Final answer:
The median, mean, and mode in a normal distribution curve are all equal, as they all fall at the center of the symmetric bell curve. These measures are crucial in statistics for identifying the central point around which data is distributed.
Step-by-step explanation:
In a normal distribution curve, which is also known as a bell curve, the median, mean, and mode are all located at the center of the distribution. This means that for any normal distribution, the correct answer is A) Median = Mode = Mean. The curve is symmetric around a central point, indicating that the mean (average) and the median (middle value) are the same, and since the normal distribution has a single peak, the mode (most frequent value) coincides with the mean and median.
When analyzing symmetrical distributions, it is important to note that the mean is the arithmetic average of all data points, the median is the middle value when the dataset is ordered, and the mode is the most frequently occurring value. Because a normal distribution is symmetric, these three measures of central tendency are all located at the highest point on the curve. Changes in the standard deviation affect the width, but not the central location, of the curve, while changes in the mean shift the curve along the horizontal axis without affecting its shape.