Strummer wrote:John_A wrote:Depends on which side of the human intelligence probability density function debate he stands on. If, like many, he assumed that human intelligence is normally distributed, then mean equals median and either, or both, answers are correct.
A class of college students is not a general population sample, quite far from it, so the averages and distributions within that group can not be inferred from the general population distributions.
Let us investigate.
The professor makes a correct statement...average IQ of this class is X (regardless of the parent population from whence it originated). He then makes an implicit assumption of a symmetrical distribution, indicated by locating the median and mean at the same location.
Rockman then pulls a "cute" on said professor, unknown if Rockman understood at the time that his "cute" answer had already been rendered "not cute" because the professor has already broadcast quite plainly that he is talking about a symmetrical distribution with the mean and median occupying the same value.
Rockman, can you clear this up for us? Were you even aware that the professor had already implied a symmetric distribution whereby the mean and median were the same value, thereby rendering your "its a median" comment irrelevant? Was this a stat's class prof, someone who could be expected to understand themselves that they had just dictated a symmetrical distribution, or just someone pretending to be statistically inclined because lets face it, if he/she was teaching a geology course he already knew that the real math/stats courses were being handled elsewhere?
Was it YOU who assumed a symmetrical distribution of human intelligence on general principles and then focused on the 50/50 split without realizing that the professor had already locked down the distribution type to be symmetrical? Or something else in the story you haven't yet told us yet?
45ACP: For when you want to send the very best.