dwayne and alisha both correctly graphed a standard normal curve. which of the following statements is…

dwayne and alisha both correctly graphed a standard normal curve. which of the following statements is true?\nneither the means nor the standard deviations of dwaynes and alishas graphs must be the same.\nthe means of dwaynes and alishas graphs must be the same but not the standard deviations.\nthe standard deviations of dwaynes and alishas graphs must be the same but not the means.\nboth the means and the standard deviations of dwaynes and alishas graphs must be the same.

dwayne and alisha both correctly graphed a standard normal curve. which of the following statements is true?\nneither the means nor the standard deviations of dwaynes and alishas graphs must be the same.\nthe means of dwaynes and alishas graphs must be the same but not the standard deviations.\nthe standard deviations of dwaynes and alishas graphs must be the same but not the means.\nboth the means and the standard deviations of dwaynes and alishas graphs must be the same.

Answer

Explanation:

Step1: Recall properties of standard normal curve

A standard - normal curve has a mean of 0 and a standard deviation of 1.

Step2: Analyze the graphs

Since both Dwayne and Alisha correctly graphed a standard normal curve, the mean of a standard normal curve is always 0 and the standard deviation is always 1 for any correct standard - normal curve graph. So, both the means and the standard deviations of their graphs must be the same.

Answer:

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