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| − | <div style="font-size:30px">'''STANDARDIZE(x,m,sd)'''</div><br/> | + | <div style="font-size:30px">'''STANDARDIZE (X,Mean,StandardDeviation)'''</div><br/> |
| − | *<math>x </math> is the value. | + | *<math>X </math> is the value. |
| − | *<math> m </math> is the mean. | + | *<math>Mean</math> is the mean. |
| − | *<math> sd </math> is the standard deviation. | + | *<math>StandardDeviation </math> is the standard deviation. |
| | + | **STANDARDIZE(),returns a normalized value. |
| | | | |
| | ==Description== | | ==Description== |
| | *This function gives the normalized value of any distribution. | | *This function gives the normalized value of any distribution. |
| | *Standardize is the normalized value for a distribution characterized by a given mean and standard deviation. | | *Standardize is the normalized value for a distribution characterized by a given mean and standard deviation. |
| − | *In <math> STANDARDIZE(x,m,sd)</math>, <math>x </math> is the value to be normalized , <math> m </math> is the arithmetic mean of the distribution, and <math> sd </math> is the standard deviation of the distribution. | + | *In <math> STANDARDIZE (X,Mean,StandardDeviation)</math>, <math>X</math> is the value to be normalized , <math> Mean </math> is the arithmetic mean of the distribution, and <math> StandardDeviation </math> is the standard deviation of the distribution. |
| | *The equation for the normalized value is: | | *The equation for the normalized value is: |
| | <math> Z= \frac{x-\mu}{\sigma}</math>, where <math> \mu </math> is the arithmetic mean and <math>\sigma </math> is the standard deviation. | | <math> Z= \frac{x-\mu}{\sigma}</math>, where <math> \mu </math> is the arithmetic mean and <math>\sigma </math> is the standard deviation. |
| | *This function will give the result as error when | | *This function will give the result as error when |
| | 1. Any one of the argument is non-numeric. | | 1. Any one of the argument is non-numeric. |
| − | 2. sd<=0 | + | 2. StandardDeviation<=0 |
| | | | |
| | ==Examples== | | ==Examples== |
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| | #=STANDARDIZE(2,0,5.3) = 0.377358490566 | | #=STANDARDIZE(2,0,5.3) = 0.377358490566 |
| | #=STANDARDIZE(-2,1,6.17) = -0.48622366288 | | #=STANDARDIZE(-2,1,6.17) = -0.48622366288 |
| | + | |
| | + | ==Related Videos== |
| | + | |
| | + | {{#ev:youtube|hR6_JKIoI2c|280|center|STANDARDIZE}} |
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| | ==See Also== | | ==See Also== |
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| | ==References== | | ==References== |
| | + | *[http://en.wikipedia.org/wiki/Standard_score Standrd Score] |
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| | + | |
| | + | *[[Z_API_Functions | List of Main Z Functions]] |
| | + | |
| | + | *[[ Z3 | Z3 home ]] |