Applications with Standard Normal Distribution — Unit test

Question 11 • Common Core Algebra II - MA3111 B-IC

Dwayne and Alisha both correctly graphed a standard normal curve. Which of the following statements is true?

Answer

Neither the means nor the standard deviations of Dwayne’s and Alisha’s graphs must be the same.

The means of Dwayne’s and Alisha’s graphs must be the same but not the standard deviations.

The standard deviations of Dwayne’s and Alisha’s graphs must be the same but not the means.

Both the means and the standard deviations of Dwayne’s and Alisha’s graphs must be the same.

Explanation

A standard normal curve is specifically the normal distribution with mean 0 and standard deviation 1. Since Dwayne and Alisha both graphed a standard normal curve, both graphs must have the same mean and the same standard deviation. Therefore, the correct statement is that both must be the same.

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