In a normal curve, how are the mean, median, and mode related?

In a normal distribution, the mean, median, and mode are all equal. This property arises from the symmetry of the normal curve, where the highest point at the center represents the mean. Because the distribution is perfectly symmetrical, the median, which is the middle value when data points are arranged in order, also falls at this center point. Similarly, the mode, which is the value that appears most frequently, aligns at the center as well. This relationship illustrates a fundamental characteristic of normal distributions, reinforcing the concept that in such distributions, these measures of central tendency coincide.

Understanding this relationship is crucial in fields such as statistics and biomedical engineering, as it helps in assessing data distribution and making inferences based on statistical properties.