When Gramma was passing out the cookies to us kids, we always hoped for symmetrical distribution. Each of use should have gotten the same number and same size and same kind of cookies. Except...Jessie always got the biggest chocolate chip cookie. Always.
In stats, a symmetrical distribution is one that can be sliced in half, producing two halves that are mirror images (or close to mirror images) of each other. The Normal curve is a perfect example. If we slice that bad boy right down the middle at the mean, we get two perfectly identical halves that are mirror images of each other.
The Distribution is Normal. The volume under any sigma on either side of the center line is equal, symmetrical...like beauty in a modeling magazine.
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