# Data Entry/Removal

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```					                                            TI-84 Directions

Data Entry/Removal
DATA ENTRY                             REMOVAL OPTIONS

Enter Data:                            Clear Specific List:
STAT                                   STAT                                  STAT
Option 1:Edit                          Option 4: ClrList                     Option 1: Edit
Enter variable values in a list.       2nd L4 (list desired)                 Place cursor at top on list name.
2nd QUIT                               ENTER                                 CLEAR
ENTER
Restore Lists:                         Clear All Lists:
STAT                                   2nd CATALOG
Option 5: SetUpEditor                  Scroll down to ClrAllLists
ENTER                                  ENTER
ENTER

Calculating Statistics

ONE-VARIABLE STATISTICS                                                  STATISTICS GIVEN
Statistics for L1:                 Statistics for Specific List:            Mean/Average
STAT                               STAT                                     Sum of values
CALC                               CALC                                     Sum of squared values
Option 1: 1-Var Stats              Option 1: 1-Var Stats                    Sample & Population Std.Deviations
ENTER                              2nd L4 (list desired)                    # of values
ENTER                                    5-Number Summary

Graphs

HISTOGRAM                                                      BOX & WHISKER PLOT
Step 1:                                                        Step 1:
Enter Data into L1 (or any other list)                         Enter Data into L1 (or any other list)

Step 2:                                                        Step 2:
2nd STATPLOT                                                   2nd STATPLOT
Option 1: Plot 1 (or a different Plot)                         Option 1: Plot 1 (or a different Plot)
ENTER                                                          ENTER
Highlight ON                                                   Highlight ON
ENTER                                                          ENTER
Scroll down to TYPE                                            Scroll down to TYPE
Highlight the 3rd Icon                                         Highlight the 4th or 5th Icon
ENTER                                                          ENTER
Scroll down to Xlist: Enter List name (e.g. L1)                Scroll down to Xlist: Enter List name (e.g. L1)
ZOOM                                                           ZOOM
Option 9: ZoomStat                                             Option 9: ZoomStat
ENTER                                                          ENTER
(Continue steps with L2 & Option 2: Plot 2 to
Other Options:                                                 create another box plot).
WINDOW (changes Xscl) GRAPH
TRACE (shows boundaries & frequencies)                         Other Options:
TRACE (shows 5-Number Summary)
TI-84 Directions

Number Generation and Data Simulation

RANDOM INTEGER
MATH
PRB
Option 5: randInt(
Enter (lower bound, upper bound, # trials)
ENTER

Examples:
randInt(1,10) will randomly select 1integer from 1 to 10
randInt(1,10,3) will randomly select 3 integers from 1 to 10

COIN PROBABILITY SIMULATION
Toss Coins:
APPS
Prob Sim
ENTER
Option 1: Toss Coins
WINDOW (TOSS)

Edit Options:
ZOOM (SET)
Trial Set: The number of trials to perform at once.
Coins: The number of coins to use.
Graph: Freq shows frequency, Prob shows relative frequency
StoTbl: The table can store all, the last 50, or none of the trials.
ClearTbl: Yes clears the data when you do the experiment again.
Update: The number of trials after which the graph updates.
GRAPH(TABL): Allows data to be viewed in a table instead of a graph

OTHER PROBABILITY SIMULATIONS
(The steps are similar to those above. Experiment with the calculator to get used to the programs.)

    Roll Dice
    Pick Marbles
    Spin Spinner
    Draw Cards

IMPORTANT OPTIONS
SET: This edits the experiment to your specifications.
TOSS/ROLL/PICK/SPIN/DRAW: This causes the action specified.
+1 / +10 / +50: These repeat the experiment the stated number of times.
TABL/GRPH: These are different ways to view the results.
ESC: This allows you to quit the program.
TI-84 Directions

Normal Distributions

Using Z-Scores:                                        Using Actual Values:

P(Z ≤ z)                                               P(X ≤ k)

2nd DISTR                                              2nd DISTR
Option 2: normalcdf(                                   Option 2: normalcdf(
Enter (-1000, z)                                       Enter (-1000, k, µ, σ)
Enter                                                  Enter

P(Z ≥ z)                                               P(X ≥ k)

2nd DISTR                                              2nd DISTR
Option 2: normalcdf(                                   Option 2: normalcdf(
Enter (z, 1000)                                        Enter (k, 1000, µ, σ)
Enter                                                  Enter

P(z1 ≤ Z ≤ z2)                                         P(a ≤ X ≤ b)
2nd DISTR                                              2nd DISTR
Option 2: normalcdf(                                   Option 2: normalcdf(
Enter (z1, z2)                                         Enter (a, b, µ, σ)
Enter                                                  Enter

P(Z ≤ z) = probability                                 P(X ≤ k) = probability
z = 2nd DISTR                                          k = 2nd DISTR
Option 3: invnorm(                                     Option 3: invnorm(
Enter (probability)                                    Enter (probability, µ, σ)
Enter                                                  Enter

P(Z ≥ z) = probability                                 P(X ≥ k) = probability
z = 2nd DISTR                                          k = 2nd DISTR
Option 3: invnorm(                                     Option 3: invnorm(
Enter (1- probability)                                 Enter (1- probability, µ, σ)
Enter                                                  Enter
Note: Z is the standardized random variable and z is
the observed numerical value standardized.
TI-84 Directions

Confidence Intervals for Proportions

PROPORTIONS
One Proportion:                                Difference Between Two Proportions:
STAT                                           STAT
TESTS                                          TESTS
Option A: 1-PropZInterval                      Option B: 2-PropZInterval
Enter appropriate information:                 Enter appropriate information:
x = # with desired characteristic             x1 = # with desired characteristic in group 1
n = total # sampled                           n1 = total # sampled in group 1
Highlight Calculate                             x2 = # with desired characteristic in group 2
ENTER                                           n2 = total # sampled in group 2
Highlight Calculate
ENTER

Confidence Intervals for Means

MEANS (σ UNKNOWN)
One Mean & Paired Data:                        Difference Between Two Means:
STAT                                           STAT
TESTS                                          TESTS
Option 8: TInterval                            Option 0: 2-SampTInt
Select Data (Data is in a List) or             Select Data or Stats
Stats (Statistics are already calculated)     ENTER
ENTER                                          Enter appropriate information for group 1 &
Enter appropriate information                    group 2
Highlight Calculate                            Highlight NO for Unpooled or YES for Pooled
ENTER                                          ENTER
Highlight Calculate
ENTER
TI-84 Directions

Hypothesis Tests for Proportions
PROPORTIONS
One Proportion:                                Difference Between Two Proportions:
STAT                                           STAT
TESTS                                          TESTS
Option 5: 1-PropZTest                          Option 6: 2-PropZTest
Enter appropriate information:                 Enter appropriate information:
po= null hypothesis value                     x1 = # with desired characteristic in group 1
x = # with desired characteristic             n1 = total # sampled in group 1
n = total # sampled                           x2 = # with desired characteristic in group 2
Highlight appropriate alt. hyp. symbol          n2 = total # sampled in group 2
ENTER                                          Highlight appropriate alt. hyp. symbol
Highlight Calculate                            ENTER
ENTER                                          Highlight Calculate
ENTER

Hypothesis Tests for Means

MEANS (σ UNKNOWN)
One Mean & Paired Data:                       Difference Between Two Means:
STAT                                          STAT
TESTS                                         TESTS
Option 2: TTest                               Option 4: 2-SampTTest
Select Data (Data is in a List) or            Select Data or Stats
Stats (Statistics are already calculated)    ENTER
ENTER                                         Enter appropriate information for group 1 &
Enter appropriate information                   group 2
µo = null hypothesis value                  Highlight appropriate alt. hyp. symbol
Highlight appropriate alt. hyp. symbol        ENTER
ENTER                                         Highlight NO for Unpooled or YES for Pooled
Highlight Calculate                           ENTER
ENTER                                         Highlight Calculate
ENTER
TI-84 Directions

Correlation and Regression Equation

INITIAL SETUP                                                              DATA ENTRY
To enable all statistics for correlation and regression analysis,          Enter Data:
perform this sequence once (only redo if memory is cleared):               STAT
Option 1:Edit
2nd CATALOG                                                                Enter x-variable values in L1
DiagnosticOn                                                               Enter y-variable values in L2
2nd QUIT
ENTER
ENTER

REGRESSION COEFFICIENTS                                             VALUES GIVEN
STAT                                                                   Y-Intercept
CALC                                                                   Slope
Option 8:LinReg(a+bx)                                                  Coefficient of Determination (r2)
ENTER                                                                  Correlation Coefficient (r)

Graphing

SCATTERPLOT
Graph Scatterplot:
2nd STATPLOT
Option 1: Plot 1
ENTER
Highlight ON
ENTER
Scroll down to TYPE
Highlight the 1st Icon
ENTER
Scroll down to Xlist: Enter List name for explanatory variable (e.g. L1)
Scroll down to Ylist: Enter List name for response variable (e.g. L2)
Scroll down to Mark: Choose the mark desired to represent each observation
ZOOM
Option 9: ZoomStat
ENTER

Graph Regression Line:
Y=
VARS
Option 5: Statistics
EQ
Option 1: RegEQ
ENTER
GRAPH
TRACE

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