I found this rather interesting and dug into it a little deeper.
The code to get the average color of a bitmap found at How to calculate the average rgb color values of a bitmap had problems like some invalid casts and red/blue channels swapped. Here is a fixed version:
private System.Drawing.Color CalculateAverageColor(Bitmap bm)
{
int width = bm.Width;
int height = bm.Height;
int red = 0;
int green = 0;
int blue = 0;
int minDiversion = 15; // drop pixels that do not differ by at least minDiversion between color values (white, gray or black)
int dropped = 0; // keep track of dropped pixels
long[] totals = new long[] { 0, 0, 0 };
int bppModifier = bm.PixelFormat == System.Drawing.Imaging.PixelFormat.Format24bppRgb ? 3 : 4; // cutting corners, will fail on anything else but 32 and 24 bit images
BitmapData srcData = bm.LockBits(new System.Drawing.Rectangle(0, 0, bm.Width, bm.Height), ImageLockMode.ReadOnly, bm.PixelFormat);
int stride = srcData.Stride;
IntPtr Scan0 = srcData.Scan0;
unsafe
{
byte* p = (byte*)(void*)Scan0;
for (int y = 0; y < height; y++)
{
for (int x = 0; x < width; x++)
{
int idx = (y * stride) + x * bppModifier;
red = p[idx + 2];
green = p[idx + 1];
blue = p[idx];
if (Math.Abs(red - green) > minDiversion || Math.Abs(red - blue) > minDiversion || Math.Abs(green - blue) > minDiversion)
{
totals[2] += red;
totals[1] += green;
totals[0] += blue;
}
else
{
dropped++;
}
}
}
}
int count = width * height - dropped;
int avgR = (int)(totals[2] / count);
int avgG = (int)(totals[1] / count);
int avgB = (int)(totals[0] / count);
return System.Drawing.Color.FromArgb(avgR, avgG, avgB);
}
Running this function on your input images, however, returned some indistinguishable grayish color for both of them, as already anticipated by Will A in the comments, which is why i'm dropping any colors from the calculation that do not have a difference of at least 15 between R, G and B.
The interesting thing is that the supposedly blue prescription scan averages equal values for G and B (R: 214, G: 237, B: 237). However the green prescription scan resulted in a big difference (18) between the values for G and B (R: 202, G: 232, B: 214) so that might be what you should be looking into. Ex:
if (color.G - color.B > 15) { form.Type = FormTypes.GreenForm }
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