Statistics

Calculate mean value.

The input array is treated as histogram, i.e. its indexes are treated as values of stochastic function, but array values are treated as "probabilities" (total amount of hits).

Sample usage:

 // create histogram array
 int[] histogram = new int[] { 1, 1, 2, 3, 6, 8, 11, 12, 7, 3 };
 // calculate mean value
 double mean = Statistics.Mean( histogram );
 // output it (5.759)
 Console.WriteLine( "mean = " + mean.ToString( "F3" ) );
 

Returns mean value.

Calculate standard deviation.

The input array is treated as histogram, i.e. its indexes are treated as values of stochastic function, but array values are treated as "probabilities" (total amount of hits).

Sample usage:

 ' create histogram array
 Dim histogram As Integer() = New Integer() { 1, 1, 2, 3, 6, 8, 11, 12, 7, 3 }
 ' calculate standard deviation value
 Dim stdDev = Statistics.StdDev( histogram )
 '' output it (1.999)
 Console.WriteLine( "std.dev. = " & stdDev.ToString( "F3" ) )

Returns value of standard deviation.

Calculate standard deviation.

The input array is treated as histogram, i.e. its indexes are treated as values of stochastic function, but array values are treated as "probabilities" (total amount of hits).

The method is an equevalent to the Statistics.StdDev() method, but it relieas on the passed mean value, which is previously calculated using Statistics.Mean() method.

Returns value of standard deviation.

Calculate median value.

The input array is treated as histogram, i.e. its indexes are treated as values of stochastic function, but array values are treated as "probabilities" (total amount of hits).

The median value is calculated accumulating histogram's values starting from the left point until the sum reaches 50% of histogram's sum.

Sample usage:

 // create histogram array
 int[] histogram = new int[] { 1, 1, 2, 3, 6, 8, 11, 12, 7, 3 };
 // calculate median value
 int median = Statistics.Median( histogram );
 // output it (6)
 Console.WriteLine( "median = " + median );
 

Returns value of median.

Get range around median containing specified percentage of values.

The input array is treated as histogram, i.e. its indexes are treated as values of stochastic function, but array values are treated as "probabilities" (total amount of hits).

The method calculates range of stochastic variable, which summary probability comprises the specified percentage of histogram's hits.

Sample usage:

 // create histogram array
 int[] histogram = new int[] { 1, 1, 2, 3, 6, 8, 11, 12, 7, 3 };
 // get 75% range around median
 IntRange range = Statistics.GetRange( histogram, 0.75 );
 // output it ([4, 8])
 Console.WriteLine( "range = [" + range.Min + ", " + range.Max + "]" );
 

Returns the range which containes specifies percentage of values.

Calculate mode value.

The input array is treated as histogram, i.e. its indexes are treated as values of stochastic function, but array values are treated as "probabilities" (total amount of hits).

Returns the minimum mode value if the specified histogram is multimodal.

Sample usage:

 // create array
 int[] values = new int[] { 1, 1, 2, 3, 6, 8, 11, 12, 7, 3 };
 // calculate mode value
 int mode = Statistics.Mode( values );
 // output it (7)
 Console.WriteLine( "mode = " + mode );
 

Returns mode value of the histogram array.