The distance from any point in a collection of data, to the mean of the data, is the deviation. If all such deviations are squared, then summed, we have the "sum of squares" for that data.
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
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:
STDDEVSS (Standard Deviation "Sum of Squares") takes as input either a list (list) of values or summary statistics (data)
values, (n = sample size, Sx = sum of items, S(x-x)² = sum of squares) 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 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 8, do not use a line break 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.
Note: This program uses formulas in the program to calculate: mean, variance, standard deviation.
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
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 tutorials by Topic
Working with Univariate Data - Working With Bivariate
Data - Probabilities - Confidence Intervals
