In a normal curve, the mean, median, and mode are ______ ______ ______

• A. All the same
• B. All different
• C. Mean equals median
• D. Mode equals mean

Answer: (A)

In a normal curve, symmetry around the center means the center serves as the balancing point, the peak of the density, and the point that divides the area into equal left and right halves. The mode is the point of highest density, which is at the center. The mean is the expected value and equals that center as the balance point of the distribution. The median is the value that splits the area in half, and in a symmetric distribution the half-areas meet at the center as well. Because all three measures align with this central value, the mean, median, and mode coincide.