Sigma - Revision history

Mcone: /* How does SIGMA Apply to a Standard Bell Curve? */

2011-10-04T00:45:45Z

‎How does SIGMA Apply to a Standard Bell Curve?

2011-10-04T00:45:37Z

‎How does SIGMA Apply to a Standard Bell Curve?

2011-10-04T00:45:01Z

‎SIGMA and ERRORS

2011-10-04T00:44:30Z

‎SIGMA and ERRORS

2011-10-04T00:44:07Z

‎SIGMA and ERRORS

2011-10-04T00:43:40Z

‎SIGMA and ERRORS

2011-10-04T00:42:30Z

‎"2 SIGMA" = 95% Chance (150px)

2011-10-04T00:42:11Z

‎"1 SIGMA" = 68% Chance (150px)

2011-10-04T00:41:47Z

‎"3 SIGMA" = 99.6% Chance (150px)

2011-10-04T00:41:24Z

‎"2 SIGMA" = 95% Chance (150px)

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 Most have heard of the "bell curve" in mathematics.  This is the shape that describes the probability that a given percentage of measurements will fall within a certain region under a standard bell curve.  This shape is found in nature - so its one that mathematicians use often to predict the chance that something will occur by natural forces.
-(This shape of the standard bell curve is called "Normal Distribution" or "Gausian Distribution.")
+(This shape of the standard bell curve is formed by what is called "Normal Distribution" or "Gausian Distribution" of the data.)
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 Most have heard of the "bell curve" in mathematics.  This is the shape that describes the probability that a given percentage of measurements will fall within a certain region under a standard bell curve.  This shape is found in nature - so its one that mathematicians use often to predict the chance that something will occur by natural forces.
-This shape of the standard bell curve is called "Normal Distribution" or "Gausian Distribution."
+(This shape of the standard bell curve is called "Normal Distribution" or "Gausian Distribution.")
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-Most have heard of the "bell curve" in mathematics.  This is the shape that describes the probability that a given percentage of measurements will fall within a certain region under a standard bell curve.  This shape is found in nature - so its one that mathematicians use often to predict the chance that something will occur.
+Most have heard of the "bell curve" in mathematics.  This is the shape that describes the probability that a given percentage of measurements will fall within a certain region under a standard bell curve.  This shape is found in nature - so its one that mathematicians use often to predict the chance that something will occur by natural forces.
 This shape of the standard bell curve is called "Normal Distribution" or "Gausian Distribution."

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-Most have heard of the "bell curve" in mathematics.  This is the shape that describes the probability that a given percentage of measurements will fall within a certain region under a standard bell curve.  This shape is found in nature - so its one that mathematicians use often to predict the chance that something will occur in nature.
+Most have heard of the "bell curve" in mathematics.  This is the shape that describes the probability that a given percentage of measurements will fall within a certain region under a standard bell curve.  This shape is found in nature - so its one that mathematicians use often to predict the chance that something will occur.
 This shape of the standard bell curve is called "Normal Distribution" or "Gausian Distribution."
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 [[image:vtube-laser_1_58_cylinderfit_highlight.jpg|500px]]
 ==Other Pages==
 Back to [[VTube-LASER]]<br>
 Back to [[VTube-STEP]]

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 === "2 SIGMA" = 95% Chance ([[image:fromto2sigma.jpg|150px]])===
-For predicting the greatest error in a measurement or calculation, if someone says that an an error value is repeatable within 2 sigma, then that person is referring to the greatest possible error in between the lines marked with - 2 sigma to + 2 sigma in the bell curve.  Add the percentages of the four regions under the bell between the - and + sigma lines to get about 95%.  There is a 95% chance that the error will not exceed the value stated.
+For predicting the greatest error in a measurement or calculation, if someone says that an an error value is repeatable within 2 sigma, then that person is referring to the greatest possible error in between the lines marked with -2 sigma to +2 sigma in the bell curve.  Add the percentages of the four regions under the bell between the - and + sigma lines to get about 95%.  There is a 95% chance that the error will not exceed the value stated.
 === "3 SIGMA" = 99.6% Chance ([[image:fromto3sigma.jpg|150px]])===

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 === "1 SIGMA" = 68% Chance ([[image:fromto1sigma.jpg|150px]]) ===
-For predicting the greatest error in a measurement or calculation, if someone says that an an error value is repeatable within 1 sigma, then that person is referring to the greatest possible error in between the lines marked with - 1 sigma to + 1 sigma in the bell curve.  Add the percentages of the two regions under the bell to get about 68%.  There is a 68% chance that the error will not exceed the value stated.
+For predicting the greatest error in a measurement or calculation, if someone says that an an error value is repeatable within 1 sigma, then that person is referring to the greatest possible error in between the lines marked with -1 sigma to +1 sigma in the bell curve.  Add the percentages of the two regions under the bell to get about 68%.  There is a 68% chance that the error will not exceed the value stated.
 === "2 SIGMA" = 95% Chance ([[image:fromto2sigma.jpg|150px]])===

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 === "3 SIGMA" = 99.6% Chance ([[image:fromto3sigma.jpg|150px]])===
-If someone says that an error is 3 sigma, then that person is referring to the greatest possible error in between the lines marked with -3 sigma to +3 sigma in the bell curve (see the curve above).  Add the percentages of the six regions under the bell to get over 99%.  There is a 99.6% chance that the error will not exceed the value stated.
+For predicting the greatest error in a measurement or calculation, if someone says that an an error value is repeatable within 3 sigma, then that person is referring to the greatest possible error in between the lines marked with -3 sigma to +3 sigma in the bell curve.  Add the percentages of the six regions under the bell to get over 99%.  There is a 99.6% chance that the error will not exceed the value stated.
 === How "2 SIGMA" applies to VTube-LASER SEF2 Values ===