Which of the following is true of normal distributions?
A) The mean, median, and mode are all equal.
B) Its measure of skewness is always greater than 1.
C) The range of the random variable X is bounded.
D) Mathematical formulas make it easier to compute normal distributions.

Question

Quizplus · Accepted Answer

In a normal distribution, the mean, median, and mode are all equal. This is one of the defining characteristics of a normal distribution. Option B is incorrect because a normal distribution has a skewness of 0 by definition. Option C is also incorrect, as the range of a normal variable is unbounded. Option D is partially true, as there are mathematical formulas to compute probabilities and percentiles for normal distributions, but this may not necessarily make it easier for everyone to compute.

Which of the Following Is True of Normal Distributions