Brief Users Guide to List
Arithmetic for the
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.
To facilitate lookup, the instructions are divided into
the following categories:
Entering the List Tables - Getting to the list tables,
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
RELEASE DATE: 2/16/11 DATE LAST REVISED:
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
Press STAT, ENTER and the lists will be displayed.
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
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 2ND, 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
Ex: 2 Square L2 and store
in L4: Move the cursor to highlight the name of list L4.
Press 2nd, L2, x². (See Figure 3 below.) Press ENTER to
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 L2, and store the results in L5. Move the cursor so
the name for L5 is highlighted. Press
2nd, L1,x (multiply
sign),2nd, 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 2nd, 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 2nd, L1
(the number 1 key),
and ENTER. The sum will be displayed as in Figure 6 below.
Display of list MATH menu.
Figure 6: Display of sum(L1.
the sums of the remaining lists:
You need not go through all of the steps again. Merely
press 2nd, ENTER to redisplay the entry for the
sum of L1. Now, position the cursor so that L1 is
highlighted and press 2nd, 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.
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