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when a ray of light enters two specifically arranged prisms and disperese i.e. splits into characteristic colours without suffering any deviation inside the prisms(the magnitude of deviation for both the prisms is same and in opposite direction, so net deviation is zero); its called dispersion without deviation...
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Define mean absolute deviation?
The average mean absolute deviation of a data set is the average of the absolute deviations from a central point. It is a summary statistic of statistical dispersion or variability.
What is difference between absolute measure of dispersion and relative measures of dispersion?
The Absolute Measure of dispersion is basically the measure of variation from the mean such as standard deviation. On the other hand the relative measure of dispersion is basically the position of a certain variable with reference to or as compared with the other variables. Such as the percentiles or the z-score.
How do you find deviation mean?
There is no such thing. Maybe your professor meant , Standard Deviation, The Mean. (2 different things.)
What is the purpose of mean absolute deviation?
Various answers to this question are possible.The mean absolute deviation (MAD) is a measure of the dispersion or spread of a sample or a population. So one of its purposes is as a measure.As such it's an alternative to the standard deviation that is said to be more robust in the sense that the sample MAD can be used to provide more accurate estimates of the population dispersion because it is less sensitive to outliers.Beyond this, some distributions that have no standard deviations do have MADs; for example, the Cauchy. This means that the dispersions of virtually all distributions can be compared in terms of their MADs.Please see the link.
Can a standard deviation of 4.34 be correct?
Yes, a standard deviation of 4.34 can be correct. Standard deviation is a measure of dispersion or variability in a data set. It represents the average amount by which individual data points deviate from the mean. Therefore, a standard deviation of 4.34 simply indicates that there is some variability in the data, with data points on average deviating by 4.34 units from the mean.
What are the applications of dispersion without deviation?
no
What the condition for dispersion without deviation?
For dispersion without deviation, the incident light ray needs to hit the surface of the prism perpendicularly, and the prism must have a symmetrical shape and uniform density throughout. This ensures that each color component of the light ray undergoes an equal but opposite deviation, resulting in no net deviation of the light ray as a whole.
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.
Does standard deviation and mean deviation measure dispersion the same?
No. The average of the deviations, or mean deviation, will always be zero. The standard deviation is the average squared deviation which is usually non-zero.
What is the relative dispersion with the mean of 45000 and a standard deviation of 9000?
Relative dispersion = coefficient of variation = (9000/45000)(100) = 20.
Why standard deviation scores over mean deviation as a more accurate measures of dispersion?
It is not. And that is because the mean deviation of ANY variable is 0 and you cannot divide by 0.
What is numerical measures of dispersion?
There are many:Range,Inter-quartile range,Percentile rangesMean absolute deviation from the mean or medianVarianceStandard deviationStandardised deviation
What is despersion?
Dispersion is an abstract quality of a sample of data. Dispersion is how far apart or scattered the data values appear to be. Common measures of dispersion are the data range and standard deviation.
What is relative measure?
These measures are calculated for the comparison of dispersion in two or more than two sets of observations. These measures are free of the units in which the original data is measured. If the original data is in dollar or kilometers, we do not use these units with relative measure of dispersion. These measures are a sort of ratio and are called coefficients. Each absolute measure of dispersion can be converted into its relative measure. Thus the relative measures of dispersion are:Coefficient of Range or Coefficient of Dispersion.Coefficient of Quartile Deviation or Quartile Coefficient of Dispersion.Coefficient of Mean Deviation or Mean Deviation of Dispersion.Coefficient of Standard Deviation or Standard Coefficient of Dispersion.Coefficient of Variation (a special case of Standard Coefficient of Dispersion)
Why do you seldom use the mean or average deviation as a measure of dispersion?
because of grace severo
Is the standard deviation best thought of as the distance from the mean?
No. A small standard deviation with a large mean will yield points further from the mean than a large standard deviation of a small mean. Standard deviation is best thought of as spread or dispersion.
What are the common measures of dispersion?
Range, standard deviation, variance, root mean square, interquartile range
