Brief Users Guide to List Arithmetic for the   TI-83 Plus/TI-84

Content:  This document covers the arithmetic operations that can be performed on lists.  List arithmetic is a powerful tool for doing
the extensive arithmetic often included in basic statistics courses. 
 
INDEX:

To facilitate lookup, the instructions are divided into the following categories:

         I.  Entering the List Tables -  Getting to the list tables,
        II.  Clearing a list -  easily clear a list from the list tables,
       III.  Entering Data -  enter data in a the list tables,
       IV.  Square a list - Square each element of a list and store the result in another list,
        V.  Multiplying two lists–
       VI.  Getting the sum of lists –
      VII.  Getting the sum of multiple lists -

RELEASE DATE:  2/16/11         DATE LAST REVISED:  2/16/11

 © 2011 Frank Kizer     NOTE:  Copying  restrictions and printing hints are at the end of this document.

General:  The arithmetic of lists is a very powerful tool, especially for elementary statistics taught by those
who choose to go into detailed calculations of variance, standard deviation, and regression analysis. The calculators
mentioned in the title can be used to perform all of the basic mathematical operations on all of the elements of a
a list or of two lists.  Obviously, such operations as squaring all elements or multiplying the elements of one list
by those of another, and even adding the elements of a list can save considerable time.  That save time can be
used to learn important procedures rather than practicing arithmetic.
 

I.  Accessing List Tables:  Press STAT, ENTER and the lists will be displayed.

II.  Clearing a list:  Move the cursor so that the name is highlighted and press CLEAR, then ENTER.  See Figure 1 below.

Figure 1:  Clearing a list.

III.  Entering Data:  Position the cursor where you want to enter data, enter the number, and press ENTER.

IV.  Squaring the numbers in a list: Suppose we want to square the numbers in L₁ and store the results in L₃.   First position the cursor so that the name of the
   destination list is highlighted (L₃ in this example.).  Next press 2^ND, L1,x², ENTER.  The operation will be displayed at the bottom of the screen.  (See Figure 2 below.) 
   Press ENTER to store the numbers in L₃.

Figure 2.  Storing squared L₁ values in L₃.

 Ex: 2 Square L₂ and store in L₄:  Move the cursor to highlight the name of list L₄. Press 2^nd, L₂, x².  (See Figure 3 below.)  Press ENTER to store the
squared data in L₄.  

Figure 3.  Square y-values and store in L₄.

V.  Multiplying two lists:  Suppose we want to multiply two lists, for example “x” in L₁ times y in L_2, and store the results in L₅.  Move the cursor so that
the name for L₅ is highlighted.  Press 2^nd, L₁,x (multiply sign),2^nd, L₂.  (See Figure 4 below.)  Now press ENTER and the products will be stored in L₅

Figure 4: Multiplying L₁ times L₂.

VI.  Getting the sum of a list:  You must first get out of the list Edit function by pressing 2^nd, QUIT (the MODE key).  The list menu will be displayed.  Move
the cursor over to MATH (see figure 5 below) and press 5 to paste “sum(“ to the home screen.  (See Figure 6 below.)  Now, press 2^nd, L₁ (the number 1 key),
and ENTER.  The sum will be displayed as in Figure 6 below.

Figure 5:   Display of list MATH menu.

Figure 6:  Display of sum(L₁.

VII.  Getting the sums of the remaining lists:   You need not go through all of the steps again.  Merely press 2^nd, ENTER to redisplay the entry for the
sum of L₁.  Now, position the cursor so that L₁ is highlighted and press 2^nd, L₂ .  Press ENTER to get the sum of L₂.  Repeat these steps for each list.  Part
of the final screen is displayed in Figure 6 below.

Figure 6:  Repeated summing of lists by re-displaying and editing a summation.