Gets the standard deviation
/*
Copyright (c) 2010 <a href="http://www.gutgames.com">James Craig</a>
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The above copyright notice and this permission notice shall be included in
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IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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THE SOFTWARE.*/
namespace Utilities.Math
{
/// <summary>
/// Various math related functions
/// </summary>
public static class MathHelper
{
#region Public Static Functions
/// <summary>
/// Gets the mean value from a list
/// </summary>
/// <param name="Values">The list of values</param>
/// <returns>The mean/average of the list</returns>
public static double Mean(System.Collections.Generic.List<int> Values)
{
if (Values.Count == 0)
return 0.0;
double ReturnValue = 0.0;
for (int x = 0; x < Values.Count; ++x)
{
ReturnValue += Values[x];
}
return ReturnValue / (double)Values.Count;
}
/// <summary>
/// Gets the mean value from a list
/// </summary>
/// <param name="Values">The list of values</param>
/// <returns>The mean/average of the list</returns>
public static double Mean(System.Collections.Generic.List<double> Values)
{
if (Values.Count == 0)
return 0.0;
double ReturnValue = 0.0;
for (int x = 0; x < Values.Count; ++x)
{
ReturnValue += Values[x];
}
return ReturnValue / (double)Values.Count;
}
/// <summary>
/// Calculates the variance of a list of values
/// </summary>
/// <param name="Values">List of values</param>
/// <returns>The variance</returns>
public static double Variance(System.Collections.Generic.List<double> Values)
{
if (Values == null || Values.Count == 0)
return 0;
double MeanValue = Mean(Values);
double Sum = 0;
for (int x = 0; x < Values.Count; ++x)
{
Sum += System.Math.Pow(Values[x] - MeanValue, 2);
}
return Sum / (double)Values.Count;
}
/// <summary>
/// Gets the standard deviation
/// </summary>
/// <param name="Values">List of values</param>
/// <returns>The standard deviation</returns>
public static double StandardDeviation(System.Collections.Generic.List<double> Values)
{
return System.Math.Sqrt(Variance(Values));
}
#endregion
}
}
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