Determine if the following statement is true or false. The normal curve is symmetric about its​ mean, . Choose the best answer below. A. The statement is true. The mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean. B. The statement is false. The normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. The median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ Therefore, the normal curve could only be symmetric about its​ median, not about its mean. C. The statement is false. The mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. D. The statement is true. The normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ Therefore, the normal curve is symmetric about the​ mean, .