standard deviation is a measure of data dispersion or variability. In the case of the normal distribution, the mean and the standard deviation are the two parameters of the distribution, therefore they completely define the distribution. See: http://en.wikipedia.org/wiki/Normal_distribution


Do units of measure follow the standard deviation?

Units of measure do follow the standard deviation.


What is standard deviation used for?

Standard deviation is a measure of the spread of data.


What does standard deviation provide when measuring the range of possible outcomes of a distribution?

It is a measure of the spread of the outcomes around the mean value.


Why do we need the standard deviation?

The standard deviation is a measure of the spread of data.