Casio ALGEBRA FX 2.0 User manual

19990401
List Function
A list is a storage place for multiple data items.
This calculator lets you store up to 20 lists in a single file, and
you can store up to six files in memory. Stored lists can be used
in arithmetic and statistical calculations, and for graphing.
3-1 Inputting and Editing a List
3-2 Manipulating List Data
3-3 Arithmetic Calculations Using Lists
3-4 Switching Between List Files
Chapter
3
List 1 List 2 List 3 List 4 List 5 List 20
156 1 107 3.5 4 0
237 2 75 6 0 0
321 4 122 2.1 0 0
469 8 87 4.4 2 0
540 16 298 3 0 0
648 32486.8 3 0
793 64 338 2 9 0
830 128 49 8.7 0 0
••••••
••••••
••••••
•
•
•
•
••••••
Element number Display range Cell
Row
List name
Column

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3-1 Inputting and Editing a List
Enter the STAT Mode from the Main Menu to input data into a list and to manipulate list data.
uu
uu
uTo input values one-by-one
Use the cursor keys to move the highlighting to the list name or cell you want to select.
The screen automatically scrolls when the highlighting is located at either edge of the
screen.
The following example is performed starting with the highlighting located at Cell 1 of List 1.
1. Input a value and press wto store it in the list.
dw
•The highlighting automatically moves down to the
next cell for input.
2. Input the value 4 in the second cell, and then input the result of 2 + 3 in the next cell.
ewc+dw
3-1-1
Inputting and Editing a List
#You can also input the result of an expres-
sion or a complex number into a cell.
#You can input value for up to 255 cells in a single
list.

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uu
uu
uTo batch input a series of values
1. Use the cursor keys to move the highlighting to another list.
2. Press !*( { ), and then input the values you want, pressing ,between each one.
Press !/( } ) after inputting the final value.
!*( { )g,h,i!/( } )
3. Press wto store all of the values in your list.
w
You can also use list names inside of a mathematical expression to input values into another
cell. The following example shows how to add the values in each row in List 1 and List 2, and
input the result into List 3.
1. Use the cursor keys to move the highlighting to the name of the list where you want the
calculation results to be input.
2. Press Kand input the expression.
K1(LIST)b(List)b+
K1(LIST)b(List)cw
3-1-2
Inputting and Editing a List
#You can also use !b(List) in place of
K1(LIST)b(List).
# Remember that a comma separates values, so
you should not input a comma after the final
value of the set you are inputting.
Right: {34, 53, 78}
Wrong: {34, 53, 78,}

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kk
kk
kEditing List Values
uu
uu
uTo change a cell value
Use dor eto move the highlighting to the cell whose value you want to change. Input the
new value and press wto replace the old data with the new one.
uu
uu
uTo edit the contents of a cell
1. Use the cursor keys to move the highlighting to the cell whose contents you want to
edit.
2. Press 6(䉯)2(EDIT) to display the contents of the cell at the bottom of the screen.
3. Make any changes in the data you want.
uu
uu
uTo delete a cell
1. Use the cursor keys to move the highlighting to the cell you want to delete.
2. Press 3(DEL) to delete the selected cell and cause everything below it to be shifted
up.
3-1-3
Inputting and Editing a List
# The cell delete operation does not affect cells
in other lists. If the data in the list whose cell
you delete is somehow related to the data in
neighboring lists, deleting a cell can cause
related values to become misaligned.

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uu
uu
uTo delete all cells in a list
Use the following procedure to delete all the data in a list.
1. Use the cursor key to move the highlighting to any cell of the list whose data you want
to delete.
2. Pressing 4(DEL
•
A) causes a confirmation message to appear.
3. Press w(Yes) to delete all the cells in the selected list or i(No) to abort the delete
operation without deleting anything.
uu
uu
uTo insert a new cell
1. Use the cursor keys to move the highlighting to the location where you want to insert
the new cell.
2. Press 5(INS) to insert a new cell, which contains a value of 0, causing everything
below it to be shifted down.
#The cell insert operation does not affect cells in
other lists. If the data in the list where you insert
a cell is somehow related to the data in
3-1-4
Inputting and Editing a List
neighboring lists, inserting a cell can cause
related values to become misaligned.

19990401
kk
kk
kSorting List Values
You can sort lists into either ascending or descending order. The highlighting can be located
in any cell of the list.
uu
uu
uTo sort a single list
Ascending order
1. While the lists are on the screen, press 6(䉯)1(SORT)b(SortA).
2. The prompt “How Many Lists?: ” appears to ask how many lists you want to sort. Here
we will input 1 to indicate we want to sort only one list.
bw
3. In response to the “Select List List No: ” prompt, input the number of the list you want
to sort.
bw
Descending order
Use the same procedure as that for the ascending order sort. The only difference is that
you should press c(SortD) in place of b(SortA).
3-1-5
Inputting and Editing a List

19990401
uu
uu
uTo sort multiple lists
You can link multiple lists together for a sort so that all of their cells are rearranged in
accordance with the sorting of a base list. The base list is sorted into either ascending order
or descending order, while the cells of the linked lists are arranged so that the relative
relationship of all the rows is maintained.
Ascending order
1. While the lists are on the screen, press 6(䉯)1(SORT)b(SortA).
2. The prompt “How Many Lists?: ” appears to ask how many lists you want to sort. Here
we will sort one base list linked to one other list, so we should input 2.
cw
3. In response to the “Select Base List List No: ” prompt, input the number of the list you
want to sort into ascending order. Here we will specify List 1.
bw
4. In response to the “Select Second List List No:” prompt, input the number of the list
you want to link to the base list. Here we will specify List 2.
cw
3-1-6
Inputting and Editing a List

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3-1-7
Inputting and Editing a List
Descending order
Use the same procedure as that for the ascending order sort. The only difference is that
you should press c(SortD) in place of b(SortA).
#You can specify a value from 1 to 6 as the
number of lists for sorting.
#If you specify a list more than once for a single
sort operation, an error occurs.
An error also occurs if lists specified for sorting
do not have the same number of values (rows).
#Specifying a value of 0 for the number of lists
causes all the lists in the file to be sorted. In
this case you specify a base list on which all
other lists in the file are sorted.

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3-2 Manipulating List Data
List data can be used in arithmetic and function calculations. In addition, various list data
manipulation functions makes manipulation of list data quick and easy.
You can use list data manipulation functions in the RUN
•
MAT,STAT,GRPH
•
TBL,EQUA and
PRGM Modes.
kk
kk
kAccessing the List Data Manipulation Function Menu
All of the following examples are performed after entering the RUN
•
MAT Mode.
Press Kand then 1(LIST) to display the list data manipulation menu, which contains the
following items.
•{List}/{Dim}/{Seq}/{Min}/{Max}/{Mean}/{Median}/{Sum}/{Prod}/{Cuml}/{%}/{AA
AA
AList}/
{Augmnt}/{Fill}/{L→Mat}
Note that all closing parentheses at the end of the following operations can be omitted.
uTo count the number of data items in a list [OPTN]-[LIST]-[Dim]
K1(LIST)c(Dim)1(LIST)b(List) <list number 1-20> w
•The number of cells a list contains is its “dimension.”
○○○○○
Example To count the number of values in List 1 (36,16,58,46,56)
AK1(LIST)c(Dim)
1(LIST)b(List)bw
uTo create a list or matrix by specifying the number of data items
[OPTN]-[LIST]-[Dim]
Use the following procedure to specify the number of data in the assignment statement
and create a list.
<number of data n>aK1(LIST)c(Dim)1(LIST)b(List)
<list number 1-20>w
n= 1 ~ 255
3-2-1
Manipulating List Data

19990401
○○○○○
Example To create five data items (each of which contains 0) in List 1
AfaK1(LIST)c(Dim)
1(LIST)b(List) bw
You can view the newly created list by entering
the STAT Mode.
Use the following procedure to specify the number of data rows and columns, and the matrix
name in the assignment statement and create a matrix.
!*({)<number of row m> ,<number of column n> !/(})a
K1(LIST)c(Dim)2(MAT)b(Mat)a<matrix name>w
m,n= 1 ~ 255, matrix name; A ~ Z
○○○○○
Example To create a 2-row ×3-column matrix (each cell of which
contains 0) in Matrix A
A!*({)c,d!/(})a
K1(LIST)c(Dim)
2(MAT)b(Mat)av(A)w
The following shows the new contents of Mat A.
uTo replace all data items with the same value [OPTN]-[LIST]-[Fill]
K1(LIST)c(Fill) <value>,1(LIST)b(List) <list number 1-20>)w
○○○○○
Example To replace all data items in List 1 with 3
AK1(LIST)c(Fill)
d,1(LIST)b(List)b)w
The following shows the new contents of List 1.
3-2-2
Manipulating List Data

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3-2-3
Manipulating List Data
uTo generate a sequence of numbers [OPTN]-[LIST]-[Seq]
K1(LIST)d(Seq) <expression> ,<variable name> ,<start value>
,<end value> ,<increment> )w
•The result of this operation is stored in ListAns Memory.
○○○○○
Example To input the number sequence 12,62,112, into a list, using the function
f(x) = X2. Use a starting value of 1, an ending value of 11, and an
increment of 5
AK1(LIST)d(Seq)vx,
v,b,bb,f)w
Specifying an ending value of 12, 13, 14, or 15 produces the same result as shown above,
because all of them are less than the value produced by the next increment (16).
uTo find the minimum value in a list [OPTN]-[LIST]-[Min]
K1(LIST)e(Min)1(LIST)b(List) <list number 1-20> )w
○○○○○
Example To find the minimum value in List 1 (36,16,58,46,56)
AK1(LIST)e(Min)
1(LIST)b(List)b)w
uTo find the maximum value in a list [OPTN]-[LIST]-[Max]
Use the same procedure as when finding the minimum value (Min), except press f(Max) in
place of e(Min).

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3-2-4
Manipulating List Data
uTo find which of two lists contains the smallest value [OPTN]-[LIST]-[Min]
K1(LIST)e(Min)1(LIST)b(List) <list number 1-20>
,1(LIST)b(List) <list number 1-20>)w
•The two lists must contain the same number of data items. If they don’t, an error occurs.
•The result of this operation is stored in ListAns Memory.
○○○○○
Example To find whether List 1 (75,16,98,46,56) or List 2 (35,59,58,72,67)
contains the smallest value
K1(LIST)e(Min)
1(LIST)b(List)b,
1(LIST)b(List)c)w
uTo find which of two lists contains the greatest value [OPTN]-[LIST]-[Max]
Use the same procedure as that for the smallest value, except press f(Max) in place of
e(Min).
•The two lists must contain the same number of data items. If they don’t, an error occurs.
uTo calculate the mean of data items [OPTN]-[LIST]-[Mean]
K1(LIST)g(Mean)1(LIST)b(List) <list number 1-20>)w
○○○○○
Example To calculate the mean of data items in List 1 (36,16,58,46,56)
AK1(LIST)g(Mean)
1(LIST)b(List)b)w
uTo calculate the mean of data items of specified frequency
[OPTN]-[LIST]-[Mean]
This procedure uses two lists: one that contains values and one that indicates the frequency
(number of occurrences) of each value. The frequency of the data in Cell 1 of the first list is
indicated by the value in Cell 1 of the second list, etc.
•The two lists must contain the same number of data items. If they don’t, an error occurs.
K1(LIST)g(Mean)1(LIST)b(List)<list number 1-20 (data)>
,1(LIST)b(List)<list number 1-20 (frequency)>)w

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○○○○○
Example To calculate the mean of data items in List 1 (36,16,58,46,56),whose
frequency is indicated by List 2 (75,89,98,72,67)
AK1(LIST)g(Mean)
1(LIST)b(List)b,
1(LIST)b(List)c)w
uTo calculate the median of data items in a list [OPTN]-[LIST]-[Med]
K1(LIST)h(Median)1(LIST)b(List)<list number 1-20>)w
○○○○○
Example To calculate the median of data items in List 1 (36,16,58,46,56)
AK1(LIST)h(Median)
1(LIST)b(List)b)w
uTo calculate the median of data items of specified frequency
[OPTN]-[LIST]-[Med]
This procedure uses two lists: one that contains values and one that indicates the frequency
(number of occurrences) of each value. The frequency of the data in Cell 1 of the first list is
indicated by the value in Cell 1 of the second list, etc.
•The two lists must contain the same number of data items. If they don’t, an error occurs.
K1(LIST)h(Median)1(LIST)b(List) <list number 1-20 (data)>
,1(LIST)b(List) <list number 1-20 (frequency)>)w
○○○○○
Example To calculate the median of values in List 1 (36,16,58,46,56),whose
frequency is indicated by List 2 (75,89,98,72,67)
AK1(LIST)h(Median)
1(LIST)b(List)b,
1(LIST)b(List)c)w
3-2-5
Manipulating List Data

19990401
uTo calculate the sum of data items in a list [OPTN]-[LIST]-[Sum]
K1(LIST)i(Sum)1(LIST)b(List)<list number 1-20>w
○○○○○
Example To calculate the sum of data items in List 1 (36,16,58,46,56)
AK1(LIST)i(Sum)
1(LIST)b(List)bw
uTo calculate the cumulate product of a list [OPTN]-[LIST]-[Prod]
K1(LIST)j(Prod)1(LIST)b(List)<list number 1-20>w
○○○○○
Example To calculate the cumulative product of the data in List 1 (2,3,6,5, 4)
AK1(LIST)j(Prod)
1(LIST)b(List)bw
uTo calculate the cumulative frequency of each data item
[OPTN]-[LIST]-[Cuml]
K1(LIST)v(Cuml)1(LIST)b(List) <list number 1-20>w
•The result of this operation is stored in ListAns Memory.
○○○○○
Example To calculate the cumulative frequency of each data item in List 1
(2,3,6,5,4)
AK1(LIST)v(Cuml)
1(LIST)b(List)bw
3-2-6
Manipulating List Data
2+3=
2+3+6=
2+3+6+5=
2+3+6+5+4=

19990401
uTo calculate the percentage represented by each data item
[OPTN]-[LIST]-[%]
K1(LIST)l(%)1(LIST)b(List)<list number 1-20>w
•The above operation calculates what percentage of the list total is represented
by each data item.
•The result of this operation is stored in ListAns Memory.
○○○○○
Example To calculate the percentage represented by each data item in List 1
(2,3,6,5,4)
AK1(LIST)l(%)
1(LIST)b(List)bw
uTo calculate the differences between neighboring data inside a list
[OPTN]-[LIST]-[AA
AA
AList]
K1(LIST)I(AList)<list number 1-20>w
•The result of this operation is stored in ListAns memory.
○○○○○
Example To calculate the difference between the data items in List 1
(1, 3, 8, 5, 4)
AK1(LIST)I(AList)
bw
3-2-7
Manipulating List Data
# You can specify the location of the new list (List 1
through List 20) with a statement like: AList 1 →
List 2. You cannot specify another memory or
ListAns as the destination of the AList operation.
An error also occurs if you specify a AList as the
destination of the results of another AList
operation.
# The number of cells in the new AList is one
less than the number of cells in the original list.
#An error occurs if you execute AList for a list
that has no data or only one data item.
2/(2+3+6+5+4) × 100 =
3/(2+3+6+5+4)
× 100 =
6/(2+3+6+5+4)
× 100 =
5/(2+3+6+5+4) × 100 =
4/(2+3+6+5+4)
× 100 =
3 – 1 =
8 – 3 =
5 – 8 =
4 – 5 =

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uu
uu
uTo combine lists [OPTN]-[LIST]-[Augmnt]
•You can combine to different lists into a single list. The result of a list combination
operation is stored in ListAns memory.
K1(LIST)s(Augmnt)1(LIST)b(List) < list number 1-20 >
,1(LIST)b(List) < list number 1-20 >)w
○○○○○
Example To combine the List 1 (–3, –2) and List 2 (1, 9, 10)
AK1(LIST)s(Augmnt)
1(LIST)b(List)b,
1(LIST)b(List)c)w
uTo transfer list contents to Matrix Answer Memory [OPTN]-[LIST]-[L→Mat]
K1(LIST)t(L→Mat)1(LIST)b(List) <list number 1-20>
,1(LIST)b(List) <list number 1-20> )w
•You can skip input 1(LIST)b(List) in the part of the above operation.
Example: List →Mat (1, 2)w
○○○○○
Example To transfer the contents of List 1 (2,3,6,5,4) to column 1, and the
contents of List 2 (11,12,13,14,15) to column 2 of Matrix Answer
Memory
AK1(LIST)t(L→Mat)
1(LIST)b(List)b,
1(LIST)b(List)c)w
3-2-8
Manipulating List Data

19990401
3-3 Arithmetic Calculations Using Lists
You can perform arithmetic calculations using two lists or one list and a numeric value.
Calculation results are
stored in ListAns Memory.
kError Messages
•Acalculation involving two lists performs the operation between corresponding cells.
Because of this, an error occurs if the two lists do not have the same number of values
(which means they have different “dimensions”).
•An error occurs whenever an operation involving any two cells generates a mathematical
error.
kInputting a List into a Calculation
There are two methods you can use to input a list into a calculation.
uTo input a specific list by name
1. Press Kto display the first Operation Menu.
• This is the function key menu that appears in the RUN
•
MAT Mode when you press K.
2. Press 1(LIST) to display the List Data Manipulation Menu.
3. Press b(List) to display the “List” command and input the number of the list you want
to specify.
3-3-1
Arithmetic Calculations Using Lists
List
Numeric Value
List
Numeric Value
+
−
×
÷
=List
ListAns Memory

19990401
uTo directly input a list of values
You can also directly input a list of values using {, }, and ,.
○○○○○
Example 1 To input the list: 56,82,64
!*({)fg,ic,
ge!/(})
41 6
○○○○○
Example 2 To multiply List 3
(
= 65
)
by the list 0
22 4
K1(LIST)b(List)d*!*({)g,a,e!/(})w
246
The resulting list 0is stored in ListAns Memory.
88
uTo assign the contents of one list to another list
Use ato assign the contents of one list to another list.
○○○○○
Example 1 To assign the contents of List 3 to List 1
K1(LIST)b(List)da1(LIST)b(List)bw
In place of K1(LIST)b(List)doperation in the above procedure, you could input
!*({)eb,gf,cc!/(}).
○○○○○
Example 2 To assign the list in ListAns Memory to List 1
K1(LIST)b(List)!-(Ans)a1(LIST)b(List)bw
3-3-2
Arithmetic Calculations Using Lists

19990401
uTo recall the value in a specific list cell
You can recall the value in a specific list cell and use it in a calculation. Specify the cell
number by enclosing it inside square brackets.
○○○○○
Example To calculate the sine of the value stored in Cell 3 of List 2
sK1(LIST)b(List)c!+([)d!-(])w
uTo input a value into a specific list cell
You can input a value into a specific list cell inside a list. When you do, the value that was
previously stored in the cell is replaced with the new value you input.
○○○○○
Example To input the value 25 into Cell 2 of List 3
cfaK1(LIST)b(List)d!+([)c!-(])w
kRecalling List Contents
○○○○○
Example To recall the contents of List 1
K1(LIST)b(List)bw
•The above operation displays the contents of the list you specify and also stores them
in ListAns Memory. You can then use the ListAns Memory contents in a calculation.
uTo use list contents in ListAns Memory in a calculation
○○○○○
Example To multiply the list contents in ListAns Memory by 36
K1(LIST)b(List)!-(Ans)*dgw
•The operation K1(LIST)b(List)!-(Ans) recalls ListAns Memory contents.
•This operation replaces current ListAns Memory contents with the result of the above
calculation.
3-3-3
Arithmetic Calculations Using Lists

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kGraphing a Function Using a List
When using the graphing functions of this calculator, you can input a function such as Y1 =
List 1 X. If List 1 contains the values 1, 2, 3, this function will produces three graphs:Y = X,
Y = 2X, Y = 3X.
There are certain limitations on using lists with graphing functions.
kInputting Scientific Calculations into a List
You can use the numeric table generation functions in the Table & Graph Menu to input
values that result from certain scientific function calculations into a list. To do this, first
generate a table and then use the list copy function to copy the values from the table to the
list.
kPerforming Scientific Function Calculations Using a List
Lists can be used just as numeric values are in scientific function calculations. When the
calculation produces a list as a result, the list is stored in ListAns Memory.
41
○○○○○
Example To use List 3 65 to perform sin (List 3)
22
Use radians as the angle unit.
sK1(LIST)b(List)dw
–0.158
The resulting list 0.8268 is stored in ListAns Memory.
–8E–3
In place of the K1(LIST)b(List)doperation in the above procedure, you could input
!*({) eb,gf,cc!/(}).
3-3-4
Arithmetic Calculations Using Lists