Difference between revisions of "Manuals/calci/NORMAL"
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| − | <div | + | <div style="font-size:30px">'''NORMALDISTRIBUTED(x,m,sd)'''</div><br/> |
| + | *<math>x</math> is the value for which distribution is evaluated. | ||
| + | *<math>m </math> is the mean. | ||
| + | *<math>sd</math> is the standard deviation. | ||
| − | + | ==Description== | |
| + | *This function gives the value of the normal probability distribution. | ||
| + | *It is the continuous probability distribution. | ||
| + | *The normal distributions are a very important class of statistical distributions. | ||
| + | *All normal distributions are symmetric and have bell-shaped density curves with a single peak. | ||
| + | *The term bell curve is used to describe the mathematical concept called normal distribution. | ||
| + | *It is also called as Gaussian distribution. | ||
| + | *The Normal Distribution has: mean = median = mode | ||
| + | *i.e., This distribution is symmetry about the center. | ||
| + | *Half of values less than the mean and half of values greater than the mean. | ||
| + | *In a normal distribution the probability values are satisfying the following conditions: | ||
| + | 1. The total area under the curve is equal to 1 (100%) | ||
| + | 2. About 68% of the area under the curve falls within 1 standard deviation. | ||
| + | 3. About 95% of the area under the curve falls within 2 standard deviations. | ||
| + | 4. About 99.7% of the area under the curve falls within 3 standard deviations. | ||
| + | *In a normal distribution the mean =0 and standard deviation =1,then the distribution is called the standard normal distribution or the unit normal distribution, and a random variable with that distribution is a standard normal deviate. | ||
| + | *It is the only absolutely continuous distribution. | ||
| + | *A normal distribution is calculated by : | ||
| + | <math>f(x,\mu,\sigma)=\frac {1}{\sigma\sqrt{2\pi}} e^{\frac{-(x-\mu)^2}{2\sigma^2}}</math> | ||
| + | where <math>\mu</math> is the mean and <math>\sigma</math> is the standard deviaton of the distribution. | ||
| − | + | ==Examples== | |
| + | #=NORMALDISTRIBUTED(250,255,2.5) = 748.545737759758,417.93831835416444,-92.67846228553037,etc | ||
| + | #=NORMALDISTRIBUTED(30,36,20.9) = 7.937852412035841,10.385286729354199,83.54572095198611 etc. | ||
| − | + | ==Related Videos== | |
| − | + | {{#ev:youtube|1iDyrcpbXt8|280|center|NORMAL}} | |
| − | + | ==See Also== | |
| + | *[[Manuals/calci/NORMDIST | NORMDIST ]] | ||
| + | *[[Manuals/calci/NORMSDIST | NORMSDIST ]] | ||
| + | *[[Manuals/calci/NORMINV | NORMINV ]] | ||
| − | + | ==References== | |
| − | + | *[http://stattrek.com/probability-distributions/normal.aspx Normal Distribution] | |
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Latest revision as of 14:09, 30 June 2015
NORMALDISTRIBUTED(x,m,sd)
- is the value for which distribution is evaluated.
- is the mean.
- is the standard deviation.
is the value for which distribution is evaluated.
is the mean.
is the standard deviation.Description
- This function gives the value of the normal probability distribution.
- It is the continuous probability distribution.
- The normal distributions are a very important class of statistical distributions.
- All normal distributions are symmetric and have bell-shaped density curves with a single peak.
- The term bell curve is used to describe the mathematical concept called normal distribution.
- It is also called as Gaussian distribution.
- The Normal Distribution has: mean = median = mode
- i.e., This distribution is symmetry about the center.
- Half of values less than the mean and half of values greater than the mean.
- In a normal distribution the probability values are satisfying the following conditions:
1. The total area under the curve is equal to 1 (100%) 2. About 68% of the area under the curve falls within 1 standard deviation. 3. About 95% of the area under the curve falls within 2 standard deviations. 4. About 99.7% of the area under the curve falls within 3 standard deviations.
- In a normal distribution the mean =0 and standard deviation =1,then the distribution is called the standard normal distribution or the unit normal distribution, and a random variable with that distribution is a standard normal deviate.
- It is the only absolutely continuous distribution.
- A normal distribution is calculated by :
where is the mean and is the standard deviaton of the distribution.
where 
is the mean and 
is the standard deviaton of the distribution.
Examples
- =NORMALDISTRIBUTED(250,255,2.5) = 748.545737759758,417.93831835416444,-92.67846228553037,etc
- =NORMALDISTRIBUTED(30,36,20.9) = 7.937852412035841,10.385286729354199,83.54572095198611 etc.