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section: Area under sampling distribution of the mean

Below are shown the resulting frequency
distributions each based on 500 means. For N = 4, 4 scores were sampled
from a uniform distribution 500 times and
the mean computed each time. The same method was followed with means
of 7 scores for N = 7 and 10 scores for N = 10.

Two things should be noted about the effect of increasing N:

- The distributions
becomes more and more normal.

- The spread of
the distributions decreases. Click here for
an interactive demonstration of the central limit theorem.

Next section: Area under sampling distribution of the mean