# How do you find the z-score for which 76% of the distribution's area lies between -z and z?

##### 1 Answer

Firstly in this question, we need to solve for

we can do this with the sum:

as

we also know that our Standard Normal Distribution is symmetric, so we must divide that

then we find a correlating

and we get that

This becomes easier to understand when visualized, so observe how we do this sum.