# Texas Instruments TI-82 Stats FR Manual

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JamesBittner |
11:44pm on Tuesday, August 3rd, 2010 |

No problems, works great Very good price, received very quickly, and it works great. No problems at all. Good but no longer supported by TI Texas Instruments no longer makes or supports this calculator, the bottom line being TI-83 Plus. | |

boneman187 |
5:43am on Monday, June 7th, 2010 |

No problems, works great Very good price, received very quickly, and it works great. No problems at all. Good but no longer supported by TI Texas Instruments no longer makes or supports this calculator, the bottom line being TI-83 Plus. |

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### Documents

#### Getting Started

with the

#### TI-82 STATS

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 calculator. Moreover, Texas Instruments shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party.

US FCC Information Concerning Radio Frequency Interference

This equipment has been tested and found to comply with the limits for a Class B digital device, pursuant to Part 15 of the FCC rules. These limits are designed to provide reasonable protection against harmful interference in a residential installation. This equipment generates, uses, and can radiate radio frequency energy and, if not installed and used in accordance with the instructions, may cause harmful interference with radio communications. However, there is no guarantee that interference will not occur in a particular installation. If this equipment does cause harmful interference to radio or television reception, which can be determined by turning the equipment off and on, you can try to correct the interference by one or more of the following measures: Reorient or relocate the receiving antenna. Increase the separation between the equipment and receiver. Connect the equipment into an outlet on a circuit different from that to which the receiver is connected. Consult the dealer or an experienced radio/television technician for help.

Caution: Any changes or modifications to this equipment not expressly approved by Texas Instruments may void your authority to operate the equipment.

2003 Texas Instruments Incorporated

#### Contents

About the TI-82 STATS...1 About this book...2 TI-82 STATS keys...3 Turning the TI-82 STATS on and off..4 Home screen...5 y and keys...7 and y 5...8 Entering an expression..9 TI-82 STATS menus..10 Editing and deleting...13 Using and ....15 Using parentheses...17 Storing a value...19 Graphing a function...21 Changing mode settings...23 Setting the graphing window..26 Using q...28 Building a table....29 Using the CATALOG...31 Performing simple calculations..32 Using the equation solver..35 Entering data into lists...37 Plotting data...39 iii

Calculating a linear regression...43 Calculating statistical variables..44 Using the MATRIX Editor..45 Error messages...49 Resetting defaults...50 Connecting to a computer...51 Quick reference....51 Texas Instruments (TI) Support and Service..53 Battery precautions...54

#### About the TI-82 STATS

The TI-82 STATS includes these features: Graphing - store, graph, and analyze up to 10 functions, up to 6 parametric functions, up to 6 polar functions, and up to three sequences. Sequences - generate sequences and graph them over time. Tables - create function evaluation tables to analyze many functions simultaneously. Matrices - enter and save up to 10 matrices and perform standard matrix operations on them. Lists - enter and save as many lists as memory allows for use in statistical analyses. Statistics - perform one- and two-variable, list-based statistical analyses, including logistic and sine regression analysis; plot the data as a histogram, xyLine, scatter plot, modified or regular box-and-whisker plot, or normal probability plot.

The CD included with your TI-82 STATS package also includes an electronic guidebook, which is a complete reference manual for the TI-82 STATS. If the CD is not available, you can download a copy of the electronic guidebook from the Texas Instruments web page at education.ti.com/guides

#### About this book

This Getting Started Guide was designed for: students who are using a graphing calculator for the first time. student who are using the TI-82 STATS for the first time. students who need a quick review of procedures for common operations on the TI-82 STATS.

This book gives a quick overview of each topic, along with keystroke instructions for easy examples. All examples assume that the TI-82 STATS is using default settings. For complete information on any topic, see the electronic guidebook on the CD that came with your TI-82 STATS. symbol at the top of the page in this guide. Look for the These notes direct you to the chapter in the Guidebook that provides complete details about the topic.

#### TI-82 STATS keys

y Provides access to the function or character shown above each key in green. Provides access to the characters shown above each key in orange.

}~| Let you move the cursor in four directions.

Clears (erases) the entry line or deletes an entry and answer on the home screen. Evaluates an expression, executes an instruction, or selects a menu item.

Turns on the TI-82 STATS.

Turning the TI-82 STATS on and off

To turn on the TI-82 STATS, press. The key is located at the lower left corner of the TI-82 STATS.

For more details, see Guidebook Chapter 1.

To turn off the TI-82 STATS, press the y key followed by the key. OFF is the second function of. When you turn off the TI-82 STATS, all settings and memory contents are retained. The next time you turn on the TI-82 STATS, the home screen displays as it was when you last used it.

#### Automatic Power Down

To prolong the life of the batteries, Automatic Power Down (APD) turns off the TI-82 STATS automatically after about five minutes without any activity. The next time you turn on the calculator, it is exactly as you left it.

#### Home screen

When you turn on your TI-82 STATS the first time, you should see this screen:

If you cannot read the text on the screen, press the y key and then press and hold or }. Pressing lightens the screen and } darkens the screen. To clear this text from your screen, press twice. You should now see the home screen, a blank screen with a flashing cursor. The home screen is where you enter problems and see results.

If you pressed above and you still do not see a blank home screen, press the y key followed by the z key (to select QUIT).

#### Home screen (continued)

Example:

Add 2 + 3 on the home screen.

#### Press Result

Entry line Answer line

Note: Results are displayed on the next line (the answer line), not on the entry line.

#### Example: Multiply 5 x 4.

y and keys

Most keys on the TI-82 STATS can perform two or more functions. To use a function printed on a key, press the key. To use a function printed above a key in green or orange, you must first press the y key or the key.

Second functions are printed above the keys in green (the same color as the y key). Some secondary functions enter a function or a symbol on the home screen (sin-1 or , for example). Others display menus or editors. To view the ANGLE menu, for example, look for ANGLE (printed in green) above the key near the top of the TI-82 STATS keyboard. Press the y key (and then release it) and then press. In this book and in the TI-82 STATS Guidebook, this key combination is indicated by y ;, not y. When you see these key combinations, press each key separately, not at the same time.

Note: The flashing cursor changes to when you press the y key. If you press the y key accidentally, you can undo the action by pressing y a second time.

The key lets you enter the alphabetic characters and some special symbols. To enter T, for example, press (and then release it) and then press. In this book and in the TI-82 STATS Guidebook, this key combination is indicated by [ T ]. If you have several alphabetic characters to enter, press y 7 to avoid having to press the key multiple times. This locks the alpha key in the On position until you press a second time to unlock it.

Note: The flashing cursor changes to when you press the key. If you press the key accidentally, you can undo the action by pressing a second time.

#### and y 5

The key erases the home screen. This key is located just below the four blue arrow keys at the upper right corner of the TI-82 STATS keyboard. If you press during an entry, it clears the entry line. If you press when the cursor is on a blank line, it clears everything on the home screen. Although it does not affect the calculation, it is frequently helpful to clear the previous work from the home screen before you begin a new problem. As you work through this guide, we recommend that you press each time you begin a new Example. This removes the previous example from the home screen and ensures that the screen you see matches the one shown in the example.

If you accidentally press a menu key, pressing will sometimes return you to the home screen, but in most cases you must press y 5 to leave the menu and return to the home screen.

#### Entering an expression

An expression consists of numbers, variables, operators, functions, and their arguments that evaluate to a single answer. 2X + 2 is an expression. Type the expression, and then press to evaluate it. To enter a function or instruction on the entry line, you can: Press its key, if available. For example, press. or Select it from the CATALOG. For example, press y N, press to move down to log(, and press to select log(. or Select it from a menu, if available. For example, to find the round function, press , press ~ to select NUM, then select 2:round(. Enter and evaluate the expression p Q 2.

#### TI-82 STATS menus

Many functions and instructions are entered on the home screen by selecting from a menu. To select an item from the displayed menu:

Press the number or letter shown at the left of that item. or Use the cursor arrow keys, or }, to highlight the item, and then press.

Some menus close automatically when you make a selection, but if the menu remains open, press y 5 to exit. Do not press to exit, since this will sometimes delete your selection. Example: Enter

27 on the home screen entry line.

#### Result

Menus containing an arrow next to the final item continue on a second page.

TI-82 STATS menus (continued)

Example: Change the FORMAT menu setting to display grid points on the graph.

Turn off the display of grid points.

Note: Press y 5 or to close the FORMAT menu and return to the home screen. 11

Summary of menus on the TI-82 STATS

#### Press To display

LINK menu to communicate with another calculator. MEMORY menu to check available memory and manage existing memory. MATH menu to select a math operation. VARS menu to select variable names to paste to the home screen. STAT PLOTS menu to define statistical plots. CATALOG menu to select from a complete, alphabetic list of all TI-82 STATS built-in functions and instructions. FORMAT menu to define a graphs appearance. MATRIX menu to define, view, and edit matrices. DRAW menu to select tools for drawing on graphs. DISTRIBUTIONS menu to select distribution functions to paste to the home screen or editor screens. TEST menu to select relational operators (=, , {, |, etc.) and Boolean operators (and, or, xor, not) to paste to the home screen.

#### y. y>

Editing and deleting

You can change any expression or entry using the backspace | key, the delete { key, or the insert y 6 key. You can make a change before or after you press. Enter the expression 52 + 1, and then change the expression to 52 + 5.

Enter the expression 52 + 1, and then change the expression to 52 - 5.

Editing and deleting (continued)

Change the example above to 52 + 2 - 5 using y [ to recall the expression and y 6 to insert + 2 into the expression.

#### Using and

Many calculators (including the TI-82 STATS) make a distinction between the symbols for subtraction and negation. Use to enter subtraction operations. Use to enter a negative number in an operation, in an expression, or on a setup screen.

#### Subtract 10 from 25.

Add 10 to L25.

#### Using and (continued)

Example: Subtract L10 from 25.

Note: Notice that the TI-82 STATS displays a slightly different symbol for negation and subtraction to make it easier for you to distinguish between the two. The negative symbol is raised and slightly shorter.

#### Using parentheses

Since all calculations inside parentheses are completed first, it is sometimes important to place a portion of an expression inside parentheses.

For more details, see Guidebook Chapter 3.

Multiply 4*1+2; then multiply 4*(1+2).

Note: The closing parenthesis is optional. The operation will be completed if you omit it. The exception to this rule occurs when there is another operation following the parenthetical operation. In this case, you must include the closing parenthesis.

Using parentheses (continued)

Example: Divide 1/2 by 2/3.

#### Calculate 16 ^ 2.

Calculate (L3)2.

Note: Try each of these examples without the parentheses and see what happens!

#### Storing a value

Values are stored to and recalled from memory using variable names.

Store 25 to variable A and multiply A by 2.

#### 2 [A]

[A] 2

Storing a value (continued)

Example: Find the value of 2X3 - 5X2 - 7X + 10 when X = M0.5.

#### (stores L.5 to X)

You can remove a value stored to a variable using the DELVAR function or by storing 0 to the variable. Example: Delete the value (L.5) stored to X above by storing 0.

#### Graphing a function

o Displays the Y= Editor, where you can enter one or more functions or expressions to graph.

s Displays the graph you have defined.

p Lets you set the viewing window to produce the best display of your graph.

Lets you enter one of four symbols: X (if you are in Function mode), T (in Parametric mode), q (in Polar mode), or n (in Sequence mode).

q Lets you quickly adjust the window to a predefined setting.

r Lets you move the cursor along the graphed function using | and ~.

Graphing a function (continued)

To graph a function, you must: 1. Display the Y= Editor. 2. Enter the function. 3. Display the graph.

Note: If you previously changed graph type in the mode settings, you must change the type back to Func (the default setting) before you graph.

Example: Graph the function Y = X 2 + 1.

If Y1 is not blank, see Note.

Note: If Y1 is not empty, press. If there are additional entries in the Y= Editor, press until all are clear.

#### Changing mode settings

The mode settings determine how entries are interpreted and how answers are displayed on the TI-82 STATS. Example:

Change the mode setting for decimals from Float to 3 decimal places.

#### 123456

Note: You must press to change a mode setting. If you highlight the setting and then exit the mode menu without pressing , the setting will not be changed.

Changing mode settings (continued)

The mode menu includes the following settings:

Setting Numeric notation Choices

Normal: for example, 12345.67 Sci (scientific): for example, 1.2345674 Eng (engineering): for example, 12.345673 Float: lets the number of decimal places change

based on the result (up to 10 digits)

#### Decimal

0 - 9: sets the number of decimal places to a

value (0 - 9) that you specify Angle measure Type of graph

Radian: interprets angle values as radians Degree: interprets angle values as degrees Func (functional): plots functions, where Y is a

#### function of X

Par (parametric): plots relations, where X and Y

#### are functions of T

Pol (polar): plots functions, where r is a function

Seq (sequence): plots sequences

#### Plot type

Connected: draws a line connecting each point

calculated for the selected functions

Dot: plots only the calculated points of the

selected functions Sequential or simultaneous graphing Real or complex mode Screen display

Sequential: draws graphs one at a time Simul (simultaneous): draws all selected graphs at

#### the same time

Real: displays real numbers, such as 1, 1/2, 3 a+b (rectangular complex): displays as 3+2 re^q (polar complex): displays as re^q Full: displays full screen Horiz: displays a horizontal split screen G-T: displays a vertical split screen (graph & table)

The importance of mode settings

Example: Multiply 2/3 Q 2.

Your first reaction to this example is that the calculator has produced a wrong answer. But you have set it to round to 0 decimal places (the nearest whole number), so for this setting the answer is correct. If you set rounding (decimals displayed) to 0 and then forget to reset it for later calculations, you may be surprised by some of your answers! With mode set to the default setting of Float, the result will be:

Setting the graphing window

To obtain the best view of the graph, you may need to change the boundaries of the window. To display the WINDOW Editor, press p.

#### Ymax Xmin Xscl

Xmax Ymin Yscl

Window variables (shown in WINDOW Editor)

Corresponding viewing window (shown on Graph window)

The Xmin, Xmax, Ymin, and Ymax variables represent the boundaries of the viewing window. Xmin: the minimum value of X to be displayed. Xmax: the maximum value of X to be displayed. Ymin: the minimum value of Y to be displayed. Ymax: the maximum value of Y to be displayed. Xscl (X scale): the distance between the tick marks on the X axis. Yscl (Y scale): the distance between the tick marks on the Y axis. Xres: pixel resolutionnot usually changed except by advanced users. To change the values: 1. Move the cursor to highlight the value you want to change. 2. Do one of the following: Type a value or an expression. The old value is erased when you begin typing. or Press to clear the old value; then type the new one. 3. Press , , or }. 26

Setting the graphing window (continued)

Note: Values are stored as you type them; you do not need to press. Pressing simply moves the cursor to the next window variable.

4. After you have made all changes, press y 5 to close the WINDOW Editor (or s to display the graph). Example: Change the window settings to display a maximum X value of 25, a minimum X value of L25, a maximum Y value of 50, and a minimum Y value of L50.

#### 2525 5050

Using q

The TI-82 STATS has ten predefined window settings that let you quickly adjust the graph window to a predetermined level of magnification. To display this menu, press q.

Selection 1: ZBox Result Lets you draw a box (using the cursor pad) to define the viewing window. After you position the cursor and press , magnifies the graph around the cursor. After you position the cursor and press , displays more of the graph. Sets the change in X and Y to increments of.1 when you use r. Adjusts the viewing window so that X and Y dimensions are equal. Sets the standard (default) window variables. Sets the built-in trigonometry window variables. After you position the cursor and press , sets the change in X and Y to whole number increments. Sets the values for currently defined statistical lists. Fits Ymin and Ymax between Xmin and Xmax.

#### 2: Zoom In

3: Zoom Out

#### 4: ZDecimal

5: ZSquare

#### 6: ZStandard 7: ZTrig

8: ZInteger

#### 9: ZoomStat

0: ZoomFit

#### Building a table

Tables are useful tools for comparing values for a function at multiple points.

For more details, see Guidebook Chapter 7.

Build a table to evaluate the function Y = X3 N 2X at each integer between L10 and 10.

(sets function graphing mode)

Building a table (continued)

(sets TblStart; default settings shown for the other fields are appropriate)

Note: Press repeatedly to see the changes in X and Y.

#### Clearing the Y= Editor

Before proceeding with the remaining examples in this guide, clear the Y= Editor.

#### Using the CATALOG

The CATALOG is an alphabetic list of all functions and instructions on the TI-82 STATS. Some of these items are also available on keys and menus. To select from the CATALOG: 1. Position the cursor where you want to insert the item. 2. Press y N. 3. Press or } to move the 4 indicator to the function or instruction. (You can move quickly down the list by typing the first letter of the item you need. You do not need to press. The CATALOG defaults to Alpha-lock mode.) 4. Press. Your selection is pasted on the home screen.

For more details, see Guidebook Chapter 15.

Notes: Items are listed in alphabetical order. Those that do not start with a letter (+, , , p, and so on) are at the end of the list. You can also paste from the CATALOG to an editor, such as the Y= Editor.

Example: Enter the rand function on the home screen.

#### y N [R]

The indicates that Alpha-lock is on.

Performing simple calculations

Changing a decimal to a fraction

Example: Add 1/2 + 1/4 and change your answer to a fraction.

Note: You can perform an operation using the last answer without entering the value again. When you do this, (as you did in the step 2 above), the TI-82 STATS enters Ans on the screen.

Finding the least common multiple

Example: Find the least common multiple of 15 and 24.

Performing simple calculations (continued)

#### Finding the square root

Example: Find the square root of 256.

#### yC256

Finding the factorial of numbers

Example: Compute the factorial of 5 and 30.

#### 30~~~4

Scientific notation

Solving trigonometric functions

Example: Find the sine of an angle of 72.

#### 72 y;

Note: If you are solving multiple problems using angles, be sure that mode is set to Degree. If you are in Radian mode and do not wish to change the mode, you can use y ; (as you did in this example) to add the degree symbol to the calculation and override the Radian mode setting.

#### Adding Complex Numbers

Example: Add (3+5) + (2-3).

#### 35yV 23yV

Note: The character is the second function of (the decimal key).

Using the equation solver

You can use the TI-82 STATS equation solver to solve for a variable in an equation. Find the roots for the equation X2 - 13X - 48 = 0.

Note: If you do not see eqn:0= as shown above, press } (the up arrow), and then press to erase the existing equation.

Using the equation solver (continued)

The two roots are M3 and 16. Since you did not enter a guess, the TI-82 STATS used 0 (the default guess) and first returned the answer nearest 0. To find other roots, you must enter another guess. In this example, you entered 100.

#### Entering data into lists

You can enter data into lists using either of two methods: Using braces and on the home screen or Using the statistical list editor.

For more details, see Guidebook Chapter 11 and Chapter 12.

#### Using

Example: Store 1, 2, 3, and 4 to list 1 (L1).

Entering data into lists (continued)

Using the statistical list editor

Example: Store 5, 6, 7, and 8 to list 2 (L2).

(if L2 already contains data)

(displays the contents of the list on the home screen)

#### Plotting data

When you have statistical data stored in lists, you can display the data you have collected in a scatter plot, xyLine, histogram, box plot, or normal probability plot. You will need to: 1. Determine which lists contain your data. 2. Tell the calculator which lists of data you want to plot and define the plot. 3. Display the plot.

For more details, see Guidebook Chapter 12.

Determine which lists contain your data

Note: In some cases, you may have several lists stored and you may have to press ~ several times to find the correct lists.

Plotting data (continued)

Tell the calculator which lists you want to plot

(turns plots off if any plots are on)

#### (turns Plot1 on)

(enters L1 as the Xlist)

#### (enters L2 as the Ylist)

(selects + as the plotting mark)

Note: This step is optional and is not necessary unless there is a previous entry in the Y= Editor. If there are additional entries in the Y= Editor, press until all are clear.

#### Display the plot

(selects ZoomStat)

Note: If you would like to add the regression line to a scatter plot, follow the instructions on page 43, adding Y1 to the end of the instruction: LinReg(ax+b) L1, L2, Y1. (Press ~ to add Y1.) Press s to see the regression line.

Calculating a linear regression

If you wish to calculate the linear regression for data, you can do so using the LinReg instruction from the CALC menu. Example: Calculate the linear regression for the data entered in L1 and L2 (on pages 37 and 38).

Note: The information on the last screen means that the points in L1 and L2 [(1,5) (2,6) (3,7) (4,8)] all lie on the line Y = X + 4.

Calculating statistical variables

The TI-82 STATS lets you easily calculate one-variable or twovariable statistics for data that you have entered into lists.

Using the data that you entered into L1 on page 37, calculate one-variable statistics.

#### Using the MATRIX Editor

Creating a new matrix

For more details, see Guidebook Chapter 10.

Note: When you press , the cursor automatically highlights the next cell so that you can continue entering or editing values. To enter a new value, you can start typing without pressing , but you must press to edit an existing value.

Using the MATRIX Editor (continued)

Using matrices to solve systems of equations

You can solve several equations simultaneously by entering their coefficients into a matrix and then using the rref (reduced rowechelon form) function. For example, in the equations below, enter 3, 3, and 24 (for 3X, 3Y, and 24) in the first row, and 2, 1, 13 (for 2X, 1Y, and 13) in the second row.

#### Solve and

3X + 3Y = 24 2X + Y = 13

You can interpret the resulting matrix as: [5] represents 1X + 0Y = 5 or X = 5 [3] represents 0X + 1Y = 3 or Y = 3 The solution to this system of equations is X = 5, Y = 3.

#### Error messages

Occasionally, when you enter a function or instruction or attempt to display a graph, the TI-82 STATS will return an error message.

For more details, see Guidebook Appendix B.

Enter the least common multiple function lcm( followed by only one number.

If you select 1:Quit, you return to the home screen with the cursor on a new entry line. If you select 2:Goto, you return to the original entry line; the cursor is flashing at the location of the error. You can now correct the error and continue. You can find a complete list of error conditions with explanations in the Guidebook, Appendix B: General Information.

#### Resetting defaults

If you are getting unexpected results, or if another person has used your calculator and may have changed the settings, you should consider resetting defaults on the TI-82 STATS.

For more details, see Guidebook Chapter 18.

#### WARNING:

If you reset All Memory in step 3 above, you will delete stored variables, lists, applications, and programs. Be sure you have backed up any essential data before you select this option.

#### Connecting to a computer

You can connect your TI-82 STATS to a personal computer using TI Connect software and a TI Connectivity cable. The software is included on the CD in the TI-82 STATS package. When you connect to the TI Connect software, the TI-82 STATS calculator will be identified by TI Connect as a TI-83 calculator. Everything else should function as expected. For more information, consult the TI Connect Help.

#### Quick reference

Press y} y y~ y|

Darken the screen Lighten the screen Move the cursor to the end of an expression Move the cursor to the beginning of an expression Page down to the next screen (on menus) Page up to the next screen (on menus) Place your last entry on the current entry line on the home screen Place Ans (a reference to your last answer) on the current entry line on the home screen, allowing you to use the answer in the next calculation Delete the character under the cursor Insert additional characters at the cursor Move the cursor from line to line Move the cursor from character to character within a line Clear the current line. (If the cursor is on a blank line, clears everything on the home screen.)

#### { y6 } ~|

Texas Instruments (TI) Support and Service

#### For general information

For more information about TI products and services, contact TI by e-mail or visit the TI Internet address. E-mail inquiries: Home Page: ticares@ti.com education.ti.com

Service and warranty information

For information about the length and terms of the warranty or about product service, refer to the warranty statement enclosed with this product or contact your local Texas Instruments retailer/distributor.

#### Battery precautions

Take these precautions when replacing batteries. Do not leave batteries within the reach of children. Do not mix new and used batteries. Do not mix brands (or types within brands) of batteries. Do not mix rechargeable and non-rechargeable batteries. Install batteries according to polarity (+ and - ) diagrams. Do not place non-rechargeable batteries in a battery recharger. Properly dispose of used batteries immediately. Do not incinerate or dismantle batteries.

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