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