For a bell curve with mean 7 and standard deviation 3, how much area is under the curve, above the horizontal?

1 Answer
May 11, 2018

#Area = 1 " unit"^2#

Explanation:

Given: Bell curve with mean #= mu = 7# and standard deviation #= sigma = 3#.

A bell shape curve has a normal distribution. The peak of the curve is at the mean. The total area under this curve, above the horizontal or #x-#axis is always #1 " unit"^2#.

If you wanted to find the area at a certain location #x# along the horizontal, you would find the z-score using the formula #z = (x - mu)/sigma#, look up the z-score value in a z-table and find the area from the start of the curve up to that #x# value.