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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...
What else can I help you with?
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.)
Is the normal distribution always being defined by the mean and standard deviation?
Yes, the normal distribution is uniquely defined by its mean and standard deviation. The mean determines the center of the distribution, while the standard deviation indicates the spread or dispersion of the data. Together, these two parameters specify the shape and location of the normal distribution curve.
How do you calculate plus or minus one standard deviation?
To calculate plus or minus one standard deviation from a mean, first determine the mean (average) of your data set. Then calculate the standard deviation, which measures the dispersion of the data points around the mean. Once you have both values, you can find the range by adding and subtracting the standard deviation from the mean: the lower limit is the mean minus one standard deviation, and the upper limit is the mean plus one standard deviation. This range contains approximately 68% of the data in a normal distribution.
What are the applications of dispersion without deviation?
no
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
