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What is normal distribution write its properties and importance?
It is the most important probability distribution in statistics because it fits many natural phenomena. For example, heights, blood pressure, measurement error, and IQ scores follow the normal distribution. It is also known as the Gaussian distribution and the bell curve.
What are the properties of standard normal curve?
The total area under the standard normal curve is 1 (this property is shared by all density curves). The standard normal curve extends indefinitely in both directions, approaching, but never touching, the horizontal axis as it does so. The standard normal curve is is bell shaped, is centered at z=0.
What is the concept of normal distribution?
Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve.
What is the characteristic of a normal distribution?
One of the most noticeable characteristics of a normal distribution is its shape and perfect symmetry. If you fold a picture of a normal distribution exactly in the middle, you’ll come up with two equal halves, each a mirror image of the other. Jul 25 2019
What are the characteristics of a normal distribution curve?
The properties of any normal distribution (bell curve) are as follows: The shape is symmetric. The distribution has a mound in the middle, with tails going down to the left and right. The mean is directly in the middle of the distribution. The mean and the median are the same value because of the symmetry.
What is interesting about normal distribution?
The normal distribution has several interesting characteristics: The shape of the distribution is determined by the average, μ (or X), and the standard deviation, σ. The highest point on the curve is the average. The distribution is symmetrical about the average.
How to explain normal distribution?
Shape of Normal Distribution. Mean Mean is an essential concept in mathematics and statistics.