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'''Topic and Concept:''' Measurement, [:Measurement#ErrorAccuracy: 1A20. Error and Accuracy] |
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| '''Description:''' | '''Abstract:''' |
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| '''Setup:''' | '''''Important Setup Notes:''''' * N/A |
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| 1.Hold demonstrator upside down so that all of the balls fall into the reservoir (tap the board if needed). | '''Setup and Procedure:''' 1. Hold demonstrator upside down so that all of the balls fall into the reservoir (tap the board if needed). 1. Turn the board back over so that it is right side up with the bottom flat on the table. |
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N/A |
* N/A |
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| '''Demonstration:''' | '''Discussion:''' The normal distribution is considered the most prominent probability distribution in statistics. There are several reasons for this:[1] First, the normal distribution arises from the central limit theorem, which states that under mild conditions, the mean of a large number of random variables drawn from the same distribution is distributed approximately normally, irrespective of the form of the original distribution. This gives it exceptionally wide application in, for example, sampling. Secondly, the normal distribution is very tractable analytically, that is, a large number of results involving this distribution can be derived in explicit form (Wikipedia). |
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| 1.Turn the board over so that it is upside up with the bottom flat on the table. | In the physical sciences, random variables very often follow a normal distribution which makes error propagation and estimation much more feasible. |
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| '''Videos:''' * [https://www.youtube.com/user/LectureDemostrations/videos?view=1 Lecture Demonstration's Youtube Channel] |
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| http://en.wikipedia.org/wiki/Normal_distribution | * [http://en.wikipedia.org/wiki/Normal_distribution Normal Distribution - Wikipedia] |
[:PiraScheme#Mechanics: Table of Mechanics Demonstration] |
[:MEEquipmentList: List of Mechanics Equipment & Supplies] |
[:Demonstrations:Lecture Demonstrations] |
Hexstat Probability Demonstrator, 1A20.11
Topic and Concept:
Measurement, [:Measurement#ErrorAccuracy: 1A20. Error and Accuracy]
Location:
Cabinet: [:MechanicsCabinet:Mechanic (ME)]
Bay: [:MechanicsCabinetBayA2:(A2)]
Shelf: #1
attachment:HexStat-02-400.jpg
Abstract:
256 Small steel balls fall into 9 columns or bins to form a probability curve similar to a Gaussian distribution.
Equipment |
Location |
ID Number |
|
|
|
Hexstat Probability Demonstrator |
ME, Bay A2, Shelf #1 |
1A20.10 |
Hexstat Teacher's Manual |
ME, Bay A2, Shelf #1 |
1A.EQ.?? |
Important Setup Notes:
- N/A
Setup and Procedure:
- Hold demonstrator upside down so that all of the balls fall into the reservoir (tap the board if needed).
- Turn the board back over so that it is right side up with the bottom flat on the table.
Cautions, Warnings, or Safety Concerns:
- N/A
Discussion:
- The normal distribution is considered the most prominent probability distribution in statistics. There are several reasons for this:[1] First, the normal distribution arises from the central limit theorem, which states that under mild conditions, the mean of a large number of random variables drawn from the same distribution is distributed approximately normally, irrespective of the form of the original distribution. This gives it exceptionally wide application in, for example, sampling. Secondly, the normal distribution is very tractable analytically, that is, a large number of results involving this distribution can be derived in explicit form (Wikipedia).
- In the physical sciences, random variables very often follow a normal distribution which makes error propagation and estimation much more feasible.
attachment:HexStatIns-250.jpg |
attachment:HexStat-3-250.jpg |
attachment:HexStat-4-250.jpg |
Videos:
[https://www.youtube.com/user/LectureDemostrations/videos?view=1 Lecture Demonstration's Youtube Channel]
References:
[http://en.wikipedia.org/wiki/Normal_distribution Normal Distribution - Wikipedia]
[:Instructional:Home]