Descriptive STATISTICS on the TI-83


Introduction: standard deviation:  a statistical calculation of the difference between an average and the individual values included in the average, or a measure of the dispersion of a set of data from its mean.
  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.
 Formula      
       Standard Deviation      Variance
Description:
  STDDEV takes as input either a list (list) of values or summary statistics (data) values, (n = sample size, Σx = sum of items, Σx² = sum items sq) and calculates the values (x = mean, S² = 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 line numbers, 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: This program uses the TI-83 built in formulas: dim; sum; mean; variance; stdDev.

prgmSTDDEV
   1.  ClrHome  comment: clears screen
   2.  Output(1,1,"SELECT LIST OR  
   3.  Output(2,1,"DATA TO BEGIN -  
   4.  Output(3,1,"USE COMMAS BTWN  
   5.  Output(4,1,"NUMBERS IN LIST  
   6.  Output(5,1,"ENTER n, Σx, Σx²  
   7.  Output(6,1,"FOR DATA  
   8.  Pause  
   9.  ClrHome  comment: clears screen
 10.  Float  comment: see note below
 11.  Menu("STD DEV","LIST",L,"DATA",D  
 12.  Lbl D  comment: input data items
 13.  Input "n =",N  
 14.  Input "Σx =",B  
 15.  Input "Σx² =",Y  
 16.  Goto X  
 17.  Lbl L  comment: input list items
 18.  Disp "DATA LIST  
 19.  Input "L1=",Str1  comment: see note below
 20.  expr("{"+Str1->L1  
 21.  ClrHome  comment: clears screen
 22.  dim(L1->N  comment: see note below
 23.  L1L1->L2  
 24.  sum(L2->Y  
 25.  sum(L1->B  comment: see note below
 26.  mean(L1->C  comment: see note below
 27.  variance(L1->S  comment: see note below
 28.  stdDev(L1->Z  comment: see note below
 29.  Lbl X  comment: display routine
 30.  ClrHome  comment: clears screen
 31.  Disp "n =  
 32.  Output(1,4,N  comment: displays sample size
 33.  Disp "Σx =  
 34.  Output(2,4,B  comment: displays sum X (Σx)
 35.  Disp "Σx ² =  
 36.  Output(2,4,Y  comment: displays sum X ² (Σx ²)
 37.  Fix 4  comment: see note below
 38.  Disp "x =  
 39.  Output(3,4,C  comment: displays mean (x)
 40.  Disp "S² =  
 41.  Output(4,4,S  comment: displays Variance
 42.  Disp "S =  
 43.  Output(5,4,Z  comment: displays Std Dev
 44.  Pause  
 45.  ClrHome  comment: clears screen
 46.  Stop  
 Note: Line 10. floating decimal mode displays up to 10 digits plus the sign and decimal.
 Note: Line 19. contents of Str1 {25,24,23,22,20,18,17,16,14,10,8}
 Note: Line 22. uses calculator formula dim
 Note: Line 25. uses calculator formula sum
 Note: Line 26. uses calculator formula mean
 Note: Line 27. uses calculator formula variance
 Note: Line 28. uses calculator formula stdDev
 Note: Line 37. fixed decimal mode specifies the number of digits (0 through 9) to be desplayed to the right of the decimal.
 
Example:
List: 25, 24, 23, 22, 20, 18, 17, 16, 14, 10, 8
Data: n = 11,  Σx = 197,  Σx² = 3843 
Answers: n = 11,  Σx = 197,  Σx² = 3843,  x = 17.9091,  S² = 31.4909,  S = 5.6117
 
Reference:
Statistical Inference on the TI-83
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/
 
Statistics on the TI-83
Descriptive Ststistics - Two variable Statistics - Probability Distribution - Inferential Statistics - Confidence Interval - Hypothrsis Testing - Chi-Square
http://www.cbu.edu/~wschrein/media/Stat/TI83Pman.pdf
 
Calculator tutorial by Topic
Working with Univariate Data - Working With Bivariate Data - Probabilities - Confidence Intervals
http://calculator.maconstate.edu/calc_topics.html
 
http://www4.ncsu.edu/unity/lockers/users/f/felder/public/kenny/papers/ti.htm
TI-83/84 user guide
 
statistics OSU
http://www.okstate.edu/ag/agedcm4h/academic/aged5980a/5980/newpage26.htm
 
ticalc.org
http://www.ticalc.org/programming/columns/83plus-bas/cherny/
TI-83 Basic Tutorial
 
ticalc.org
http://www.ticalc.org/pub/83/basic/math/
TI-83 Math Programs in BASIC