> However, it seems that people still expect that if you put gigabytes or petabytes worth of wrong figures into a machine that somehow the right answer will pop out.
The interesting fact is that if you put in lots of correct figures, and only one, slightly wrong figure, then the answer may be correct to an acceptable degree.
For example, take 100 values, all exactly one, and find the mean. You'll find 1.
If you take 99 values of exactly one and one value of two, the mean of your sample will be 1.01, which is close enough to still be useful. In some interpretations, it may even be rounded to 1, meaning that in some circumstances, incorrect figures can indeed sometimes lead to correct answers.
Or if you're trying to find out what adding 1 and 4 gives you, but accidentally you add 2 and 3, you get the correct answer despite incorrect inputs.
I think people are assuming that if you put gigabytes or petabytes worth of data into a machine, the number of 'wrong figures' will be lost as noise.