What two values coincide at the highest point on the normal curve?

The highest point on the normal curve, known as the peak or the mode of the distribution, occurs where the mean and the median also coincide. In a normal distribution, the shape is perfectly symmetrical around its center, which is determined by these three measures of central tendency: mean, median, and mode.

In this case, the mean, median, and mode of a normal distribution are all located at the same point on the horizontal axis. This property is a defining feature of normal distributions and contributes to their symmetrical bell shape. Therefore, at the peak of the curve, these two values—the mean and the median—are identical, reinforcing the concept of symmetry in a normal distribution.

Understanding this concept is essential in statistics since it illustrates how different measures of central tendency can behave in relation to each other within the context of a normally distributed dataset.