Mean, Mode, Median

 the MEAN is the mathematical average of all the terms, the MODE is the value of the term that occurs the most often, and the MEDIAN is the value of the term in the middle.

Introduction:  The MEAN (or average) of a set of data values is the sum of all of the data values divided by the number of data values. The MEDIAN of a set of data values is the middle value of the data set when it has been arranged in ascending order. That is, from the smallest value to the highest value. The MODE of a set of data values is the value(s) that occurs most often.

Formula
	Mean	Standard Deviation	Variance

Description:
  AASTAT3 (AASTST © 2004 Brian Gordon) computes mean, median, and mode from a set of data, The "mean" is the "average", where you add up all the numbers and then divide by the number of numbers. The "median" is the "middle" value in the list of numbers. To find the median, your numbers have to be listed in numerical order, so you may have to rewrite your list first. The "mode" is the value that occurs most often. If no number is repeated, then there is no mode for the list.
Program written by Brian Gordon (bpgordon@adelphia.net)

  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 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 = 424

  Note: This program uses formulas in the program to calculate: mean, variance, standard deviation.

Related Articles:- StdDevSS    StDevFrq    StDevFrm

Outline:

  Line 1. Clear

  Line 2. Instructions

  Line 7. input data

  Line 30. mode

  Line 33. Sort A

  Line 35. multiple modes

  Line 39 display

    Examples

    Reference

    Reference Links

 

prgmAASTAT3

 

  Example 1: Median

List: 6, 7, 12, 13, 18, 23, 24

Answers:   MEDIAN = 13   MEAN = 14.714

  Example 2: Median

List: 7, 9, 12, 13, 15, 17, 21, 32, 41

Answers:   MEDIAN = 15   MEAN = 18.556

  Example 3: Mode

List: 13, 12, 11, 11, 10, 9, 9, 9, 6, 4

Answers:   MEDIAN = 9.5   MEAN = 9.4   MODE = {9}

 

Reference:

Commands or Statements:

  ClrHome   clears home screen

  dim(   returns the dimension (number of elements) of list

  Disp   displays text or value specified

  End   identifies end of For(, If-Then-Else, Repeat, or While loop

  expr(   converts string to an expression

  For( variable,begin,end[increment])    Executes commands through End, incrementing variable from begin by increment until End.

  Goto   goes to label specified. Goto requires a line label be implemented as a destination

  If; Then; Else   Executes commands from Then to Else If condition true: or from Else to End if condition false

  Input   prompts for value to store to variable. Requires user input through keypad.

  Lbl   creates a label of one or two characters

  mean(list   Returns the mean of list

  median(list   Returns the median of list

  round( value [,# decimals])  returns a number rounded to # decimals (=<9)

  SortA( listname)   Sorts elements of listname in ascending (count up) order

  Str# (# is number)   String: A sequence of characters is called a string

  sum(   returns the sum of elements in list

  While condition   Executes commands while condition is true until end

Reference:

  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

http://www.math.oregonstate.edu/home/programs/undergrad/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 Tutorial

http://calculator.maconstate.edu/calc_topics.html

 Working with Univariate Data; Working With Bivariate Data; Solving Equations/Inequalities; Counting Techniques; Probabilities; Confidence Intervals; Statistical Tests

  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