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By law in some countries, speedos cannot read low. So most BMW speedos (like other Euro cars) read from about 1 to 5% high - but each car seems to vary, so there seems to be no evidence that BMW programs them high. My experience has been that the OBC will provide an accurate speed reading which which you can calibrate the speedo.
And re the odometer, while the readings are not tied to the speedo as in older cars, my 128i odo actually reads a bit over 1% low. Applying this correction, the speedo is accurate within 1%.
Regarding re-calibration, different tires create only a minimal speedo/odo difference, although I have heard of some dealers willing to try to correct large errors by physically bending the needle! (I sincerely hope this was tongue-in-cheek.)
Tom
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