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



