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TI-34 MultiView™
Scientific Calculator
Guidebook
Learn more about TI Technology through the online help at education.ti.com/eguide.
ii
Important information
Texas Instruments makes no warranty, either express or implied, including but not
limited to any implied warranties of merchantability and fitness for a particular
purpose, regarding any programs or book materials and makes such materials
available solely on an "as-is" basis. In no event shall Texas Instruments be liable to
anyone for special, collateral, incidental, or consequential damages in connection with
or arising out of the purchase or use of these materials, and the sole and exclusive
liability of Texas Instruments, regardless of the form of action, shall not exceed the
purchase price of this product. Moreover, Texas Instruments shall not be liable for any
claim of any kind whatsoever against the use of these materials by any other party.
MathPrint, APD, Automatic Power Down, EOS, and MultiView are trademarks of Texas
Instruments Incorporated.
Copyright © 2019 Texas Instruments Incorporated
Contents
Getting Started 1
Examples 1
Switching the Calculator On and Off 1
Display Contrast 1
Home Screen 1
2nd Functions 2
Modes 2
Menus 4
Scrolling 6
Answer Toggle 7
Last Answer 8
Order of Operations 8
Clearing and Correcting 10
Math Operations 10
Memory and Stored Variables 12
Math Functions 15
Integer Divide 15
Fractions 15
Percentages 17
x10n Key 18
Powers, Radicals, and Reciprocals 19
Pi 20
Angle Menu 21
Trigonometry 23
Logarithms and Exponential Functions 25
Statistics 26
Probability 30
Math Tools 33
Data Editor and List Conversions 33
Stored Operations (op) 35
Reference Information 37
Errors 37
Battery Information 38
In Case of Difficulty 39
General Information 40
iii
1 Getting Started
Getting Started
Examples
Each section is followed by instructions for keystroke examples that demonstrate the
TI-34 MultiView functions.
Examples assume all default settings, as shown in the Modes section.
For more activities and examples, see the TI-34 MultiView Teacher Guide available at
education.ti.com/guides.
Switching the Calculator On and Off
&turns on the TI-34 MultiView calculator % ' turns it off. The display is
cleared, but the history, settings, and memory are retained.
The APD (Automatic Power Down™) feature turns off the TI-34 MultiView calculator
automatically if no key is pressed for about 5 minutes. Press &after APD. The
display, pending operations, settings, and memory are retained.
Display Contrast
The brightness and contrast of the display can depend on room lighting, battery
freshness, and viewing angle.
To adjust the contrast:
1. Press and release the %key.
2. Press T(to darken the screen) or U(to lighten the screen).
Home Screen
On the Home screen, you can enter mathematical expressions and functions, along
with other instructions. The answers are displayed on the Home screen. The TI-34
MultiView screen can display a maximum of four lines with a maximum of 16
characters per line. For entries and expressions of more than 16 characters, you can
scroll left and right (!and ") to view the entire entry or expression.
In the MathPrint™ mode, you can enter up to four levels of consecutive nested
functions and expressions, which include fractions, square roots, exponents with ^, xÑ,
and x2.
When you calculate an entry on the Home screen, depending upon space, the answer is
displayed either directly to the right of the entry or on the right side of the next line.
Special indicators may display on the screen to provide additional information
concerning functions or results.
Indicator Definition
2ND 2nd function.
FIX Fixed-decimal setting. (See Modes section.)
SCI Scientific notation. (See Modes section.)
DEG, RAD Angle mode (degrees or radians). (See Modes
section.)
L1, L2, L3 Displays above the lists in Data Editor and List
Conversions.
The TI-34 MultiView calculator is performing
an operation.
º » An entry is stored in memory before and/or
after the active screen. Press #and $to
scroll.
¸ ¹ An entry or menu displays beyond 16 digits.
Press !and "to scroll. (See Scrolling for
more information.)
2nd Functions
%
Most keys can perform two functions. The primary function is indicated on the key and
the secondary function is displayed above it. Press %to activate the secondary
function of a given key. Notice that 2nd appears as an indicator on the screen. To
cancel it before entering data, press %again. For example, 3% c 125 <
calculates the cube root of 125 and returns the result, 5.
Modes
q
Use qto choose modes. Press $ # ! " to choose a mode, and <to select it.
Press -or % s to return to the Home screen and perform your work using the
chosen mode settings.
Default settings are shown.
DEGRAD Sets the angle mode to degrees or radians.
NORMSCI Sets the numeric notation mode. Numeric notation modes affect only the
display of results, and not the accuracy of the values stored in the unit, which remain
maximal.
NORM displays results with digits to the left and right of the decimal, as in
123456.78.
SCI expresses numbers with one digit to the left of the decimal and the appropriate
power of 10, as in 1.2345678x105(which is the same as 123456.78).
Getting Started 2
3 Getting Started
Note: Cis a shortcut key to enter a number in scientific notation format. The
result displays in the numeric notation format set in mode.
Note: In some restricted environments (for example, data editor and the %
hmenu), the TI-34 MultiView calculator may display Einstead of x10n.
FLOAT0123456789 Sets the decimal notation mode.
FLOAT (floating decimal point) displays up to 10 digits, plus the sign and decimal.
0123456789 (fixed decimal point) specifies the number of digits (0 through 9) to
display to the right of the decimal.
CLASSICMATHPRINT
CLASSIC mode displays inputs and outputs in a single line.
MATHPRINT mode displays most inputs and outputs in textbook format. Choose the
MathPrint™ mode for better visual confirmation that math expressions have been
entered correctly and to better reinforce the correct math notation.
Note: Switching the mode between Classic and MathPrint clears calculator history
and the stored operations (op1 or op2) value.
Un/dn/d Determines how fractional results are displayed. Un/d displays results as a
mixed number, if applicable. n/d displays results as a simple fraction.
MANSIMPAUTOSIMP Determine whether or not a fractional result will be simplified
automatically.
MANSIMP The user simplifies fractions manually step-by-step. »next to the
resulting fraction signifies that the fraction is not yet in simplest form. See
Fractions, }for details.
AUTOSIMP The calculator automatically simplifies fractional results to the lowest
terms.
Example of Classic and MathPrint Modes
Classic mode MathPrint mode
Sci Sci
Float mode and answer toggle
key.
Float mode and answer toggle
key.
Fix 2 Fix 2 and answer toggle key.
Classic mode MathPrint mode
n/d Un/d
Mansimp
Autosimp
Exponent example Exponent example
Cube root example Cube root example
Menus
Certain keys display menus: H,% =,% A,% B,d,v v,%
t,% , % h, and % {.
Press $and "to scroll and select a menu item, or press the corresponding number
next to the menu item. To return to the previous screen without selecting the item,
press -. To exit a menu or application and return to the Home screen, press %
s.
Getting Started 4
5 Getting Started
The menu chart shows the menu keys and the menus they display.
H% =
PRB RAND DMS R ³ ´ P
1: nPr
2: nCr
3: !
1: rand
2: randint(
1: °
2: Å
3: Æ
4: r
5: ´DMS
1: R ´Pr(
2: R ´Pq(
3: P ´Rx(
4: P ´Ry(
% A % B
LOG LN TRIG
1: log(
2: 10^(
1: ln(
2: e^(
1: sin(
2: cos(
3: tan(
4: sin-1(
5: cos-1(
6: tan-1(
d
MATH NUM
1: lcm(
2: gcd(
3: 3
4: 3Ñ(
1: abs(
2: round(
3: iPart(
4: fPart(
5: min(
6: max(
7: remainder(
v v
Press once to display the Data editor screen. Press again to display the menu.
CLEAR CNVRSN
1: Clear L1
2: Clear L2
3: Clear L3
4: Clear ALL
1: Add/Edit Cnvrs
2: Clear L1 Cnvrs
3: Clear L2 Cnvrs
4: Clear L3 Cnvrs
5: Clear ALL
Press vwhile you are in the Add/Edit Conversion option of the CNVRSN menu to
display this menu:
Ls
1: L1
2: L2
3: L3
% t
STATS
1: 1-Var Stats
2: 2-Var Stats
3: StatVars*
* This menu option displays after you calculate 1-var or 2-var stats:
StatVars
1: n
2: Ï
3: Sx
Etc. See Statistics
values for a full list.
% % h % {
Reset Recall Var Clear Var
1: No
2: Yes
1: x =
2: y =
3: z =
4: t =
5: a =
6: b =
7: c =
1: Yes
2: No
Scrolling
! " # $
Press !or "to scroll entries on the Home screen and to navigate in menus. Press
% ! or % " to move the cursor directly to the beginning or end of the current
expression.
Getting Started 6
7 Getting Started
#and $moves the cursor up and down through menu items, entries in Data editor,
and previous entries on the Home screen. You can reuse a previous entry by pressing
<to paste it on the bottom line, and then evaluating a new expression.
% # moves the cursor to the top entry of the active column in Data editor, or to the
previous entry on the Home screen. Press % # again to move the cursor to the
oldest entry on the Home screen.
% $ moves the cursor to the first blank row of the active column in Data editor, or
below the last entry on the Home screen.
Examples
Scroll 1T1<
2T2<
3T3<
4T4<
####<
T2<
Answer Toggle
r
Press the rkey to toggle the display result between fraction and decimal answers,
and exact pi and decimal.
Example
Answer
toggle
2g <
r
Last Answer
% i
The most recently calculated result is stored to the variable ans.ans is retained in
memory, even after the TI-34 MultiView calculator is turned off. To recall the value
of ans:
Press % i (ans displays on the screen), or
Press any operations key (T,U, and so forth) as the first part of an entry. ans and
the operator are both displayed.
Examples
ans 3V3<
V3<
3% c % i
<
Order of Operations
The TI-34 MultiView calculator uses Equation Operating System (EOS) to evaluate
expressions. Within a priority level, EOS evaluates functions from left to right and in
the following order.
1st Expressions inside parentheses.
2nd Functions that need a )and precede the
argument, such as sin,log, and all R³´Pmenu
items.
Getting Started 8
9 Getting Started
3rd Fractions.
4th Functions that are entered after the argument,
such as x2and angle unit modifiers.
5th Exponentiation (^) and roots (xÑ).
Note: In Classic mode, exponentiation using G
is evaluated from left to right. The expression
2^3^2 is evaluated as (2^3)^2, with a result of
64.
In MathPrint™ mode, exponentiation using Gis
evaluated from right to left. The expression
2^3^2 is evaluated as 2^(3^2), with a result of
512.
The TI-34 MultiView calculator evaluates
expressions entered with Ffrom left to right
in both Classic and MathPrint modes.
6th Negation (L).
7th Permutations (nPr) and combinations (nCr).
8th Multiplication, implied multiplication, division.
9th Addition and subtraction.
10th Conversions (n/d³´Un/d,f³´d,´DMS).
11th <completes all operations and closes all
open parentheses.
Examples
+Q P L 60 T5V M 12
<
(L)1T M 8T12
<
() b9T16 <
4V D 2T3E
<
4D2T3E <
^ and xÑ b 3G2" T 4
G2<
Clearing and Correcting
-Clears characters and error messages.
Clears characters on the entry line, then clears
the display when you press -again. Scroll
up to clear entries in history.
Backs up one screen in applications.
JDeletes the character at the cursor.
% f Inserts a character at the cursor.
% { Clears variables x,y,z,t,a,b, and c.
% 2Resets the TI-34 MultiView™ calculator.
Returns unit to default settings; clears memory
variables, pending operations, all entries in
history, functions in applications, and statistical
data; clears stored operations (op1 or op2), and
ans.
Math Operations
d
ddisplays a menu with two submenus. Some functions require you to enter 2
values, numbers, or expressions that equal or return a number. % ` separates two
values.
MATH submenu:
lcm(n1,n2)
gcd(n1,n2)
Finds the least common multiple (lcm) or
greatest common divisor (gcd) of two values, n1
Getting Started 10
11 Getting Started
and n2, which are positive integers.
n3Calculates the cube of n.
3Ñ(nCalculates the cube root of n.
NUM submenu:
abs(n)Displays absolute value of n.
round(n,digits)Rounds nto specified number of digits.
iPart(n)
fPart(n)
Returns only the integer part (iPart) or
fractional (decimal) part (fPart) of n.
min(n1,n2)
max(n1,n2)
Returns the minimum (min) or maximum (max)
of two values, n1and n2.
remainder(n1,
n2)
Returns the remainder resulting from the
division of 2 values, n1by n2.
Examples
abs d " 1M2P
3<
round d " 2g %
`3E <
iPart,
fPart
d " 3
23.45 E <
d " 4
23.45 E <
3Ñn,n32d3<
d4
8<
remainder d " 7
10 % ` 6E
<
³Problem
Find the least common multiple of 30 and 84 using prime factorization by hand. Verify
your work using the calculator.
2V3V5<
2F V 3V7<
2F V 3V5V7<
d1
30 % ` 84 E <
The lcm (30, 84) is 420.
Memory and Stored Variables
z L % h % {
The TI-34 MultiView calculator has 7 memory variables—x,y,z,t,a,b, and c. You can
store a real number or an expression that results in a real number to a memory
variable.
Llets you store values to variables. Press Lto store a variable, and press zto
select the variable to store. Press <to store the value in the selected variable. If
this variable already has a value, that value is replaced by the new one.
zaccesses the variables. Press this key multiple times to choose x,y,z,t,a,b, or c.
You can also use zto recall the stored values for these variables. The name of the
variable is inserted into the current entry, but the value assigned to the variable is used
to evaluate the expression.
% h recalls the values of variables. Press % h to display a menu of
variables and their stored values. Select the variable you want to recall and press <.
The value assigned to the variable is inserted into the current entry and used to
evaluate the expression.
% { clears all variable values. Press % { and select 1: Yes to clear all
variable values.
Examples
Clear Var % { 1
Store 15 L z
Getting Started 12
13 Getting Started
<
Recall % h
< F <
L z z
<
z z
< W 4<
³Problem
In a gravel quarry, two new excavations have been opened. The first one measures 350
meters by 560 meters, the second one measures 340 meters by 610 meters. What
volume of gravel does the company need to extract from each excavation to reach a
depth of 150 meters? To reach 210 meters?
350 V560 L z <
340 V610 L z z <
150 V % h
< <
210 V % h < <
150 V z z <
210 V z z <
For the first excavation: The company needs to extract 29.4 million cubic meters to
reach a depth of 150 meters, and to extract 41.16 million cubic meters to reach a
depth of 210 meters.
For the second excavation: The company needs to extract 31.11 million cubic meters to
reach a depth of 150 meters, and to extract 43.554 million cubic meters to reach a
depth of 210 meters.
Getting Started 14
15 Math Functions
Math Functions
Integer Divide
% Y
% Y divides 2 positive integers and displays the quotient, q, and the remainder, r.
Only the quotient is stored to ans.
Example
Int divide 17 % Y 3<
³Problem
How many hours, minutes, and seconds are there in 17589 seconds?
17589 % Y 60 <
% i % Y 60 <
17589 seconds equals 4 hours, 53 minutes, and 9 seconds.
Fractions
P @ % O } % j
In the MathPrint™ mode, fractions with Pcan include operation keys (T,V, etc.) and
most function keys (F,_, etc.).
In Classic mode, fractions with Pdo not allow operation keys, functions, or complex
fractions in the numerator or denominator.
Note: In Classic mode and Data editor, use Wto perform complex division problems.
Calculations using fractions can display fraction or decimal results, depending on input.
Penters a simple fraction. Pressing Pbefore or after a number can result in
different behavior. Entering a number before pressing Pmakes that number the
numerator.
To enter fractions with operators, press Pbefore you enter a number (in
MathPrint mode only).
In MathPrint mode, press $between the entry of the numerator and the
denominator.
In Classic mode, press Pbetween the entry of the numerator and the
denominator.
@enters a mixed number. Press @between the entry of the unit and the
numerator, and press $between the entry of the numerator and the
denominator.
}n<simplifies a fraction by the factor nspecified The entry nmust be a
positive integer.
} < automatically simplifies a fraction using the lowest common prime
factor. The factor displays. Repeatedly press } < to simplify the fraction to
its lowest terms.
% O converts between simple fraction and mixed number form.
% j converts results between fractions and decimals.
From q, you can select
ManSimp (default) The user simplifies fractions manually step-by-step. »next to
the resulting fraction signifies that the fraction is not yet in simplest form.
AutoSimp The calculator automatically simplifies fractional results to the lowest
terms.
Examples of Classic mode
n/d, Un/d 3P4T1@7P
12 <
Simp }2<
}2<
n/d
³´Un/d
9P2% O
<
f³´d4@1P2%
j <
Math Functions 16
17 Math Functions
Examples of MathPrint mode
n/d, Un/d P3$4" T 1
@7$12 <
Simp }2<
}2<
n/d³´Un/d 9P2" O
<
f³´d4@1$2"
% j <
Examples
(MathPrint™
mode only)
P1.2 T1.3 $
4" <
(MathPrint™
mode only)
P M 5T b 5
F U 4D1E
D6E $ 2D
1E " <
Percentages
_ % N
To perform a calculation involving a percentage, enter a number and press _to
append the % sign.
To express a value as a percentage, press % N after the value.
Example
2_ V 150 <
1P5" % N <
³Problem
A mining company extracts 5000 tons of ore with a concentration of metal of 3%, and
7300 tons with a concentration of 2.3%. On the basis of these two extraction figures,
what is the total quantity of metal obtained?
If one ton of metal is worth $280, what is the total value of the metal extracted?
3_ V 5000 <
T2.3 _ V 7300 <
V280 <
The two extractions represent a total of 317.9 tons of metal for a total value of
$89,012.
x10nKey
C
Cis a shortcut key to enter a number in scientific notation format.
Example
2C5<
q $ " <
Math Functions 18
19 Math Functions
- <
Powers, Radicals, and Reciprocals
FCalculates the square of a value. The TI-34
MultiView calculator evaluates expressions
entered with Ffrom left to right in both
Classic and MathPrint™ modes. Pressing 3F
Fcalculates as (32)2= 81.
GRaises a value to the power indicated. If you
insert an expression as the exponent, you must
place it between parentheses.
In Classic mode, exponentiation using Gis
evaluated from left to right. The expression
2^3^2 is evaluated as (2^3)^2, with a result of
64.
In MathPrint™ mode, exponentiation using Gis
evaluated from right to left. The expression
2^3^2 is evaluated as 2^(3^2), with the result
of 512.
bCalculates the square root of a positive value.
% c Calculates the xth root of any positive value and
any odd integer root of a negative value.
% a Calculates the reciprocal of a value.
Examples
5F T 4GD2T1E <
10 G M 2<
b49 <
b3F T 2G4<
6% c 64 <
D2T6E % a <
Pi
g
À
3.141592653590 for calculations.
À
3.141592654 for display.
Example
À2V g <
r
Note: Classic mode displays calculations with Àas a decimal approximation.
³Problem
What is the area of a circle if the radius is 12 cm?
Reminder: A = Àr2.
g V 12 G2<
r
Math Functions 20
21 Math Functions
The area of the circle is 144 Àsquare cm. The area of the circle is approximately 452.4
square cm when rounded to one decimal place.
Angle Menu
% =
% = displays the choice of two submenus that enable you to specify the angle
unit modifier as degrees (°), minutes ('), seconds ("), radian (r), or convert units using
4DMS. You can also convert between rectangular coordinate form (R) and polar
coordinate form (P).
Choose an angle mode from the mode screen. You can choose from DEG (default) or
RAD. Entries are interpreted and results displayed according to the angle mode setting
without needing to enter an angle unit modifier.
If you specify an angle unit modifier from the Angle menu, the calculation is performed
in that angle type, but the result will be given in the angle mode setting.
Examples
RAD q " <
- % B 1
30 % = 1E
<
DEG q <
¡ ¢ £ -2g %
=4<
4DMS 1.5 % = 5
<
Convert polar coordinates (r,q)=(5,30) into rectangular coordinates. Then convert
rectangular coordinates (x,y) = (3,4) into polar coordinates. Round the results to one
decimal place.
R³´P- q $ $
""<
- % = "
3
5% ` 30 E
<
% = " 4
5% ` 30 E
<
% = " 1
3% ` 4E
<
% = " 2
3% ` 4E
<
Converting (r,q) = (5,30) gives (x,y) = (4.3,2.5) and converting
(x,y) = (3,4) gives (r,q) = (5.0,53.1).
³Problem
Two adjacent angles measure 12Ä31Å45Æand 26Ä54Å38 Ærespectively. Add the two
angles and display the result in DMS format. Round the results to two decimal places.
- q $ $ " " " <
-12 % =
1
31 % = 2
45 % = 3T26 % =
1
54 % = 2
38 % = 3<
% = 5<
Math Functions 22
23 Math Functions
The result is 39 degrees, 26 minutes and 23 seconds.
³Problem
It is known that 30Ä=À/ 6 radians. In the default mode, degrees, find the sine of 30Ä.
Then set the calculator to radian mode and calculate the sine of À/ 6 radians.
Note: Press -to clear the screen between problems.
- % B 1
30 E <
q " < -
% B 1g P 6"E <
Retain radian mode on the calculator and calculate the sine of 30¡. Change the
calculator to degree mode and find the sine of À/ 6 radians.
% B 1
30 % = < E <
q < -
% B 1g P 6"% =
4
E <
Trigonometry
% B
% B displays a menu of all supported trigonometric functions (sin, cos, tan, sin-1,
cos-1, tan-1). Select the trigonometric function from the menu and then enter the
value. Set the desired Angle mode before starting trigonometric calculations.
Example Degree mode
Tan q < $ $
<
- % B 3
45 E <
Tan-1 % B 6
1E <
Cos 5V % B 2
60 E <
Example Radian mode
Tan q " <
- % B 3
g P 4" E
<
Tan-1 % B 6
1E <
r
Cos 5V % B 2
g P 4" E
<
³Problem
Find angle A of the right triangle below. Then calculate angle B and the length of the
hypotenuse c. Lengths are in meters. Round results to one decimal place.
Reminder:
tan A =
7
3
therefore m±A = tan-1
( )
7
3
m±A + m±B + 90Ä= 180Ä
therefore m±B = 90Ä-m±A
c =
3 + 7
2 2
q < $ $ " " <
-
% B 6
7P3" E <
Math Functions 24
25 Math Functions
90 U % i <
b3F T 7F <
To one decimal place, the measure of angle A is 66.8Ä, the measure of angle B is
23.2Ä, and the length of the hypotenuse is 7.6 meters.
Logarithms and Exponential Functions
% A
% A displays two submenus containing the functions log,10^,ln, and e^. Select the
submenu, the desired log function, then enter the value and close the expression with
E <.
log yields the common logarithm of a number.
10^ raises 10 to the power you specify.
ln yields the logarithm of a number to the base of e(e
2.718281828459).
e^ raises eto the power you specify.
Examples
LOG % A 1
1E <
10^% A 2% A
1
2E <
% A 1% A
2
5" E <
LN % A " 1
5E V 2<
e^% A " 2
.5 <
Statistics
% t v
% t displays a menu with the following options:
1-Var Stats analyzes data from 1 data set with 1 measured variable, x.
2-Var Stats analyzes paired data from 2 data sets with 2 measured variablesx,
the independent variable, and y, the dependent variable.
StatVars displays a secondary menu of statistical variables. The StatVars menu only
appears after you have calculated 1-Var or 2-Var stats. Use $and #to locate the
desired variable, and press <to select it.
Variables Definition
nNumber of xor (x,y) data points.
Ïor ÐMean of all xor yvalues.
Sx or Sy Sample standard deviation of xor y.
Îxor ÎyPopulation standard deviation of xor y.
Σ
xor
Σ
ySum of all xor yvalues.
Σ
x2or
Σ
y2Sum of all x2or y2values.
Σ
xy Sum of (xy) for all xy pairs.
aLinear regression slope.
bLinear regression y-intercept.
rCorrelation coefficient.
x' (2-Var) Uses aand bto calculate predicted xvalue
when you input a yvalue.
y' (2-Var) Uses aand bto calculate predicted yvalue
when you input an xvalue.
To define statistical data points:
1. Enter data in L1, L2, or L3. (See Data Editor and List Conversions.)
2. Press % t. Select 1-Var or 2-Var and press <.
3. Select L1, L2, or L3, and the frequency.
4. Press <to display the menu of variables.
5. To clear data, press v v, select a list to clear, and press <.
Math Functions 26
27 Math Functions
Examples
1-Var: Find the mean of {45,55,55,55}
Clear all
data
v v $ $ $
Data <45 $55 $55
$55 <
Stat % t
1$ $
<
Stat Var % s % t 3
2<
V2<
2-Var: Data: (45,30), (55,25); Find: x '(45)
Clear all
data
v v $ $
$
Data <45 $55 $
"30 $25 $
Stat % t
(Your screen may
not show
3:StatVars if you
did not previously
perform a
calculation.)
2$ $
<
% s %
t3# #
<45 E <
³Problem
For her last four exams, Ada earned the following scores.
Test No. 1 2 3 4
Score 73 94 85 78
1. Find Ada’s average grade on the four exams.
2. Ada found an error in the two of her test scores. Test 2 was changed to 88 and Test
4 was changed to 84. Find Ada's new average grade of the four exams.
3. What do you notice about Ada's average grades before the point change and after
the point change?
Clear all
data
vv4
Math Functions 28
29 Math Functions
Data 73 $94 $85 $
78 $
% t
1$$<
The average grade
is 82.5.
v $ 88 $$84
$
% t 1
$$<
The new average
grade is 82.5.
Ada's average did not change. It remained 82.5 after the grade corrections.
The reason the average did not change is that Test 2 had a decrease of 6 points while
Test 4 had an increase of 6 points. Overall, the total points for all four tests remained
the same (330 points).
³Problem
The table below gives the results of a braking test.
Test No. 1 2 3 4
Speed (kph) 33 49 65 79
Distance (m) 5.30 14.45 20.21 38.45
Using the relationship between these data points, estimate the stopping distance
required for a vehicle traveling at 55 kph.
A hand-drawn scatter plot of these data points suggest a linear relationship. The TI-34
MultiView calculator uses the least squares method to find the line of best fit,
y'=ax'+b, for data entered in lists.
vv4
33 $49 $65 $79 $ " 5.3
$14.45 $20.21 $38.45 $
% t
2$ $
<
Press $to view aand b.
This line of best fit, y'=0.6773251896x'-18.66637321 models the linear trend of the
data.
% s % t 3#
<55 E <
The linear model gives an estimated braking distance of 18.59 meters for a vehicle
traveling at 55 kph.
Probability
H
This key displays two menus: PRB and RAND.
Math Functions 30
33

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