Re: Standard Deviation & the 68-95-99.7 rule

In article
<d7a79ac4-85ed-4dc8-bcf7-d85deeabd25f@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
Maya <maya_souj@xxxxxxxxxxx> wrote:

At the bottom of the intro to the Wikipedia entry on the 68-95-99.7
rule, it states:

"This rule is often used to quickly get a rough estimate of
something's probability, given its standard deviation."

What " thing's " probability could I estimate, given the thing's
standard deviation? Let's say I have this data set: {6, 6, 8, 8} .
It's standard deviation is 1. So, given its "1", I can estiate the
probability of ..... what?

The full statement of the 68-95-99.7 rule is something like:

If the data your are dealing with is known to come from a
normally, or nearly normally, distributed population, then
the probability of a randomly selected member of that
population falling within 1 , 2, or 3 standard deviations
of the mean will be roughly 68%, 95% or 99.7%, respectively.
.

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