Descriptive STATISTICS: Standard Deviation

   Introduction:  The deviations of scores about the mean of a distribution is the basis for most of the statistical tests we will learn. Since we are measuring how much a set of scores is dispersed about the mean we are measuring variability. We can calculate the deviations about the mean and express it as variance or standard deviation. Program by navyfalcon [navyfalcon1 (at) gmail.com]
 
 Formula mean  Std Dev  VAR    
      Mean      Standard Deviation      Variance  

NOTE: Using the TI-83 Calculator Emulator (which performs exactly like the TI-83 Calculator) and can be downloaded from TI-83 Calculator Emulator and following the calculator instructions (Using Your TI-83/84 calculator in Math) you can solve problems in arithmetic, algebra, geometry, trigonometry, statistics, and calculus.
Description:
  STDEVFRM (Standard Deviation Formula) takes as input either a list (list) of values or summary statistics (data) values, (n = sample size, Σx = sum of items, Σx = sum items sq) and calculates the values (x = mean, S = variance, and S = Standard Deviation [Std Dev]).
  Note: This program is in TI-BASIC and can be entered into the calculator by the calculator keyboard. Do not enter the outline, line numbers or comments, they are for reference only. The example programs below are for testing the program. If you get the values listed, the program was entered correctly. If not, check the listing and correct it. The program has been checked and tested.
  Note: -> is the [STO->] on the calculator keyboard.
  Note: for instructions line 2 through 7, do not use a line break [ENTER] or space between (") and (,) but allow the code to wrap to the next line. Do not use more then 7 lines without a pause commant to display the text.
    Program Memory = 386
 
        Outline: Standard Deviation w/Formula
Instructions: Click on the instruction (in blue) to go to that portion of the program
  Line 1. Clear
  Line 2 - 7. Instructions
  Line 12 - 16. Lbl D - input data
  Line 18 - 21. Lbl L - input list
  Line 23 - 26. calculator built-in formula [dim( and sum( ]. L1 squares X.
  Line 27. formula for mean
  Line 28. formula for variance
  Line 29. formula for standard deviation
  Line 31 - 43. Lbl X - display
  Line 37. fix 4
  Line 45. clear fix 4 (line 37)
    Examples
    Screenshots
    Reference
    Reference Links
 

prgm "STANDARD DEVIATION w/FORMULA"

Line  Command or Statement  Comments
   1.  ClrHome  Clear Screen
   2.  Disp "SELECT LIST OR"  Instructions
   3.  ,"DATA TO BEGIN -"        |
   4.  ,"USE COMMAS BTWN"        |
   5.  ,"NUMBERS IN LIST"        |
   6.  ,"ENTER n, Σx, Σx"        |
   7.  ,"FOR DATA"  End Instructions
   8.  Pause  
   9.  ClrHome  
 10.  Float  
 11.  Menu("STD DEV","LIST",L,"DATA",D  
 12.  Lbl D  Input Data
 13.  Disp "DATA Input"  
 14.  Input "n =",N  n = sample size
 15.  Input "Σx =",B  Σx = sumX
 16.  Input "Σx =",Y  Σx = sumXsquared
 17.  Goto X  
 18.  Lbl L  Input List
 19.  Disp "LIST Input"  
 20.  Input "L1=",Str1  
 21.  expr("{"+Str1->L1  
 22.  ClrHome  clear screen - calculations
 23.  dim(L1->N  n       dim( calculator formula
 24.  sum(L1->B  Σx;    sum( calculator formula
 25.  sum(L1->Y  Σx    sum( calculator formula
 26.  Lbl X  formula calculations & display
 27.  B/N ->C  calculates mean    x
 28.  ((Y - ((B) /N))/(N - 1)) ->V  calculates variance
 29.  √(V) -> S  standard deviation
 30.  ClrHome  Clear screen - display
 31.  Disp "n =  
 32.  Output(1,4,N  display n
 33.  Disp "Σx =  
 34.  Output(2,5,B  display Σx
 35.  Disp "Σx =  
 36.  Output(3,6,Y  display Σx
 37.  Fix 4  set decimal to 4 places
 38.  Disp "x =  
 39.  Output(4,4,C  display mean (x)
 40.  Disp "S =  
 41.  Output(5,5,V  display variance (S)
 42.  Disp "S =  
 43.  Output(6,4,S  display standard deviation (S)
 44.  Pause  
 45.  Float  clear fix 4 (line 37)
 46.  ClrHome  
 
  Example 1:
List: 25, 24, 23, 22, 20, 18, 17, 16, 14, 10, 8
Data: n = 11,  Σx = 197,  Σx = 3843 
Answers: n = 11,  Σx = 197,  Σx = 3843,  x = 17.9091,  S = 31.4909,  S = 5.6117
  Example 2:
List: 13, 12, 11, 11, 10, 9, 9, 9, 6, 4
Data: n = 10,  Σx = 94,  Σx = 950 
Answers: n = 10,  Σx = 94,  Σx = 950,  x = 9.4000,  S = 7.3778,  S = 2.7162


Screenshots
TI-83 screen TI-83 screen TI-83 screen TI-83 screen
instructions data list answers
 
TI-83 screen TI-83 screen TI-83 screen TI-83 screen
instructions data list answers

 

Free Statistics Calculators

Free Statistics Calculators
These statistics calculators are free to be used by anyone in the research community at large. I hope you find them to be useful!
Standard Deviation Calculator
Standard Deviation - Calculator: Find the mean, variance, standard deviation of the given numbers. Standard Deviation is a measure of central tendency (i.e. how spread out your data is) from the mean (average).
Free Statistics Calculator
The Statistics Calculator puts significance testing in the palm of your hand. Get instant answers. No waiting or delays.
Free Statistics and Forecasting Software
This collection of Free Statistics Calculators offers a wide range of descriptive and explorative types of statistical measures and analysis
VassarStats: Website for Statistical Computation
Each of the links in white text in the panel on the left will show an annotated list of the statistical procedures available under that rubric
GraphPad QuickCalcs: free statistical calculators
QuickCalcs: Dozens of free online calculators for radioactivity calculations, detecting outliers, t tests, ANOVA post tests, and much more.
click me
Click on the picture
* Pre-Algebra
* Algebra 1
* Algebra 2
* Word Problems

Free Statistics eBooks

Introdutory Statistics Concepts, Models, and Applications
The book, Introductory Statistics: Concepts, Models, and Applications, presented in the following pages represents over twenty years of experience in teaching the material contained therein.
Concepts and Applications of Inferential Statistics
Concepts and Applications of Inferential Statistics, which is a free, full-length, and occasionally interactive statistics textbook.
HyperStat Online Statistics Textbook
One important use of descriptive statistics is to summarize a collection of data in a clear and understandable way. Inferential statistics are used to draw inferences about a population from a sample.
Statistics, StatSoft Electronic Textbook
This Textbook offers training in the understanding and application of statistics. The material was developed at the StatSoft R&D department based on many years of teaching undergraduate and graduate statistics
Getting Started with SPSS for Windows
Data can be entered into the Newdata window. Statistical and graphical procedures can be selected by clicking on the items Statistics or Graphs from the top menu bar of the SPSS window. Additional pop-up menus appear: make your selection and follow the directions in the resulting dialog boxes.
free e-books and guides on Statistics
some of the resources in this section can be viewed online and some of them can be downloadable
Schaum's Easy Outline of Probability and Statistics
- Designed to appeal to underprepared students and readers turned off by dense text
- Cartoons, sidebars, icons, and other graphic pointers get the material across fast
- Concise text focuses on the essence of the subject
- Delivers expert help from teachers who are authorities in their fields
- Perfect for last-minute test preparation
 
Universities Free Online Courses
Free Online Courses
MIT Courses Online
Open University Courses
Carnegie Mellon U.

Homework helpers - Probability / Statistics

Free Math Help.com - Homework Help!
A free message board for math help and discussion.
Step-by-Step Statistics and Probability Solutions
Search below for your Statistics and Probability textbook to start getting free Statistics and Probability homework help right now.
Homework Help Forums
Basic Math and Pre-Algebra - Algebra - Geometry and Trigonometry - Pre-Calculus and Calculus - Probability and Statistics
Statistics Help - Talk Stats
Descriptive statistics, estimating parameters, hypothesis testing, ANOVA, regression, statistics analysis
Free Math Help - Math Tutorials and Lessons
Our site offers a wide variety of free math resources, so please search around to find what you need. We are continuously adding new tutorials and lessons, online calculators and solved math problems.
Internet Homework Help
free homework help - links to math homework help
click me
Click on the picture
* Calculus
* Statistics
* Probability

 

If you are doing math and don't have a TI Programmable Calculator, you are at a disadvantage.
Texas Instruments TI-83 Plus Graphing Calculator; 64 H x 96mm W Screen

 

 
Reference:
Instructions: Click on the command name (in blue) to go to information on that command
  Commands or Statements:
    ClrHome  clears home screen
    dim(  returns the dimension (number of elements) of list
    Disp  displays text or value specified
    expr(  converts string to an expression
    Fix   sets fixed-decimal mode for number of decimal places
    Float  sets floating decimal mode. Displays decimal with no trailing zeros
    Goto  goes to label specified. Goto requires a line label be implemented as a destination
    Input  prompts for value to store to variable. Requires user input through keypad.
    Lbl  creates a label of one or two characters
    Menu  generates a menu of up to seven items
    output( row,column)   displays text or value beginning at specified row and column
    Pause [value] Displays value; suspends program execution until you press [ENTER]. Pause with value displays value on the current home screen. Value can be scrolled
    round( value [,# decimals])  returns a number rounded to # decimals (=<9)
    Str# (# is number)   String: A sequence of characters is called a string
    sum(  returns the sum of elements in list

Reference:
Instructions: Click on the link (in blue) to go to that link
  Information or Links:
This site contains typical problems and solutions on the general statistics topics of probability distributions, confidence intervals, hypothesis testing, analysis of variance, and correlation analysis.
http://www.wku.edu/~david.neal/statistics/
  Using the TI-83 graphing calculator tutorial
General Info - Algebra 1 - Statistics 1 - Algebra 2 - Trigonometry - Statistics 2 - PreCalculus - Calculus http://mathbits.com/mathbits/TISection/Openpage.htm
  TI-83 Video Tutorials
This series of tutorials for the TI-83 (or TI-83 Plus) Currently, only the chapters on single population confidence intervals, population hypothesis test, linear regression, Chi-Square and ANOVA are completed.
http://student.ccbcmd.edu/elmo/math141s/TIVideo/TIWebpage.htm
  TI-83 Guidebook
TI_Manuals/ti83Guidebook.pdf
 Getting Started has introduced you to basic TI.83 operation. This guidebook. describes in detail the features you used in Getting Started.
TI-83/84 Help Forums
TI-Calculator Help Forums
  TI Forum - Community / How Can We Help You?
If you tried searching the site, and didn't get any relevant results or find what you were looking for, please leave a post here with what you were searching for and somebody will try to help you.
tibasicdev.wikidot.com/forum
  United TI Forums - TI Basic
TI-Basic - Use this forum to post questions and discuss the TI-BASIC programming language.
http://www.unitedti.org/index.php?showforum=4
  devhardware.com/forums/ti-83-84
Programming forum discussing coding and everything related to the well-known TI-83/83+/84/84+ graphing calculators for math and science.
http://www.devhardware.com/forums/ti-83-84
Online Calculator
Online descriptive statistics calculator
Online Math Statistics calculators including mean, median, mode, standard deviation
http://easycalculation.com/statistics/statistics.php
  Descriptive statistics and CI of mean (Online Calculator)
Enter raw data and this calculator will calculate the mean, SD, SEM and confidence interval of the mean.
http://www.graphpad.com/quickcalcs/CImean1.cfm
Statistics Formulas
  Stat Trek
This web page presents statistics formulas described in the Stat Trek tutorials.
  Math Equations Formulas Calculator
Mathematics - Statistics - Geometry - Trigonometry
  Web Pages that Perform Statistical Calculations!
Over 600 Links (including 380 Calculating Pages) -- And Growing!
Bottom Page Menu
Outline Program Listing |Program Listing |Examples |Screenshots |Reference Commands |Reference Links |TI Calculator forums |Online Calculator |Statistics Formulas |Free Statistics Calculators |Statistics eBooks  |Homework Helpers |Standard Deviation SS |Standard Deviation Frq |TI 83/84 Emulator
 
picture from AnVisionWebTemplates.com
FREE TUTORIALS © copyright 2000-2012 @ Cadet Career Counseling all rights reserved
"Cadet Career Counseling" helping cadets make exceptional students.
Contact Webmaster at:(navyfalcon) e-mail
counter on iweb
http://www.youtube.com/watch?v=5kz16kbOTG0