Learn how to calculate standard deviation through this slide for "how to calculate standard deviation". More example calculations can be performed @ http://ncalculators.com/statistics/mean-standard-deviation-calculator.htm

1. step 1: calculate Total number of
inputs of a data set
step 2: calculate Mean
step 3: calculate Standard Deviation

2. The total number of input data used to find
out the Mean of the data set. For example, 5,
20, 40, 80, 100 is the data set, then the
total number of input is ‘5’

3. i. Mean is also known as Arithmetic Mean or
Average or x bar. It is a measure of central
tendency value to which the dispersion or
standard deviation of a data set will be
calculated.
ii. The below mathematical formula is used to
figure out the mean of the data set

4. i. Standard deviation is the dispersion range
from the mean of a large or small data set
represented by s or SD or σ
ii. The below mathematical formula is used to
calculate the standard deviation

5. 1. calculate SD for the data set
(5,20,40,80,100)
Solution:
Total Inputs(N) =(5,20,40,80,100)
Total Inputs(N)=5
Mean(xm)= (x1+x2+x3...xN)/N
Mean(xm)= 245/5
Means(xm)= 49
-------------------------------------------

6. SD =
sqrt(1/(N-1)*((x1-xm)^2+(x2-xm)^2+..+(xN-
xm)^2))
=sqrt(1/(5-1)((5-49)^2+(20-49)^2+(40-
49)^2+(80-49)^2+(100-49)^2))
=sqrt(1/4((-44)^2+(-29)^2+(-
9)^2+(31)^2+(51)^2))
=sqrt(1/4((1936)+(841)+(81)+(961)+(2601)))
=sqrt(1605)
SD = 40.0625
More calculation can be done or the answers
can be verified by this standard deviation
calculator