The mean can take on any value and the standard deviation can take on any positive value.Therefore,
A) scores above the mean are distributed the same as scores below the mean.
B) extreme scores are possible in a normal distribution.
C) there are an infinite number of possible normal distributions.
D) this characteristic has no practical implication.

Question

Quizplus · Accepted Answer

Since both the mean and standard deviation can vary independently to take on any value and there are infinite values that they could take, there are also an infinite number of possible normal distributions. Therefore, option C is the best choice.

The Mean Can Take on Any Value and the Standard