SOLUTION: Find the standard score (z) for which 50% of the area under the normal curve is below the mean.

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Question 910986: Find the standard score (z) for which 50% of the area under the normal curve is below the mean.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
z = 0 is at the exact center of the standard normal distribution.

Since we have perfect symmetry about the center, this means that 50% of the distribution is below z = 0. The other 50% is above z = 0.

z = 0 is an arbitrary number that was picked by convention a long time ago. Zero was chosen since it's a small easy number to work with and because you can work with positive and negative numbers (to the right and left of 0)