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Arithmetic Mean ,Standard
Deviation and Variance
BY:
Sarah Al-Qiyyam
Islam ghawanmeh
SUPERVISOR:
Dr. Othman Smadi
Definition:
The arithmetic mean is the most commonly used
and readily understood measure of central tendency
defined as being equal to the sum of the numerical
values of each and every observation divided by the
total number of observations.
Equation
• Given a set of samples , the arithmetic
mean is
• The arithmetic mean of a set
of values is the quantity
commonly called the mean or
the average
Arithmetic mean= Mean=
Average
The Average deviation (Definition ):
•The average deviation is a measure of
dispersion, computed by taking the
arithmetic mean of the absolute values of
the deviations of the functional values from
some central value.
Absolute Value: distance a number is
from zero on a number line
Deviation: measure of variability that
shows how far a number is from the
overall pattern of data
The Average “mean” deviation
(Equation):
Steps to find MAD
Step 1: Find the mean of the data.
Step 2: Find the difference of each number
mean.
from the
Step 3: Add the differences and divide by the number of
data.