In order to apply this class to the study of a data set it is necessary to first
set the data set and then apply the business methods to it.
Setting the Data Set
The data set is set using the method SetDataSet. Once
a data set has been set we are able to study the set's quantitative properties by applying
the business methods contained within this class.
Business Methods available
This class offers the following business methods based around the concepts of
measuring the location, variability, and relative location of the data set which has
been set to the instance of the class:
Measures of Centrality
ArithmeticMean - The arithmetic mean of the most widely used measure
the location of the `center' on a data set.
Median - is the value in the middle when the data items
are arranged in ascending order.
Mode - is the data value that occurs with greatest frequency.
GeometricMean - The geometric mean of the elements of the data set.
WeightedAverage - Evaluates the weighted average of the
registered data set.
Measures of Dispersion
Range - is the difference between the last item and the first item.
IqRange - Interquartile Range is the difference between the third
quartile and the first quartile.
MeanDeviation - Evaluates the arithmetic mean of the absolute distance
from the mean of the registered data set.
SampleVariance - Evaluates the Sample Variance of the registered data set.
SampleStdDeviation - Evaluates the Standard Deviation which is just the
square root of the sample variance.
CoefficientOfVariation - The Coefficient of Variation is a relative measure
of the standard deviation compared to the mean of the data set considered.
Measures of Relative Location
Percentile - The pth Percentile - is a value such
at least p percent of the items take this value or less and at least
(100-p) percent of the items take this value or more.
ZScore The z-Score is the number of standard deviations from the
mean. It is often called the standardized value.
ChebyshevTheorem - The Chebyshev's Theorem enables us to make
statements about the percentage of items that must be within a specified number of
standard deviations from the mean.