Considering the properties of the normal curve,if we know the mean and standard deviation,we are then able to calculate the ______ under the curve between any score and the mean.
A)range
B)area
C)mean
D)mode

Question

Quizplus · Accepted Answer

The area under the curve between any score and the mean can be calculated if we know the mean and standard deviation of the normal distribution. This is because the normal curve is symmetric and its total area is equal to 1. Therefore, we can calculate the area under the curve between any two points by finding the difference between their z-scores (i.e., the number of standard deviations they are from the mean) and then consulting a normal distribution table or using a statistical software program to find the corresponding area.

Considering the Properties of the Normal Curve,if We Know the Mean