static public string findSkew(decimal[] nums)
{
decimal mean = Mean.findMean(nums);
decimal median = Median.findMedian(nums);
if (Mode.findMode(nums).Count == 1)
{
decimal mode = Mode.findMode(nums).First();
if (mean > mode && median > mode)
{
return("Positive Skewness");
}
else if (mode > median && mode > mean)
{
return("Negative Skewness");
}
}
if (mean > median)
{
return("Likely a Positive Skewness");
}
else
{
return("Likely a Negative Skewness");
}
}
static public decimal score(int x, int[] nums)
{
decimal mean = Mean.findMean(nums);
decimal SD = StandardDeviation.findSD(nums);
return(Division.Quotient((x - mean), SD));
}
static public decimal findVariance(int[] nums)
{
decimal total = 0;
decimal mean = Mean.findMean(nums);
foreach (int num in nums)
{
decimal temp = Math.Abs(mean - num);
total += Multiplication.Product(temp, temp);
}
return(Division.Quotient(total, nums.Length));
}
static public decimal findMeanDeviation(int[] arrayList)
{
decimal mean = Mean.findMean(arrayList);
decimal[] meanList = new decimal[arrayList.Length];
for (int i = 0; i < arrayList.Length; i++)
{
meanList[i] = arrayList[i] - mean;
}
decimal result = Mean.findMean(meanList);
return(result);
}
public static decimal findSampleCorrelation(int[] xArray, int[] yArray)
{
decimal xMean = Mean.findMean(xArray);
decimal yMean = Mean.findMean(yArray);
decimal xStandardDev = StandardDeviation.findSD(xArray);
decimal yStandardDev = StandardDeviation.findSD(yArray);
decimal stepOne = 0;
decimal result;
for (int i = 0; i < xArray.Length; i++)
{
stepOne += ((xArray[i] - xMean) * (yArray[i] - yMean));
}
decimal stepTwo = stepOne / (xStandardDev * yStandardDev);
result = (stepTwo / (xArray.Length - 1));
return(result);
}