Problems using Photoshop CS3 to calculate pixel areas

Is there a known problem with CS3 Photoshop when using it to calculate how many pixels are contained within selected areas when they are complex shapes? I am trying to do some calculations and for simple areas it is very good but for other areas it comes up with blatantly incorrect values. For example if you create a matrix of tangent circles within a rectangle and start looking at the areas of the circles and the intervening spaces between the circles and or between the circles and the enclosing rectangle surrounding the edges of the outermost circles, and then start to use the "Histogram" window/panel (I'm using Mac version of CS3 Photoshop) the number of pixels is way off sometimes. I've notice that there is sometimes a warning icon in the Histogram panel that says "Click for Histogram with uncached data" and when that is done then beleivable numbers are shown.
So why would the "cached" data be so far off when doing these sorts of calculations??
Thanks for any suggestion on how to accurately compute areas this way.
-Bob
ps - I tried to post a version of the file but it's over the 2MB limit - if you want to see the exact file I'm playing with let me know and will be happy to send a copy so you can see what I'm talking about.

Paolo,
What does "representative sample" really mean?
The funny thing is that for some areas (circles for example) the number in the Histogram was very accurate, but complex shapes were horriblly inaccurate (off by about a factor of 4-5). The complex areas involved combinations of other smaller circular areas, so have trouble understanding why these areas would be so far off compared to circles. None of the areas in question were rectangular, but some sides of the regions did have one or two straight edges along with the circular other edges.
Anyway, glad to read that it's a known issue and there is a way around the problem to get at an accurate number.
Thanks for the suggestion - will keep that in mind for next time I do this.
-Bob

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