###### Asked in Math and Arithmetic, Statistics, Probability
Math and Arithmetic
Statistics
Probability

# What is the value of z if the area between -z and z is 0.754?

###### 03/25/2010

Since the normal distribution is symmetric, the area between -z and 0 must be the same as the area between 0 and z. Using this fact, you can simplify this problem to finding a z such that the area between 0 and z is .754/2=.377. If you look this value up in a z-table or use the invNorm on a calculator, you will find that the required value of z will be 1.16. Therefore, the area between -1.16 and 1.16 must be approximately .754.