Reply To: Normal distribution
Vanshika Gupta
*About*-
The normal, a continuous distribution, is the most important of all the distributions in the statistical and the real world. It is widely used and even more widely abused. Its graph is bell-shaped showing its symmetric nature, which means equal values on both sides of the mean and also that data near the mean are more frequent in occurrence than data far from the mean. . Bell curve can be seen in all disciplines including business, economics, the sciences, and, of course, mathematics. Most IQ scores are normally distributed and even it can be used to determine your grades.
*Parameters*
The normal distribution has two parameters (two numerical descriptive measures), the mean (μ) and the standard deviation (σ). If X is a quantity to be measured that
has a normal distribution with mean (μ) and standard deviation (σ), we designate this
by writing the cumulative distribution function is P(X < x). It is calculated either by a calculator or a computer, or it is looked up in a table.
<b>Facts</b>
The mean is the same as the median, because the graph is symmetric about μ. As the notation indicates, the normal distribution depends only on the mean and the standard deviation. Since the area under the curve must equal one, a change in the standard deviation, σ, causes a change in the shape of the curve; the curve becomes fatter or skinnier depending on σ. A change in μ causes the graph to shift to the left or right.
Normal distribution has a great significance in the field of statistics and is used to define the distribution of random variables whose distribution is not known.