The position of the graphically represented keys can be found by moving your mouse on top of the graphic. 

Turn your calculator on
Press Bottom Left Corner.
Clearing the memory
To clear the entire memory, press Row 1, Column 1 Row 3, Column 2 (you should see STAT written above the key) .  The word DATA should be highlighted.  Press (labeled ClrStat) and Bottom Right Corner.  The screen should say done.

 

Entering data
one variable
Press Row 1, Column 1 Row 3, Column 2 (STAT) button to enter statistics mode.  Press (the word DATA should be highlighted).  Press (labeled 1:Edit).  Enter the first number and press Bottom Right Corner Bottom Right Corner (twice) (screen has y values, we must hop over them).  Enter the second number, press Bottom Right Corner Bottom Right Corner (twice).  Continue until all the data has been entered.
two variables
Press Row 1, Column 1 Row 3, Column 2 to enter statistics mode.  Press (the word DATA should be highlighted).  Press (labeled 1:Edit). Enter the first x-value, then press Bottom Right Corner.  Enter the corresponding y-value, the press Bottom Right Corner.  Continue until all of the data has been entered.  

 

Calculating one-variable statistics
mean (x)
Press Row 1, Column 1 Row 3, Column 2 .  The word CALC should be highlighted.  Press (labeled 1:1-Var) and Bottom Right Corner.  The mean is x.
standard deviation for populations (s or sn)
Press Row 1, Column 1 Row 3, Column 2 .  The word CALC should be highlighted.  Press (labeled 1:1-Var) and Bottom Right Corner.  The population standard deviation is sx.
standard deviation for samples (s or sn-1)
Press Row 1, Column 1 Row 3, Column 2 .  The word CALC should be highlighted.  Press (labeled 1:1-Var) and Bottom Right Corner.  The sample standard deviation is sx.

Calculating two-variable statistics

r (correlation)
Press Row 1, Column 1 Row 3, Column 2 .  The word CALC should be highlighted.  Press (labeled 2:LinReg) and Bottom Right Corner.  The correlation coefficient is r.
regression coefficients
slope
Press Row 1, Column 1 Row 3, Column 2.  The word CALC should be highlighted.  Press (labeled 2:LinReg) and Bottom Right Corner.  The slope is a.
y-intercept
Press Row 1, Column 1 Row 3, Column 2 .  The word CALC should be highlighted.  Press (labeled 2:LinReg) and Bottom Right Corner.  The y-intercept is b.


Calculating combinations and permutations
combinations (nCr)
Enter the n value.  Press Row 3, Column 1.  On the top, you'll see four choices. Use to move the cursor to PROB, the fourth choice.  Press (labeled nCr).  Enter the r value, then press Bottom Right Corner.
permutations (nPr)
Enter the n value.  Press Row 3, Column 1.  On the top, you'll see four choices. Use to move the cursor to PROB, the fourth choice.  Press (labeled nPr).  Enter the r value, then press Bottom Right Corner.

 

Turning the calculator off
Press Row 1, Column 1 Bottom Left Corner (you should see OFF above the key).

 

Worked Out Examples

In the following examples, we list the exact key sequence used to find the answer.  We will list the keys by the main symbol on the key.  In parentheses, we will list a helpful mnemonic, e.g. we will list ex as (ex).

A: What is the mean and standard deviation of the following list of numbers?

15      16      20      21

1: Clear Memory  Row 1, Column 1 Row 3, Column 2 Bottom Right Corner
2: Enter Data  Row 1, Column 1 Row 3, Column 2 Bottom Right Corner Bottom Right Corner Bottom Right Corner Bottom Right Corner Bottom Right Corner Bottom Right Corner Bottom Right Corner Bottom Right Corner  Row 1, Column 1 Row 1, Column 2 (QUIT)
3: Compute the mean   Row 1, Column 1 Row 3, Column 2 (CALC) (1:1-Var)Bottom Right Corner
4: Compute the standard deviation (population)  Row 1, Column 1 Row 3, Column 2 (CALC) (1:1-Var)Bottom Right Corner
5: Compute the standard deviation (sample)  Row 1, Column 1 Row 3, Column 2 (CALC) (1:1-Var)Bottom Right Corner


    You should get a mean of 18, population standard deviation of 2.549509757 and a sample standard deviation of 2.943920289.

B: Find the linear regression line for the following table of numbers. Also find the correlation.

x 1 2 3 4
y 2 4 5 7

1: Clear Memory  Row 1, Column 1 Row 3, Column 2 Bottom Right Corner
2: Enter Data  Row 1, Column 1 Row 3, Column 2 Bottom Right Corner Bottom Right Corner  Bottom Right Corner Bottom Right Corner Bottom Right Corner Bottom Right Corner Bottom Right Corner  Bottom Right Corner
3: Compute the slope of the regression line  Row 1, Column 1 Row 3, Column 2 (2:LinReg) Bottom Right Corner
4: Compute the y-intercept of the regression line  Row 1, Column 1 Row 3, Column 2 (2:LinReg) Bottom Right Corner
5: Compute the correlation  Row 1, Column 1 Row 3, Column 2 (2:LinReg) Bottom Right Corner


    You should get a slope of 1.6, a y-intercept of 0.5, and a correlation of 0.992277876.
    The regression line would be: y = 1.6x+0.5.

C: Find 10C6 and 9P5.
1: Compute 10C6   Row 3, Column 1  (3: nCr) Bottom Right Corner
2: Compute 9P5   Row 3, Column 1 (2:nPr) Bottom Right Corner


You should get 10C6 = 210 and 9P5= 15120.

Other TI-81 Pages:

Basic Stats Statistical Graphs Calculator Exercises
Home Page TI's TI-81 manual  
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