Standard Deviation Definition
Variation (dispersion) is the property of deviation of values from the average.
The degree of
variation is indicated by the measures of variation.
There are various measures of variation
and the commonly used are
1) Range
2)...
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Standard Deviation Definition
Variation (dispersion) is the property of deviation of values from the average.
The degree of
variation is indicated by the measures of variation.
There are various measures of variation
and the commonly used are
1) Range
2) Mean deviation
3) Standard Deviation and
4) Quartile deviation.
The range is based only on the lowest and the highest values.
Quartile deviation is based only
on the quartiles, and not based on values.
Mean deviation is based on values nut it is not
convenient for mathematical analysis.
So, we consider standard deviation which is based on
all the values.
The standard deviation of a set of values is the positive square root of mean of the standard
deviations of the values from their arithmetic mean.
It is denoted by σ (sigma).
Measures of
dispersion are statistical devices to measure the variability or dispersion in a series.
They tell
us the extent to which the values of the series differ between each other or from their aver
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