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What are the applications of dispersion without deviation?

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Updated: 4/28/2022

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Q: What are the applications of dispersion without deviation?

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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.

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.

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.

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Related Questions

What is meant by dispersion without deviation?

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...

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 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.

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.

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 the relative dispersion with the mean of 45000 and a standard deviation of 9000?

Relative dispersion = coefficient of variation = (9000/45000)(100) = 20.

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.

Why do you seldom use the mean or average deviation as a measure of dispersion?

because of grace severo

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)

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

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