How to normalize a list of int values

Question

I have a list of int values:

List<int> histogram;

How do I normalize all values so that the max value in the list is always 100?

Answer 1

To normalize a set of numbers that may contain negative values,
and to define the normalized scale's range:

List<int> list = new List<int>{-5,-4,-3,-2,-1,0,1,2,3,4,5};
double scaleMin = -1; //the normalized minimum desired
double scaleMax = 1; //the normalized maximum desired

double valueMax = list.Max();
double valueMin = list.Min();
double valueRange = valueMax - valueMin;
double scaleRange = scaleMax - scaleMin;

IEnumerable<double> normalized = 
    list.Select (i =>
        ((scaleRange * (i - valueMin))
            / valueRange)
        + scaleMin);