Maybe I've been on Boards too long, but I wish people would understand some basic things about Statistics. In many threads here, and in the media, you can see a lack of understanding every day. People who don't get what Statistics can and can't do could at least start with the following:
- Statistics works with probabilities, not certainties.
- Statistics works with populations, not individuals.
- Statistics describe reality without judgement.
For example: the average adult male height in Ireland is 177.5 cm*. What do we learn from that?
- "are all Irish men that tall?" No, obviously.
- "Is there an "average man" who is that height?" The media seems to like this one, but it's irrelevant.
- If you are much shorter than that, is there something wrong with you? Possibly, but
irrelevant, The statistics just describe how things are, not how they should be. No judgment.
Now go to the Netherlands, where the average adult male height is 183.8 cm*, among the tallest in the world at the moment.
- "are all Dutch men taller than all Irish men?" No.
- "are Dutch men taller on average?" Yes.
- "Only 6cm? Have you seen their football team?" The football team isn't a representative sample: they've been selected for fitness factors which may include height.
- "but ... but ... I know a Dutch man, and I'm taller!" Doesn't matter. The statistics describe the population, not individuals.
- "but that contradicts the statistics!" No, it doesn't. Both populations naturally include people who are much taller and shorter than the average.
This is something I see here a lot. Posters thinking that, because they've found something that doesn't match the statistics, the statistics are wrong. Nope. Sure, statistics can be wrong, and they definitely can be misused, but the existence of "exceptions" doesn't invalidate them at all. The population of Ireland includes some very tall men, and they are included in the statistics, but you're still shorter than Dutch men
on average.
* source:
Wikipedia
(This was originally for the "Trivial Things That Annoy You" thread, but then I realised it's not Trivial. If I put this in the Maths forum, they'd be going "well, duh".

)