The normal distributions are closely associated with many things such as: Marks scored on the test Heights of different persons Size of objects produced by the machine Blood pressure and so on. A bell-shaped curve, also known as a normal distribution or Gaussian distribution, is a symmetrical probability distribution in statistics. It represents a graph where the data clusters around the mean, with the highest frequency in the center, and decreases gradually towards the tails. Properties of normal distribution A normal distribution is the continuous probability distribution with a probability density function that gives you a symmetrical bell curve. Simply put, it is a plot of the probability function of a variable that has maximum data concentrated around one point and a few points taper off symmetrically towards two opposite ends. The normal distribution is an important probability distribution used in statistics. Many real world examples of data are normally distributed. Normal Distribution The normal distribution is described by the mean ( μ) and the standard deviation ( σ ). The normal distribution is often referred to as a 'bell curve' because of it's shape: Normal distributions can differ in their means and in their standard deviations. Figure 4.5.1 4.5. 1 shows three normal distributions. The green (left-most) distribution has a mean of -3 and a standard deviation of 0.5, the distribution in red (the middle distribution) has a mean of 0 and a standard deviation of 1, and the distribution in black A normal distribution, sometimes called the bell curve (or De Moivre distribution [1]), is a distribution that occurs naturally in many situations. For example, the bell curve is seen in tests like the SAT and GRE. Normal distributions are symmetric around their mean. The mean, median, and mode of a normal distribution are equal. The area under the normal curve is equal to 1.0 1.0. Normal distributions are denser in the center and less dense in the tails. Normal distributions are defined by two parameters, the mean (μ μ) and the standard deviation (σ σ ). 2jzZvDL.

what is normal distribution in statistics