# The distribution of weights of items produced by a manufacturing process can be approximated by a normal distribution with a mean of 90 grams and a standard deviation of 1 gram. Using the empirical rule, what percentage of the items will either weigh less than 88 grams or more than 92 grams?

##### 1 Answer

Mar 5, 2015

The empirical rule:

Which means that on each side of the mean *within* one

On each side 13.5% is between

If we add up

Since

**Answer: #100%-95%=5%#**

2.5% weigh less than 88 g and 2.5% weigh more than 92 g.

*(wikipedia)*