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How would you compare the dispersion of three data sets?
Variance: Deduct the mean from each data in the set then squaring each of them and adding each square and finally dividing them by the total no of values in the data set is the variance. Variance (σ2)=∑(X−μ)2/N. Standard Deviation: The square root of the variance is known as the standard deviation i.e. S.D.
How do you describe data dispersion?
In statistics, dispersion (also called variability, scatter, or spread) is the extent to which a distribution is stretched or squeezed. Common examples of measures of statistical dispersion are the variance, standard deviation, and interquartile range.
What is the application of dispersion?
Material dispersion can be a desirable or undesirable effect in optical applications. The dispersion of light by glass prisms is used to construct spectrometers and spectroradiometers. Holographic gratings are also used, as they allow more accurate discrimination of wavelengths.
How to compare dispersion of data in statistics?
If you want to know what measures lengths more exactly, a microscope or a measuring stick, you compare the absolute standard deviation. In a related matter it depends on how you interpret your dataset, the way you ask your second question and the way you drew the datasets suggests you think of them as histograms.
What are the different types of dispersion measures?
Types of Measures of Dispersion. There are two main types of dispersion methods in statistics which are: Absolute Measure of Dispersion; Relative Measure of Dispersion; Absolute Measure of Dispersion. An absolute measure of dispersion contains the same unit as the original data set.
How is dispersion used in a scoring system?
Dispersion is used to measure the variability in the data or to see how spread out the data is. It measures how much the scores in a distribution vary from the typical score.
When to use the co-efficient of dispersion?
Co-efficient of Dispersion The coefficients of dispersion are calculated (along with the measure of dispersion) when two series are compared, that differ widely in their averages. The dispersion coefficient is also used when two series with different measurement units are compared. It is denoted as C.D.