Finding Standard Deviation "ByHand"
Using the lists, the calculator can simulate a
spreadsheet style
"by hand" computation of standard deviation.
(see Measures of Dispersion
for the FAST way to find standard deviation)
Problem: For
the data set {10, 12, 40, 35, 14, 24, 13, 21, 42, 30}, find the
range, the standard deviation, the variance, and the mean absolute deviation
to the nearest hundredth.
Spreadsheetstyle solution for standard deviation: 
1.
Enter the data in L_{1}. 
2.
Create
L_{2 }to be the
deviations, .
2nd LIST →
MATH #3 mean
Using the quotes
(ALPHA +) will
create a dynamic situation where
L_{2} will automatically update when
L_{1} changes.

3.
Create L_{3} to be the deviations squared .
Again, using the quotes
(ALPHA +) will
create a dynamic situation where
L_{3} will automatically update when
L_{2} changes.

4.
From the HOME
screen.
Compute the sum of the squared deviations,
divide by the number of pieces of data (for
a population form), and take the square
root.
2nd LIST → MATH #5 sum
2nd LIST
→ OPS #3 dim
gives the dimension (size) of the list.

ANSWER:
population standard deviation
is 11.43



