re: "Half the schools are below average" - not always true

quote:

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NOT GENERALLY TRUE This only happens if the underlying distribution of scores is normal.

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Well since the normal distribution is the the most commonly occurring distribution and not the only distribution that the mean is a measure of central tendency and the expected value, then it is often true. So generally is an appropriate description.

Not only have you incorrectly argued most of the concepts with cptbengal while throwing out unnecessary insults, your argument isn't even theoretically correct. In other words, you are talking about a sample from a population; however, a general statement that half of the schools will be below the average, we are actually talking about the whole population itself.