A normal distribution is a continuous, symmetric probability distribution that forms a bell-shaped curve. Data values concentrate around the mean, creating a peak at the center, and gradually decrease as they move farther from the mean, tapering off equally on both sides. This symmetry ensures that the mean, median, and mode are all at the distribution's center. The shape of a normal distribution is characterized by two parameters: the mean, which sets its central location, and the standard deviation, which controls the spread of data around the mean.. give extra ddetails