This is the only calculator I've found that is specifically designed for statistics.

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

Turn your calculator on
Flick the S-61 switch on the top right of your calculator.
Clearing the memory
Press The Clear Group Key: Row 1, Column 3. If you're doing linear regression, flick the other switch to GP2 and press The Clear Group Key: Row 1, Column 3.

 

Entering data
one variable
For each number in your list, enter the number and press The Sigma i x x squared key: Row 2, Column 7.
two variables
Enter the first x-value and press The X-Enter Key: Row 3, Column 7. Enter the first y-value and press The Y-Enter Key: Row 4, Column 7. Enter the other pairs in the same way.

 

Calculating one-variable statistics
mean (x)
Press The F Key: Row 1, Column 1 The Intercept Key: Row 4, Column 5. You should see x above the key.
standard deviation for populations (s or sn)
Press The F Key: Row 1, Column 1 The Sigma i x x squared key: Row 2, Column 7. You should see s' above the key.
standard deviation for samples (s or sn-1)
Press The F Key: Row 1, Column 1 The X bar Key: Row 2, Column 5. You should see s above the key.

Calculating two-variable statistics
r (correlation)
Press The r Key: Row 3, Column 6. 
regression coefficients
slope
Press The slope Key: Row 4, Column 6. 
y-intercept
Press The Intercept Key: Row 4, Column 5. 


Calculating combinations and permutations
combinations (nCr)
Enter r and press The K Key: Row 4, Column 3. Enter n and press The F Key: Row 1, Column 1 The Permutation Key: Row 4, Column 1. Note the reversal of the usual order.
permutations (nPr)
Enter r and press The K Key: Row 4, Column 3. Enter n and press The Permutation Key: Row 4, Column 1. Note the reversal of the usual order.

 

Turning the calculator off
Flick the S-61 switch off. 

 

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  The Clear Group Key: Row 1, Column 3
2: Enter Data  The One Key: Row 8, Column 4 The Five Key: Row 7, Column 5 The Sigma i x x squared key: Row 2, Column 7 The One Key: Row 8, Column 4 The Six Key: Row 7, Column 6 The Sigma i x x squared key: Row 2, Column 7 The Two Key: Row 8, Column 5 The Zero Key: Row 9, Column 4 The Sigma i x x squared key: Row 2, Column 7 The Two Key: Row 8, Column 5 The One Key: Row 8, Column 4 The Sigma i x x squared key: Row 2, Column 7
3: Compute the mean  The F Key: Row 1, Column 1 The Intercept Key: Row 4, Column 5 ( x )
4: Compute the population standard deviation  The F Key: Row 1, Column 1 The Sigma i x x squared key: Row 2, Column 7 (s') 
5: Compute the sample standard deviation  The F Key: Row 1, Column 1 The X bar Key: Row 2, Column 5 (s)


    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  Flick switch to GP2 The Clear Group Key: Row 1, Column 3
2: Enter Data  The One Key: Row 8, Column 4 The X-Enter Key: Row 3, Column 7 The Two Key: Row 8, Column 5 The Y-Enter Key: Row 4, Column 7 The Two Key: Row 8, Column 5 The X-Enter Key: Row 3, Column 7 The Four Key: Row 7, Column 4 The Y-Enter Key: Row 4, Column 7 The Three Key: Row 8, Column 6 The X-Enter Key: Row 3, Column 7 The Five Key: Row 7, Column 5 The Y-Enter Key: Row 4, Column 7 The Four Key: Row 7, Column 4 The X-Enter Key: Row 3, Column 7 The Seven Key: Row 6, Column 4 The Y-Enter Key: Row 4, Column 7
3: Compute the slope of the regression line  The slope Key: Row 4, Column 6
4: Compute the y-intercept of the regression line  The Intercept Key: Row 4, Column 5
5: Compute the correlation  The r Key: Row 3, Column 6


    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

 The Six Key: Row 7, Column 6 The K Key: Row 4, Column 3 The One Key: Row 8, Column 4 The Zero Key: Row 9, Column 4 The F Key: Row 1, Column 1 The Permutation Key: Row 4, Column 1
2: Compute 9P5  The Five Key: Row 7, Column 5 The K Key: Row 4, Column 3 The NIne Key: Row 6, Column 6 The Permutation Key: Row 4, Column 1


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

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