using the ti-83/84 graphing calculator · using the ti-83/84 graphing calculator determining mean,...

10
Technical Skills Guide Copyright © 2011 by Nelson Education Ltd. USING THE TI-83/84 GRAPHING CALCULATOR Entering Data To run statistical functions on data, you need to enter it in a list. For example, enter the following data in list L 1 : Unit 1 Test 81 76 73 71 64 80 75 73 71 63 79 75 73 68 61 79 74 73 67 58 78 73 72 66 57 1. Clear lists. Make sure the lists you are using are empty by pressing 2nd 1 4 ENTER . 2. Enter data. Use arrow keys to select the list you would like to edit (L 1 in this case). You can input data using number keys followed by the ENTER key. The data will be stored until it is cleared. 3. Correct errors. Using the arrow keys, place the cursor on top of the number you want to change and enter the correct number. The DEL key can also be used to eliminate an entry and move all the following entries back to fill in the gap. To add an entry and move the existing entries down, press 2nd DEL and key in the new entry. Other pages for this topic: TI-Nspire Spreadsheet Fathom Back to TI-83/84 menu Back to Topics menu

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Page 1: USING THE TI-83/84 GRAPHING CALCULATOR · USING THE TI-83/84 GRAPHING CALCULATOR Determining Mean, Median, Mode, Range, and Standard Deviation Use the following data: Unit 1 Test

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

USING THE TI-83/84 GRAPHING CALCULATOREntering DataTo run statistical functions on data, you need to enter it in a list. For example, enter the following data in list L1:

Unit 1 Test

81 76 73 71 64

80 75 73 71 63

79 75 73 68 61

79 74 73 67 58

78 73 72 66 57

1. Clear lists.

Make sure the lists you are using are empty

by pressing

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

2. Enter data.

Use arrow keys to select the list you would like to edit (L1 in this case).

You can input data using number keys followed by the

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

key.

The data will be stored until it is cleared.

3. Correct errors.

Using the arrow keys, place the cursor on top of the number you want to

change and enter the correct number.

The

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

key can also be used to eliminate an entry and move all the

following entries back to fill in the gap.

To add an entry and move the existing entries down, press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

and key in the new entry.

Other pages for this topic:

TI-Nspire Spreadsheet Fathom

Back to TI-83/84 menu

Back to Topics menu

Page 2: USING THE TI-83/84 GRAPHING CALCULATOR · USING THE TI-83/84 GRAPHING CALCULATOR Determining Mean, Median, Mode, Range, and Standard Deviation Use the following data: Unit 1 Test

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

USING THE TI-83/84 GRAPHING CALCULATORDetermining Mean, Median, Mode, Range, and Standard DeviationUse the following data:

Unit 1 Test

81 76 73 71 64

80 75 73 71 63

79 75 73 68 61

79 74 73 67 58

78 73 72 66 57

1. Determine the mean and standard deviation of the data.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

and scroll over to “CALC”. Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

or

Y= WINDOW ZOOM

2ND MODE DEL

ALPHA X, T, U, n STAT

MATH MATRIX PRGM

X–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalX2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2 3

0 . (2)

4

3

2

1

^

to

select 1-Var Stats, then press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

again to calculate single-variable

statistics for L1.

(To select a different list, e.g., L3, press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

after

selecting 1-Var Stats.)

The line “ x_�71.2” gives the mean for the data.

The line “�x�6.548...” gives the standard deviation for the data.

2. Determine the median and range of the data.

Use the

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

key to scroll down through the rest of the single-variable statistics.

The line “Med�73” gives the median for the data.

The lines “minX�57” and “maxX�81” give the minimum and maximum values for the data. The range is the difference of these two values. In this case, the range is 81 2 57 5 24.

3. Determine the mode of the data.

To determine the mode, it is helpful to sort the data.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2ND MODE DEL

ALPHA X, T, U, n STAT

MATH MATRIX PRGM

X–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalX2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2 3

0 . (2)

4

3

2

1

^

to sort list L1 in ascending order.

Then press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to display the data in L1.

Use the

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

and

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

keys to scroll through the list.

Determine the mode by locating the value(s) that occur most frequently.

In this case, the mode is 73.

Other pages for this topic:

TI-Nspire Spreadsheet Fathom

Back to TI-83/84 menu

Back to Topics menu

Page 3: USING THE TI-83/84 GRAPHING CALCULATOR · USING THE TI-83/84 GRAPHING CALCULATOR Determining Mean, Median, Mode, Range, and Standard Deviation Use the following data: Unit 1 Test

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

USING THE TI-83/84 GRAPHING CALCULATORCreating a HistogramUse the following data:

Unit 1 Test

81 76 73 71 64

80 75 73 71 63

79 75 73 68 61

79 74 73 67 58

78 73 72 66 57

Once data has been entered into L1, a histogram can be displayed using the STAT PLOT command.

1. Select Plot 1.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to access the “STAT PLOTS” menu.

Select the first plot by pressing

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

or by using the arrow keys

and pressing

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

2. Enable Plot 1.

Select On using the cursor and press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

Using the arrow keys, select the histogram icon and press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

Make sure the “Xlist” is L1.

3. Display the graph.

Adjust the display settings by pressing Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

and set the display to

9: ZoomStat by pressing

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

. The graph will automatically appear on the

screen with the optimal display settings.

Other pages for this topic:

TI-Nspire Spreadsheet Fathom

Back to TI-83/84 menu

Back to Topics menu

Page 4: USING THE TI-83/84 GRAPHING CALCULATOR · USING THE TI-83/84 GRAPHING CALCULATOR Determining Mean, Median, Mode, Range, and Standard Deviation Use the following data: Unit 1 Test

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

USING THE TI-83/84 GRAPHING CALCULATORUsing the normalcdf CommandTo determine the proportion of data between 161 cm and 197 cm on a normal distribution of heights of students with mean 177 cm and standard deviation 15 cm, use the normalcdf command.

1. Select the normalcdf command.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to select 2:normalcdf( from the DISTR menu.

2. Enter the argument.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

The proportion of data between 161 cm and 197 cm is displayed as a decimal.

3. Use the normalcdf command with a standard normal distribution.

If the data points are z-scores, so that you are using a standard normal

distribution with mean 0 and standard deviation 1, you can omit the mean

and standard deviation from the argument and just enter the z-scores.

For example, to determine the area under the standard normal curve

between z-scores of �0.87 and �1.35,

press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to select 2:normalcdf(

and then

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

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Page 5: USING THE TI-83/84 GRAPHING CALCULATOR · USING THE TI-83/84 GRAPHING CALCULATOR Determining Mean, Median, Mode, Range, and Standard Deviation Use the following data: Unit 1 Test

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

USING THE TI-83/84 GRAPHING CALCULATORUsing the invNorm CommandA brand of running shoes lose their shock absorption after a mean distance of 640 km, with a standard deviation of 160 km. Zack plans to replace his shoes when there is only a 25% chance that they have lost their shock absorption. At what distance should Zack replace his shoes?

1. Select the invNorm command.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to select 3:invNorm( from the DISTR menu.

2. Enter the argument.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

. The appropriate distance is

displayed.

3. Use the invNorm command with a standard normal distribution.

For a standard normal distribution with mean 0 and standard deviation 1,

you can omit the mean and standard deviation from the argument and just

enter the area.

For example, to determine the z-score that has 72% of the data to the left

of it, press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to select 3:invNorm( and then

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

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Page 6: USING THE TI-83/84 GRAPHING CALCULATOR · USING THE TI-83/84 GRAPHING CALCULATOR Determining Mean, Median, Mode, Range, and Standard Deviation Use the following data: Unit 1 Test

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSGetting StartedTo begin a new document, you should always do the following:

1. Select a new document.

• Press and scroll to 6: New Document.

• Press .

2. Save the previous document.

If you want to save the previous document, select “Yes”

and then press .

If you do not want to save the previous document,

select “No” and then press . (You can move the cursor by

using either the key or the and keys.)

Selecting “No” closes all applications that are open in the document.

3. Select the application.

Select the application you want to use, and then press .

(You can move the cursor by using the and keys.)

Every time you add a new application, it appears as a numbered page

in your document.

To move between these applications, press and

use either the or key to scroll to the desired application.

Other pages for this topic:

Spreadsheet Fathom GSP

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Page 7: USING THE TI-83/84 GRAPHING CALCULATOR · USING THE TI-83/84 GRAPHING CALCULATOR Determining Mean, Median, Mode, Range, and Standard Deviation Use the following data: Unit 1 Test

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSEntering and Graphing a FunctionEnter the equation of the function into the Graphs and Geometry data entry line. The handheld will display the graph.

1. Select 2: Add Graphs & Geometry from the application menu.

2. Graph.

To show the scale on the graph, press and scroll to

2: View 8: Show Axes End Values, and press .

3. Enter all linear equations in the form y 5 mx 1 b.

For example, for 2x 1 3y 5 7, enter 223

x 173

in the

data entry line. Do so by pressing

.

Page 8: USING THE TI-83/84 GRAPHING CALCULATOR · USING THE TI-83/84 GRAPHING CALCULATOR Determining Mean, Median, Mode, Range, and Standard Deviation Use the following data: Unit 1 Test

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

4. Press to view the graph.

To move the cursor from the data entry line to the graph,

press twice.

5. To determine the coordinates of any point on the graph,

press .

Scroll to 5: Trace 1: Graph Trace, and press .

A point will appear on the graph.

Use the and keys to move the cursor along the graph.

Press to stop the “Trace” feature.

If you are working with several graphs at the same time, a trace point will appear on all relations that have a point in the window shown.

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Page 9: USING THE TI-83/84 GRAPHING CALCULATOR · USING THE TI-83/84 GRAPHING CALCULATOR Determining Mean, Median, Mode, Range, and Standard Deviation Use the following data: Unit 1 Test

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSEditing a Function

1. Edit the function.

To change y 5 2x2 1 x 2 3 to y 5 2x2 2 3, move the cursor

over the function label. It will change to a hand icon with

“label”next to it.

Double-click to edit the function and press .

Then press to display the modified graph.

Alternatively, do the following:

2. Return to the data entry line and edit the function.

Move the cursor to the icon at the bottom left of the screen and

click on it. The data entry line will reappear with “f2(x)�” displayed.

Click on the icon at the bottom right of the screen

and press to edit “f1(x)”.

Then press as in step 1.

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Page 10: USING THE TI-83/84 GRAPHING CALCULATOR · USING THE TI-83/84 GRAPHING CALCULATOR Determining Mean, Median, Mode, Range, and Standard Deviation Use the following data: Unit 1 Test

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

USING THE TI-Nspire CAS AND TI-Nspire HANDHELDSChanging the Window SettingsThe window settings can be changed to show a graph on a different part of the xy-axes.

1. Enter the relation y 5 x 2 2 3x 1 4 into the data entry line of the

Graphs and Geometry application.

2. Select the “Window” feature to set the boundaries of the graph. To display the relation when 22 # x # 5 and 0 # y # 14,

press , scroll to 4: Window 1: Window Settings, and

press .

Press , then ,

then , then , then ,

then , and finally .

The graph will appear as shown.

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