Envelope of Discrepancy in Orthodontics: Enhancing Precision in Treatment
Types of mean
1. Types of Mean
Basic understanding about the various
types of Mean
2. Types of Mean
1.Arithmetic mean (AM) :
It is the sum of the sampled values divided by the
number of items in the sample.
2.Geometric mean (GM) :
It is an average that is useful for sets of positive
numbers that are interpreted according to their
product
3.Harmonic mean (HM)
The relation betAweMen AGM,MGM aHndM HM
3. Mean Calculation
Suppose x1,x2,x3…xn is a sample then
Arithmetic mean (AM)
x x x x x
...
x
1 2 3 4
n Geometric mean (GM)
i x x
Harmonic mean (HM)
n
n
n
i
1
1
_
) (
1
n
1
_
)
1
.(
i i x
x n
4. Mean of a function
To calculate a mean of a infinite set of values like a
function f(x),the formula is as follows
( )
f x dx
avg
b a
y
b
a
Basic and interesting formulas, which are very
helpful to solve algebra homework problems.