Download Instruction on calculating Standard Deviation in

calculating
Standard
Deviation in
Excel
Standard Deviation
Formula
Population Standard Deviation:
(𝑥𝑖 − 𝜇)2
𝛿=
𝑁
𝛿 = Population Standard Deviation
𝜇 = Population Mean
𝑥𝑖 = Each Value
𝑥𝑖 − 𝜇 = Dispersion: how far each value is from the mean
Sample Standard Deviation:
(𝑥𝑖 − 𝑥)2
𝑠=
𝑛−1
𝑠 = Sample Standard Deviation
𝑥 = Sample Mean
𝑥𝑖 = Each Value
𝑥𝑖 − 𝑥 = Dispersion: how far each value is from the
mean
1. Copy the data to excel
2. Calculate the mean
a)
b)
c)
d)
Select a cell in excel
Enter the = sign in the cell
Type in Average
Double click on the formula and select
the data
e) Close parenthesis by doing Shift + 0
f) Press Enter
3. Find the Dispersion
a) Dispersion is the difference between each
data and the mean.
b) Next to the column near the first data
c)
d)
e)
f)
g)
Enter the equal sign
Select the first data
Enter the minus sign
Select the mean
Enter
3. Continue
a) Next we want to copy the dispersion
formula for the rest of the data. To do this
we need to make the mean cell fixed
i. For that select the cell
ii. Click next to the cell number which in
this example is A11
iii. Function + F4, note this will place $
next to cell column and row the. i.e.
$A$11
b) Now place your mouse in the lower right
corner of the cell, once you see the filled in
plus sign, left click and drag down
4. Dispersion squared
a) Go to the next column on the first row
b) Enter the equal sign
c) Select the Dispersion cell, in this
example B4
d) Then Shift + 6
e) The number 2
f) And then enter
4. Continue
a) Now we need the same formula for all
the other values. So place your mouse in
the lower right corner of the cell, once
you see the filled in plus sign, left click
and drag down
5. Sum the dispersion
squares
a)
b)
c)
d)
e)
Select a cell
Enter the equal sign
Enter the word sum
Select the data
Shift + 0 to close the parenthesis
f) Enter
6. Divide the number
from step 5
a) If you are calculating the sample standard
deviation divide the number from step 5
by one less than the number of data. If you
are calculating the population, then divide
the number from step 5 to number of data
b) Select a cell
c) Enter the equal sign
d) Select the cell that has step 5’s value
e) The division sign
f) Then enter the number. For this example
there are 7 numbers. So we divide by 7
g) Enter
7. Take square root
a) This is the last step. We need to take
the square root of the number we
found in part 6. To do that follow
the following steps
b) Enter the equal sign into a cell
c) Then type SQRT and select Excel's
formula
d) Select the cell from step 6
e) Shift+0 to close parenthesis
f) Enter
All together
Here is the entire excel parts: