ADVANCED QUANTITATIVE REASONING
with the Casio fx-9860GII
Dr. Cathy Seeley
Charles A. Dana Center at the University of Texas - Austin
Unit II: Probability
(1c) How to write fractions in natural display using the Casio fx-9860GII
1. From the main menu, highlight the RUN•MAT icon
and press
l.
2. Press L then p for the Set-up screen; scroll
down to Frac Result. At the bottom of the screen,
there are two choices;
q will display fractions
as "improper", while w will display fractions as
mixed numbers.
3. Select q to display answers as "improper"
fractions. Then, press d to return to the initial
screen.
4. To enter the fraction
8
3
, press 3z8. This
calculator utilizes Natural Display, allowing for input
and output to appear as it would in a textbook.
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(1c) How to change fractions to decimals using the Casio fx-9860GII
1. Enter the fraction
8
3
by pressing 3z8l.
2. To change the fraction to a decimal representation,
press x. This is the "form to decimal" key and
operates as a toggle key.
3. You can return to fraction form by pressing x again.
(1c) How to change fractions (and decimals) to percents
1. For a number in fraction form, such as
8
3
, first
change to a decimal by pressing x.
2. Once the number is in decimal form, multiply by 100
to change to percent form. It may be necessary to
press x to display the number in decimal form
instead of fraction form.
Unit III: Statistical Studies
(1a) Seeding a calculator
It is not necessary to seed the Casio fx-9860GII.
(1e) How to use random sampling - choosing 5 schools from a list of 1000
1. From the main menu, highlight the RUN•MAT icon
and press l. If there is data on the screen, press
w(DEL), w(DEL-A), then q for yes.
2. Press iu(> ), e(PROB), r(RAND) and w
(Int). Then input 1,1000,5
kl
. The screen shot to the right displays the
random sample 494, 219, 869, 587, and 144. Each
sample will be unique.
3. To display the next sample of 5 schools, press l
again.
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(1e) How to fill in the table for Dream car using lists
Grade
Level
No. of
Students
Percentage
of Total
No. of
Students
for Sample
No. of
Students
for Sample
(Rounded)
7th 476
17.539 10.52
8th 511
9th 492
10th 473
11th 425
12th 337
Total 2,714
1. From the main menu, highlight the STAT icon
and press l. If any list contains data, highlight
any entry in the list and then press
u( ), >
r(DEL-A), then q to delete all entries in that
list. Repeat for each list containing data.
2. When all lists are cleared, title each column. Press
B to scroll to the SUB row. Then press La(A-
LOCK) to activate Alpha-lock. Using the red letters at
the top right of each key, type the titles. Press l
after typing each title. Only 6 characters may be used
for each title. The space is above the decimal point.
Repeat these steps for each column.
Title the lists as:
List 1 – GRADE
List 2 - ST NO
List 3 – PER TO
List 4 – SAMP N
List 5 - ROUND
3. Highlight the first entry in List 1. Enter the
grades into List 1 using only the number.
Press l after each entry. Scroll to the right
and up to move to the first entry of the next list.
4. Enter the number of students into List 2. Press l
after each number. Scroll to the right and up to
move to the next list. Do not enter the total.
5. Press
p. Highlight RUN•MAT and press l
to be in the correct menu to perform operations on
lists. In order to fill List 3 with the percentage of
the total, the calculator will divide each number in
List 2 by 2,714 and then multiply by 100. The result
will be stored in List 3. Do this by pressing
iqq
2M2714m100bq3l
.
6. In order to obtain the 60 samples needed, divide
List 3 by 100 and multiply by 60. Store these answers
in List 4. Do this by pressing
q3M100m60bq4l.
7. Press menu then highlight STAT and press l to
return to the lists. Scroll to the right to List 5. Round
the numbers in List 4 and enter the rounded values
into List 5.
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(2b#5) How to construct a histogram using the Casio fx-9860GII
1. From the main menu, highlight the STAT icon
and press l. If any list contains data, highlight
any entry in the list and then press u( ), >
r(DEL-A), then q to delete all entries in that
list. Repeat for each list containing data.
2. When all lists are cleared, enter the data given in
the problem into List 1: 2 students received an
average grade of 65, 7 students had 75, 9 students
had 85, and 3 students had 95. Press
l after
each entry.
3. Press
q(GRPH), u(SET), scroll down one line
to Graph Type, press
u(> ), then q(Hist). XList
should be List1 and Frequency should be 1. Press
d to return to the lists. Then press q(GPH1),
l.
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(2c) How to determine mean, standard deviation and 5-number summary using the Casio
fx-9860GII
The Phoenix Mercury of the Women’s National Basketball League had 14 players on the
roster for the 2008 season. The players and their average points per game (PPG) are shown
below.
Player
Diana
Taurasi
Cappie
Poindexter
Tangela
Smith
Le’coe
Willingham
Kelly
Miller
Kelly
Mazzante
LaToya
Pringle
PPG 24.1 21.2 11.1 10.1 8.3 5.8 4.4
Player
Brooke
Smith
Barbara
Farris
Olympia
Scott
Yuko
Oga
Allie
Quigley
Willnett
Crockett
Jennifer
Derevjanik
PPG 4.1 3.5 2.7 2.4 2.1 1.8 0.8
(Source: www.wnba.com/mercury/stats)
1. From the main menu, highlight the STAT icon
and press l. If any list contains data, highlight
any entry in the list and then press u( ),
>
r(DEL-A), then q to delete all entries in that
list. Repeat for each list containing data.
2. Enter the PPG data into List 1, pressing
l
after each entry.
3. Press w(CALC), then q(1VAR) to display all of
the 1-variable calculations for the data set. Scroll
down to view more calculations.
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(2c#9 on worksheet)
How to construct a box plot with and without outliers
1. From the main menu, highlight the STAT icon
and press
l. If any list contains data, highlight
any entry in the list and then press
u( ), >
r(DEL-A), then q to delete all entries in that
list. Repeat for each list containing data.
2. Enter the PPG data into List 1, pressing l
after each entry.
3. Press q(GRPH), then u(SET). Scroll down one
line to Graph Type and press u(
>
), then w(Box).
Scroll down to Outliers and press w(Off) to
construct the box plot without outliers. (Press
q(On) to construct the box plot with outliers.)
Press d to return to the previous screen, then
q(GPH1). The first screen shot on the right
displays the box plot without outliers. The second
screen shot displays the box plot with outliers.
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How to display two box plots using the same screen.
Using the same data as above, both the box plot with outliers and the box plot without
outliers will be displayed on the same screen.
1. From the main menu, highlight the STAT icon
and press l. If any list contains data, highlight
any entry in the list and then press u( ), >
r(DEL-A), then q to delete all entries in that
list. Repeat for each list containing data.
2. Enter the PPG data into List 1, pressing l
after each entry.
3. Press
q(GRPH), u(SET), then q(GRPH1). Scroll
down one line to Graph Type and press
u(> ),
w
(Box). Scroll down to Outliers and press w(Off)
to construct the box plot without outliers. Press d
to return to the previous screen. Press u(SET),
w(GRPH2). Scroll down one line to Graph
Type and press u(> ), then w(Box). Scroll down
to Outliers and press q(On) to construct the box plot
with outliers. Press d to return to the previous
screen. Press
r(SEL), then press q to turn
StatGraph1 on. Scroll down one place and press
q
to turn StatGraph2 on. Press
u(DRAW).
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(2b) How to save to document on classroom computer.
1. Download the FA-124 Program-Link software to the computer before connecting the
calculator to the computer. The software and cable came packaged with the Casio
fx-9860GII calculator. Connect the calculator to the computer using the cable
provided. Once connected, a connection mode screen will appear on the calculator.
Select DATA TRANSFER: [F1]. The following screen will appear on the computer.
Use the mouse to click the connection button in the top left corner (see the red
arrow on the screen shot below).
2. The following screen will appear on the computer. Click on the icon next to User1
(see the red arrow on the screen shot below).
3. Choose the file to transfer from the list that appears.
4. After selecting the data items to send, press u(TRANS). A message appears to
confirm executing the send operation. Press q(Yes). The calculator will display a
message when the transfer is complete.
Unit IV: Using Recursion in Models and Decision Making
(1b) How to enter bivariate data into lists using the Casio fx-9860GII
Use the following data:
WEEK 1 2 3 4 5 6 7 8 9 10
HEIGHT 5 12 26 39 51 88 94 103 112 115
1. From the main menu, highlight the STAT icon
and press l. If any list contains data, highlight
any entry in the list and then press u( ), >
r(DEL-A), then q to delete all entries in that
list. Repeat for each list containing data. Press u(
>
)
to return to original menu options.
2. When all lists are cleared, title each column using the
labels from the table. Press B to scroll to the SUB
row. Then press
La(A-LOCK) to activate
Alpha-lock. Using the red letters at the top right of
each key, type the titles. Press
l after typing each
title. Only 6 characters may be used for each title.
Press $ B and repeat these steps for the second
column.
3. Press ! to highlight the first entry in List 1 and enter
the numbers for week from the table above. Press
l after each entry.
4. Scroll to the right by pressing
$to get to the next list.
Enter each height into List 2. Press l after each entry.
(1b) How to graph a scatterplot using the Casio fx-9860GII
Use the same data:
WEEK 1 2 3 4 5 6 7 8 9 10
HEIGHT 5 12 26 39 51 88 94 103 112 115
1. Enter the bivariate data into the two lists, as shown in
the last section.
2. Press q(GRPH). (If q is TOOL instead of GRPH,
press u(
>
) first.)
3. Press u(SET). Scroll down to highlight Graph Type
and press q(Scat). Scroll down to XList, YList,
Frequency, and Mark Type, if necessary, to change to
the settings pictured on the right. Press d to return
to the previous screen.
4. Press r(SEL). Only StatGraph1 should be turned on.
If necessary, highlight the desired StatGraph and press
q(On) or w(Off) to change.
5. Press
u(DRAW).
(1b) How to determine “r” using the Casio fx-9860GII
Use the same data:
WEEK 1 2 3 4 5 6 7 8 9 10
HEIGHT 5 12 26 39 51 88 94 103 112 115
1. After entering the bivariate data and graphing, as
shown in the last two sections, press
q(CALC).
2. Press
w(X).
3. Press q(ax+b).
4. The correlation coefficient or “r” is 0.98109874.
(1c) How to enter recursive data into a table using the Casio fx-9860GII
Coen decides to take a job with a company that sells magazine subscriptions. He is paid $20
to start selling and then earns $1.50 for each subscription he sells. Limit your list to 50
entries.
1. From the main menu, highlight the RECUR icon
and press l.
2. When the screen to the right appears, press e(TYPE),
then q(a
n
).
3. Fill in the recursive formula, 1.5n + 20, by pressing
1.5q(n)+20l.
4. Highlight a
n.
Press y(SET). Set Start at 0 and End at
50, pressing
l after each entry.
5. Press
d to return to the previous screen.
6. Press u(TABL).
(1c) How to graph recursive table data using the Casio fx-9860GII
Coen decides to take a job with a company that sells magazine subscriptions. He is paid $20
to start selling and then earns $1.50 for each subscription he sells. Limit your list to 50
entries.
1. Enter the recursive data into a table, as shown in the
previous section.
2. Press u(G-PLT).
(1c) How to make a prediction with table data using the Casio fx-9860GII
How much does Coen earn if he sells 100 magazine subscriptions?
1. Enter the recursive data into a table, as shown two
sections above. Set the table to include the
prediction, 100 subscriptions. For example, start at 0
and end at 100. Scroll down the column to 100. The
second column, a
n
, contains the answer to the question.
(3b) How to enter data into a spreadsheet using the Casio fx-9860GII
Time
(t)
Temperature of
Liquid (L)
Temperature of
Liquid (L) – Room
Temperature (T)
First Differences
(∆T)
Successive Ratios
Above is the spreadsheet in which students are to record the data. Following are the steps
to record the data to a calculator spreadsheet.
1. From the main menu, highlight the S•SHT icon
and press l.
2. Data for the first two columns can be transferred from
the CBL equipment according to the directions of the
CBL or can be entered manually. Press l after each
entry.
3. Highlight cell C2, as shown on the right.
4. Each cell in column C will give the difference of each
consecutive pair of entries in column B. Enter the
formula to compute the difference of cell B2 and cell B1
by pressing
L.ag2-ag1l.
5. Highlight cell C2 and press w(EDIT), w(COPY), then
move the cursor to cell C3 and press
q(PASTE). Scroll
down to C4 and press q(PASTE). Continue through the
entire column.
6. Highlight the cell D2, as shown on the right. Press d
twice.
7. Each cell in column D is the ratio of each consecutive
pair of entries in column B. Start by entering the
formula to compute the ratio of cell B2 to cell B1.
by pressing
L.ag2Mag1l.
8. Highlight cell D2 and press w(EDIT), w(COPY), then
move the cursor to cell D3 and press q(PASTE). Scroll
down to D4 and press q(PASTE). Continue through the
entire column.
(3b) How to construct a graph from spreadsheet data using the Casio fx-9860GII
1. Using the spreadsheet from the last section, press
d until the screen on the right appears.
2. Press
u( ), choose q(GRPH).
>
3. Press u(SET). Set Graph Type to be Scatter by
pressing N, then q(Scat). Use the keypad and q(:)
to set the XCellRange to include all of the column A cells,
and the YCellRange to include all of the column B cells.
Refer to the screen shot on the right.
4. Press d to return to the previous screen. Press q
(GPH1).
(3b) How to graph a function over a scatter plot using the Casio fx-9860GII
1. Using the scatter plot from the last section, press
w
(DefG).
2. Enter the desired function, and press u(DRAW).
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