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Index Exercise 3: Standard Deviation (Medium)
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 1      About Futurama
 1.1        Version information
 1.2        Getting Started
 1.2.1          Futurama Website
 1.2.1.1            Behavior of Futurama regarding TimeOuts, Login and Logoff
 1.2.1.2            Replacing an existing Futurama Session
 1.2.2          Futurama Webservice
 1.2.2.1            warmUpDocuments
 1.2.3          Futurama Export
 1.3        Overview - Futurama Modules
 1.3.1          Overview - Futurama Accounts
 1.3.2          Overview - Futurama Server
 1.3.3          Overview - Futurama Monitor
 1.3.4          Overview - Futurama Insight
 1.3.5          Overview - Futurama Console
 1.3.6          Overview - Futurama Webservice
 1.4        Loadbalancing Futurama applications
 1.4.1          Getting the most out of Futurama Web using the Load-Balancer
 1.4.2          Application Request Routing
 1.5        Text management and Multi-language
 2      Installation – Configuration – Testing
 2.1        Installation - Futurama Website Edition
 2.1.1          Installation Futurama HTML
 2.1.2          Installation Futurama Monitor
 2.1.3          Installation Futurama Insight
 2.1.4          Installation Futurama Accounts
 2.1.5          Installation SAML2LoadBalancer
 2.2        Installation - Futurama Export Edition
 2.2.1          Installation Futurama Console
 2.2.2          Installation Futurama Server
 2.3        Installation - Futurama Webservice Edition
 2.3.1          Installation Futurama Webservice
 2.4        Installation Futurama Editor
 2.5        Configuration
 2.5.1          Configuration - Cache
 2.5.2          Configuration - Calculation
 2.5.3          Configuration - Debug
 2.5.4          Configuration - File manager
 2.5.5          Configuration - Fileproviders
 2.5.6          Configuration - Format
 2.5.7          Configuration - History
 2.5.8          Configuration - Identity Provider
 2.5.9          Configuration - Log
 2.5.10           Configuration - Mail
 2.5.11           Configuration - Mapping
 2.5.12           Configuration - Monitor
 2.5.13           Configuration - PlugIns
 2.5.14           Configuration - Rendering
 2.5.15           Configuration - ScenarioRecording
 2.5.16           Configuration - Security
 2.5.17           Configuration - Server
 2.5.18           Configuration - Vision
 2.5.19           Configuration - WebAPI
 2.6        Logging
 2.7        Troubleshooting
 2.8        Security - hardening
 3      Updating and file compatibility
 3.1        Updating Futurama - Compatibility behavior
 3.2        Converting Futurama documents
 3.3        12819 - DataTable file updates
 3.4        12889 - DataTable file updates
 3.5        Conversion web.config to .NET Framework 4
 3.6        Deprecated conversion formulas
 4      Futurama Editor - How to
 4.1        At first glance
 4.2        Developing in the Futurama Editor
 4.2.1          Working with objects
 4.2.2          Evaluating objects
 4.2.3          Finding objects
 4.3        Transferring objects
 4.4        Testing objects
 4.5        Validating objects
 4.6        Troubleshooting objects
 4.7        Advanced/special functionality
 4.8        Checking the layout of objects
 5      Futurama - Formulas
 5.1        Futurama Formulas - Date and time
 5.1.1          Date
 5.1.2          Day
 5.1.3          Days360
 5.1.4          Days360Excel
 5.1.5          DaysInMonth
 5.1.6          DaysInPeriod
 5.1.7          Min
 5.1.8          Max
 5.1.9          Month
 5.1.10           Now
 5.1.11           WeekDay
 5.1.12           Year
 5.2        Futurama Formulas - Math
 5.2.1          Abs
 5.2.2          Add
 5.2.3          Divide
 5.2.4          Floor
 5.2.5          Ln
 5.2.6          Log
 5.2.7          Log10
 5.2.8          Mod
 5.2.9          Multiply
 5.2.10           Pi
 5.2.11           Power
 5.2.12           Rand
 5.2.13           Round
 5.2.14           RoundDown
 5.2.15           RoundUp
 5.2.16           SquareRoot
 5.2.17           Subtract
 5.3        Futurama Formulas - Statistical
 5.3.1          AverageDeviation
 5.3.2          Beta
 5.3.3          Binomial
 5.3.4          Covariance
 5.3.5          Factorial
 5.3.6          Gamma
 5.3.7          GeometricMean
 5.3.8          Lognormal
 5.3.9          Max
 5.3.10           Median
 5.3.11           Min
 5.3.12           Normal
 5.3.13           StandardDeviation
 5.3.14           Uniform
 5.3.15           Variance
 5.4        Futurama Formulas - Text
 5.4.1          CalculateBase64Hashcode
 5.4.2          CalculateXmlHashcode
 5.4.3          Concatenate
 5.4.4          ConcatenateBase64
 5.4.5          ContainsText
 5.4.6          Convert.CSV.2.XML
 5.4.7          ConvertFromBase64
 5.4.8          ConvertToBase64
 5.4.9          ConvertXml
 5.4.10           DecodeURL
 5.4.11           DecryptXml
 5.4.12           EncodeURL
 5.4.13           EncryptXml
 5.4.14           Find
 5.4.15           HashBase64EncodedFile
 5.4.16           HashBase64EncodedFileWithBase64
 5.4.17           HashText
 5.4.18           HashTextWithBase64
 5.4.19           Left
 5.4.20           Len
 5.4.21           Linefeed
 5.4.22           Lower
 5.4.23           Mid
 5.4.24           Proper
 5.4.25           ReadConfigKey
 5.4.26           ReadDirectoryNames
 5.4.27           ReadFile
 5.4.28           ReadFileAsBase64
 5.4.29           ReadFileNames
 5.4.30           ReadFileWithEncoding
 5.4.31           ReadXPathScalar
 5.4.32           ReadXPathVector
 5.4.33           Repeat
 5.4.34           Right
 5.4.35           Substitute
 5.4.36           Trim
 5.4.37           TrimLeft
 5.4.38           TrimRight
 5.4.39           Upper
 5.4.40           ValidatePattern
 5.4.41           XsdMessages
 5.5        Futurama Formulas - Logical
 5.5.1          And
 5.5.2          IsEmpty
 5.5.3          If
 5.5.4          IsEqual
 5.5.5          IsEven
 5.5.6          IsGreater
 5.5.7          IsGreaterEqual
 5.5.8          IsIBANChecksumValid
 5.5.9          IsLess
 5.5.10           IsLessEqual
 5.5.11           IsMemberOfGroup
 5.5.12           IsNotEqual
 5.5.13           IsOdd
 5.5.14           IsValidXml
 5.5.15           Not
 5.5.16           Or
 5.5.17           ValidateNPR
 5.6        Futurama Formulas - Table
 5.6.1          FindNextRow
 5.6.2          FindPreviousRow
 5.6.3          FindRow
 5.6.4          Sort
 5.6.5          VLookUp
 5.7        Futurama Formulas - Document
 5.7.1          CountErrors
 5.7.2          GetPathToDataFiles
 5.7.3          GetPortNumber
 5.7.4          GetRelativePathToDataFiles
 5.7.5          GetSessionID
 5.7.6          IsLicenceAvailable
 5.7.7          ReadError
 5.7.8          ReadIdentityProviderResult
 5.7.9          ReadRequestIP
 5.7.10           ReadRequestParameter
 5.7.11           ReadUserAgent
 5.7.12           ReadVersionNumber
 5.7.13           SessionTimeOut
 5.7.14           URL
 5.7.15           UserName
 5.8        Futurama Formulas - Conversion
 5.8.1          Convert.Excel.to.XML
 5.8.2          ConvertJSONtoXml
 5.8.3          ConvertTextToDate
 5.8.4          ConvertTextToNumber
 5.8.5          ConvertToBoolean
 5.8.6          ConvertToDouble
 5.8.7          ConvertToLong
 5.8.8          ConvertToString
 5.8.9          FormatDate
 5.8.10           FormatNumber
 5.8.11           Value
 5.9        Futurama Formulas - Matrix
 5.9.1          AddMatrices
 5.9.2          AddScalarToMatrix
 5.9.3          Cumulative
 5.9.4          CumulativeProductMatrix
 5.9.5          Distinct
 5.9.6          DivideMatrices
 5.9.7          DivideMatrixScalar
 5.9.8          DivideScalarMatrix
 5.9.9          Exponent
 5.9.10           First
 5.9.11           Floor
 5.9.12           If
 5.9.13           Index
 5.9.14           Inverse
 5.9.15           IsEqual
 5.9.16           IsGreater
 5.9.17           IsGreaterEqual
 5.9.18           IsNotEqual
 5.9.19           IsLess
 5.9.20           IsLessEqual
 5.9.21           Join
 5.9.22           Last
 5.9.23           Length
 5.9.24           MatrixProduct
 5.9.25           Max
 5.9.26           MaxScalarMatrix
 5.9.27           Mean
 5.9.28           Mid
 5.9.29           Min
 5.9.30           MinScalarMatrix
 5.9.31           MultiplyMatrices
 5.9.32           MultiplyMatrixVector
 5.9.33           MultiplyScalarMatrix
 5.9.34           Percentile
 5.9.35           PowerMatrix
 5.9.36           PowerMatrixScalar
 5.9.37           PowerScalarMatrix
 5.9.38           ReadMatrixFromXml
 5.9.39           Repeat
 5.9.40           Replace
 5.9.41           Reshape
 5.9.42           ReverseCumulativeProductMatrix
 5.9.43           ReverseMatrix
 5.9.44           Size
 5.9.45           Split
 5.9.46           SquareRootMatrix
 5.9.47           Step
 5.9.48           SubtractMatrices
 5.9.49           SubtractMatrixScalar
 5.9.50           SubtractScalarMatrix
 5.9.51           Sum
 5.9.52           Transpose
 5.9.53           UnitMatrix
 5.9.54           Vector
 5.10         Creating custom formulas in Futurama
 6      Futurama - Objects
 6.1        Action
 6.2        Aggregation
 6.3        Button
 6.4        ChangeValue
 6.5        CheckBox
 6.6        ClearCache
 6.7        DatabaseField
 6.8        DatabaseView
 6.9        DataTable
 6.10         DateBox
 6.11         DocConverter
 6.12         Document
 6.13         Download
 6.14         DropDownList
 6.15         EmailConverter
 6.16         ExcelConverter
 6.17         FileSaver
 6.18         FileUploader
 6.19         Fixed
 6.20         Formula
 6.21         GraphConverter
 6.22         HTMLInclude
 6.23         InterfacesNode
 6.24         LogMessage
 6.25         Navigator
 6.26         Node
 6.27         RadioButton
 6.28         RadioGroup
 6.29         Range
 6.30         Reference
 6.31         SubDocument
 6.32         TextBox
 6.33         UserTable
 6.34         UserVariable
 6.35         WebLabel
 6.36         WebListBox
 6.37         WebPage
 6.38         WebPanel
 6.39         WebReference
 6.39.1           WebReference - WCF Configuration
 6.40         WebService
 6.41         WebSlider
 6.42         WordConverter
 6.43         XmlBuilder
 6.44         XmlConverter
 6.45         XmlField
 6.46         XmlNode
 7      Futurama - Vision References
 7.1        Data
 7.1.1          ReadData
 7.1.2          WriteMessage
 7.1.3          GetPersonIdentifiers
 7.1.4          CreatePerson
 7.2        DataStore
 7.2.1          DeleteDataItem
 7.2.2          DeleteDataItemHierarchy
 7.2.3          DeleteDataItems
 7.2.4          GetDataItem
 7.2.5          GetDataItemHierarchy
 7.2.6          GetDataItems
 7.2.7          StoreData
 7.3        Accounts
 7.3.1          Activate Account
 7.3.2          Change Account
 7.3.3          Create Account
 7.3.4          GetQuestion
 7.3.5          GetQuestions
 7.3.6          Login
 7.3.7          ReadData
 7.3.8          ReinitializeAccount
 7.4        General
 7.4.1          TestConnection
 8      Futurama Vision
 8.1        Installation Futurama Vision
 8.1.1          Installation Futurama Vision Management Site
 8.1.2          Installation or Upgrade of the Futurama Vision Database
 8.2        Futurama Vision Management Site
 8.2.1          Futurama Vision Management Site - Admin
 8.2.2          Futurama Vision Management Site – Security
 8.2.3          Futurama Vision Management Site – Skinning
 8.2.4          Importing data into Futurama Vision
 8.2.4.1            Importing data by webservice
 8.2.4.2            Importing data from a Zip-file
 8.2.4.3            Importing data with Futurama Vision Batch
 8.2.4.4            Futurama Vision Webservice Security
 8.2.5          Further processing of data into Futurama Vision
 8.3        Futurama Vision File manager
 8.4        Activity overview
 8.5        Storing data in Vision from a Futurama application
 8.6        Futurama Vision – Data
 8.7        Futurama Accounts - Management Site
 8.7.1          Futurama Accounts - Table in Vision Database
 8.8        Futurama Server - Management Site
 8.8.1          Special Futurama Server Jobs
 8.9        Futurama Register - Management Site
 8.9.1          Configuration - Futurama Register
 8.10         Retrieving AppEvents from Futurama Vision
 8.11         Adding CustomPages to Vision
 9      Futurama Intermediate Control Output (FICO)
 9.1        FICO example - Change/Add HTML headers
 9.2        FICO example - Change Graph
 9.3        HTML5 Template
 10       Futurama Web API
 10.1         Postbacks of Futurama webcontrols
 10.2         Retrieving Resources using Web API
 10.3         WebAPI Session management
 11       Tutorials - Overview
 11.1         Tutorials - Examples and Downloads
 11.2         Beginners
 11.2.1           Creating formulas with Futurama
 11.2.1.1             Exercise 1: Pythagorean Theorem (Easy)
 11.2.1.2             Exercise 2: Newspaper stall (Medium)
 11.2.1.3             Exercise 3: Recursive functions (Difficult)
 11.2.1.4             Exercise 4: Leap Year (Difficult)
 11.2.1.5             Exercise 5: The Guessing Game I (Medium)
 11.2.2           Creating a Website Application
 11.2.2.1             Exercise 1: Creating a Website (Easy)
 11.2.3           Styling your website with CSS
 11.2.3.1             Exercise 1: Adding CSS (Easy)
 11.2.4           Adding interactivity to your website
 11.2.4.1             Exercise 1: Summation (Easy)
 11.2.4.2             Exercise 2: The Guessing Game II (Medium)
 11.2.4.3             Exercise 3: Nationality (Medium)
 11.2.4.4             Exercise 4: Nationality - RepeatTarget (Medium)
 11.2.4.5             Exercise 5: Reversed Guessing (Difficult)
 11.2.5           Working with Tables
 11.2.5.1             Exercise 1: Average (Easy)
 11.2.5.2             Exercise 2: Boundary values (Difficult)
 11.2.5.3             Exercise 3: Standard Deviation (Medium)
 11.2.6           Reading and processing XML-data in Futurama
 11.2.6.1             Exercise 1: Shares (Medium)
 11.2.7           Adding Graphs in Futurama
 11.2.7.1             Exercise 1: World Population (Easy)
 11.2.8           Working with Actions in Futurama
 11.2.8.1             Exercise 1: Changing Colors (Easy)
 11.2.8.2             Exercise 2: On and Off (Medium)
 11.2.8.3             Exercise 3: The ChangeValue object (Difficult)
 11.2.8.4             Exercise 4: The Guessing Game III (Medium)
 11.2.8.5             Exercise 5: CheckBox (Medium)
 11.2.9           Multiple Pages and Navigation
 11.2.10            Using XSLT to display data
 11.2.10.1              Exercise 1: Overview Summation (Easy)
 11.2.10.2              Exercise 2: Persons (Medium)
 11.2.10.3              Exercise 3: Leap Year Overview (Difficult)
 11.2.11            Webservices in Futurama
 11.2.11.1              Exercise 1: Example (Easy)
 11.2.12            Creating a Webservice Application
 11.2.12.1              Exercise 1: Add (Easy)
 11.2.12.2              Exercise 2: Webservice Nationality (Medium)
 11.2.13            Creating a Console Application
 11.2.13.1              Exercise 1: Adding extra fields (Easy)
 11.2.14            Generating Documents
 11.2.14.1              Exercise 1: Tax Rate (Medium)
 11.2.14.2              Exercise 2: Tax Rates Table (Difficult)
 11.3         Advanced
 11.3.1           Responsive Design
 11.3.1.1             Exercise 1: Orientation
 11.3.1.2             Exercise 2: Target different screen sizes
 11.4         Older Tutorials (Futurama Version 3.2)
 11.4.1           Futurama Editor Tutorial 1: The first sum
 11.4.2           Futurama Editor Tutorial 2: An annuity
 11.4.3           Futurama Editor Tutorial 3: Working with tables
 11.4.4           Futurama Editor Tutorial 4: Modelling a DB pension plan
 11.4.5           Futurama Editor Tutorial 5: Working with XML
 11.4.6           Futurama Web Tutorial 1: Hello world
 11.4.7           Futurama Web Tutorial 2: Buttons and Actions
 11.4.8           Futurama Web Tutorial 3: Textboxes
 11.4.9           Futurama Web Tutorial 4: DropdownLists
 12       Miscellaneous
 12.1         Responsive website
 12.2         Reducing memory usage for XmlNodes and XmlFields
 12.3         Explaining caching for websites and webservices
 12.4         Certificates - basic information
 12.5         Performance XML operations
 12.6         Creating XSD files and using them in combination with Futurama
 13       Templates
 14       Safe2Save WebAPI Sample
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Exercise 3: Standard Deviation (Medium)

Developer
Tutorial

 

Module: Editor

Version: 4.2.1 +

User: Developer

Difficulty: Medium

Introduction

In this exercise we will practise working with Table formulas.

 

Prerequisites

- The Futurama Editor must be installed.
- Completing the tutorial Working with Tables first, is recommended. 
- Completing the exercise Average and Boundary Values first, is recommended.

 

Description

In exercise 1 of this tutorial, we have created a DataTable with the age and income of 20 random people. This DataTable is necessary for this exercise. We will create a function that calculates the standard deviation for the income and the age. The standard deviation is a statistic formula that shows how much variation exists from the average of an array of values. 

The standard deviation is defined as follows:

symbolformula.png

where:

 symbolsd.png   = The symbol that represents the standard deviation

 image   = The values in the array of elements (age or income)

 symbolaverage.png   = The average of these values

 image   = The summation symbol

  N   = The amount of elements in the array

Assignment

Create a function in Futurama that calculates the standard deviation for the age and income of the table displayed in exercise 1. Therefore you should take the following steps (both for the Income and Age calculations):

  1. Copy the DataTable from exercise 1
  2. Use the formula 'SubTable' to create a new table 'Income' or 'Age' with only the corresponding values.
  3. Create a formula that calculates the average of the values (See exercise 1)
  4. Create a formula that calculates the squared deviation of the values to the average (first calculate the difference between the values and the average and then take the square of it). The result should be an array.
  5. Create a formula that calculates the sum of the array-values, and divide this sum by the amount of rows.
  6. Create a formulat that takes the square root of this result. This formula calculates the standard deviation. 

Tips

  • Use the formula 'Subtable' to create a table with only the values (age or income) needed. It's not possible to calculate the deviations without creating this subselection of the values first. (Maybe future Futurama versions will enable this)
  • Table-functions like Sum and RowCounts are listed under the formula type 'Table'. You can select this formula type when you click the 'Select a formula'-button.
  • It's possible to select tables as entries for 'normal' functions as well. Therefore you can create the deviation-formula by selecting the normal subtract-function.
  • To create the root-function, see the exercise 'Pythagorean Theorem'

Solutions

Answers

  • Standard Deviation Age = 14.63
  • Standard Deviation Income = 38,230.59

Download

image

You can download our solution for this assignment by clicking the image at the right. (Futurama 4.2.1.2)
Please note that you can very well have a different solution that is just as good as ours.

Variations

If you want some more practise on this subject, you could try the extra exercises below.
We won't provide a solution for these variations, just consider them as a way to further experiment with Futurama.
  • (Easy:) Add an argument to the calculation, which defines which standard deviation should be calculated: age or income.
  • (Medium:) Add an argument to the calculation, that defines the number of rows that should be taken into account for the standard deviation. Adjust your calculation so that it only takes the number of rows defined by the argument.

Updated: 2013-01-03

 


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