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Suppose you have a school with 30 groups of students. All students are randomly assigned to the groups (so independent of their skill at IQ tests). The distribu
by markkvdb 7y ago
Suppose you have a school with 30 groups of students. All students are randomly assigned to the groups (so independent of their skill at IQ tests). The distribution of measured IQ within classes can be any distribution. But let’s take the 30 averages of the groups. The mean of these averages of groups (asymptotically) follows the normal distribution according to the CLT.
- throwlaplace 7y agonot the mean of the means - just the means themselves. The distribution of the original population of iqs in the school is what you're sampling. Each group is a sample. The distribution of the sample mean approaches a normal according to clt as the sample sizes increase.
- deleted 7y ago[deleted]