Types of Mean Basic understanding about the various types of Mean
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 between AM,GM and ≼ HMHM AM ≼ GM
Mean Calculation Suppose x1,x2,x3…xn is a sample then Arithmetic mean (AM) −
x=
Geometric mean (GM)
x1 + x2 + x3 + x4 ... + xn n
_
n
x =(∏ xi )
1 n
i= 1
n
1 1 Harmonic mean (HM) x = n.( ∑ )− _
i= 1
xi
Mean of a function To calculate a mean of a infinite set of values like a function f(x),the formula is as follows b
âˆŤf
y avg =a
( x ) dx
b− a
Basic and interesting formulas, which are very helpful to solve algebra homework problems.