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Normal Distribution

The normal distribution is the most important and widely used distribution in statistics. It represents real-valued random variables whose distributions are unknown but follow a symmetrical bell curve pattern, centered around the mean. The normal distribution is specified by its mean and standard deviation. For example, a company that produces an average of 712,135 quintals of sugar with a standard deviation of 186 quintals could calculate that their actual production of 710,596.3 quintals lies 378,212.34 quintals from the mean according to the normal distribution formula.

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22 views2 pages

Normal Distribution

The normal distribution is the most important and widely used distribution in statistics. It represents real-valued random variables whose distributions are unknown but follow a symmetrical bell curve pattern, centered around the mean. The normal distribution is specified by its mean and standard deviation. For example, a company that produces an average of 712,135 quintals of sugar with a standard deviation of 186 quintals could calculate that their actual production of 710,596.3 quintals lies 378,212.34 quintals from the mean according to the normal distribution formula.

Uploaded by

safwan mansuri
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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NORMAL DISTRIBUTION:

The normal distribution is the most important and most widely used distribution in statistics. It is
sometimes called the "bell curve," although the tonal qualities of such a bell would be less than
pleasing. ... Normal distributions differing in mean and standard deviation.

Normal Distribution:

In statistics and probability theory, we come across continuous and discrete distributions very often.
Normal distribution is applied in the social science and natural science for representing real-valued
random variables with condition that their distributions should be unknown and is a very common
continuous probability distribution. We can distribute data in many ways like more to the right or more
to the left or even in jumbled up manner.

Data can also be distributed in a manner in which it is more to the centre and neither left or right. This is
called the Bell curve. Such curve represents Normal distribution. The normal distribution is a two
parameter distribution and is specified by the standard deviation and mean.

Where,

Z = (x−μ)/σ

The company are using this data and distribute the normal distribution.

Example:- the company is a used of sugar can71059630 quintal, andproduce of the 712135
quintal sugar, andthe S.D. is a 186.
Z = (x−μ)/σ

= (71059630- 712135)/ 186

= 70347495/186

=378212.34(Quintal)

http://www.statisticshowto.com/probability-and-statistics/normal-distributions/

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