Difference between revisions of "Manuals/calci/NORMAL"
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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> '''RANDOMNUMBERGENERATION'''(Number, RandomNumber, Distribution, NewTableFlag, Mean, StandardDeviation) where, ...") |
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| + | <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}, where <math>\mu</math> is the mean and <math>\sigma<\math> is the standard deviaton of the distribution. | ||
| + | |||
| + | |||
| + | where , and | ||
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Lets see an example in (Column3Row1) | Lets see an example in (Column3Row1) | ||
| − | + | UNIQeebbe8a3183fa626-nowiki-00000004-QINU | |
RANDOMNUMBERGENERATION returns the result in new sheet(5Space). | RANDOMNUMBERGENERATION returns the result in new sheet(5Space). | ||
| − | + | UNIQeebbe8a3183fa626-nowiki-00000005-QINU | |
RANDOMNUMBERGENERATION returns the #ERROR(Number < 0). | RANDOMNUMBERGENERATION returns the #ERROR(Number < 0). | ||
Revision as of 00:50, 24 March 2014
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
Failed to parse (syntax error): {\displaystyle f(x,\mu,\sigma)=\frac {1}{\sigma\sqrt(2\pi) e^{\frac{-(x-\mu)^2}{2\sigma^2}, where <math>\mu} is the mean and <math>\sigma<\math> is the standard deviaton of the distribution.
where , and
RANDOMNUMBERGENERATION(Number, RandomNumber, Distribution, NewTableFlag, Mean, StandardDeviation)
where,
Number - represents the number of variables.
RandomNumber - represents the number of random number.
Distribution - represents the distribution method(i.e normal) to create random values.
NewTableFlag - is the TRUE or FALSE.If set as TRUE,the result in new sheet. If NewTableFlag is omitted, it assumed to be FALSE.
Mean - represents the Mean.
StandardDeviation - represents the standard deviation.
Normal Distribution characterized by a mean and a standard deviation.
Lets see an example in (Column3Row1)
?UNIQeebbe8a3183fa626-nowiki-00000004-QINU?
RANDOMNUMBERGENERATION returns the result in new sheet(5Space).
?UNIQeebbe8a3183fa626-nowiki-00000005-QINU?
RANDOMNUMBERGENERATION returns the #ERROR(Number < 0).
RANDOM NUMBER GENERATION : NORMAL
Syntax
Remarks
Examples
Description
If Number < 0 or RandomNumber < 0, RANDOMNUMBERGENERATION returns the #ERROR.
| Column1 | Column2 | Column3 | Column4 | |
| Row1 | 5Space | |||
| Row2 | ||||
| Row3 | ||||
| Row4 | ||||
| Row5 | ||||
| Row6 |
| -0.6469271541994427 | -1.9074080903736057 | -0.617997136104105 |
| -0.7646726307858795 | -0.12686814329075044 | -1.0016839542241755 |
| 1.5847698409152808 | 0.6334613031585946 | -0.4798269568260549 |
| -1.6687086155351085 | 1.102906962994111 | 1.4347768240383833 |