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What a large standard deviation means?

A large standard deviation means that the data were spread out. It is relative whether or not you consider a standard deviation to be "large" or not, but a larger standard deviation always means that the data is more spread out than a smaller one. For example, if the mean was 60, and the standard deviation was 1, then this is a small standard deviation. The data is not spread out and a score of 74 or 43 would be highly unlikely, almost impossible. However, if the mean was 60 and the standard deviation was 20, then this would be a large standard deviation. The data is spread out more and a score of 74 or 43 wouldn't be odd or unusual at all.


What is standard deviation used for?

Standard deviation is a measure of the spread of data.


Can a standard deviation be less than 1?

Yes. Standard deviation depends entirely upon the distribution; it is a measure of how spread out it is (ie how far from the mean "on average" the data is): the larger it is the more spread out it is, the smaller the less spread out. If every data point was the mean, the standard deviation would be zero!


What does standard deviation show us about a set of scores?

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.


What is the relationship between the relative size of the starndard deviation and the kurtosis of a distribution?

It is inversely proportional; a larger standard deviation produces a small kurtosis (smaller peak, more spread out data) and a smaller standard deviation produces a larger kurtosis (larger peak, data more centrally located).


Why do we need the standard deviation?

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


What is the standard deviation?

The standard deviation of a set of data is a measure of the spread of the observations. It is the square root of the mean squared deviations from the mean of the data.


Describes how spread out data set is?

(As in Jeopardy) - What is "standard deviation"?


How can one determine the value of sigma in a statistical analysis?

In statistical analysis, the value of sigma () can be determined by calculating the standard deviation of a set of data points. The standard deviation measures the dispersion or spread of the data around the mean. A smaller standard deviation indicates that the data points are closer to the mean, while a larger standard deviation indicates greater variability. Sigma is often used to represent the standard deviation in statistical formulas and calculations.


What describes the spread of data?

Range, variance, and standard deviation usually are used to describes the spread of data.


What is the s d?

Standard deviation (SD) is a measure of the amount of variation or dispersion in a set of values. It quantifies how spread out the values in a data set are from the mean. A larger standard deviation indicates greater variability, while a smaller standard deviation indicates more consistency.


What is the minimum data required for standard deviation?

The standard deviation is a measure of how spread out the numbers are. Three points is needed to calculate a statistically valid meaningful standard deviation.