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### Middle/High School Algebra, Geometry, and Statistics (AGS)9.20 Arithmetic Mean of Discrete Values

Arithmetic Mean (A.M.)
Arithmetic Mean better known as average is the most commonly used measure of central tendency.

The mean of the n observations x1,x2,x3,x4........,xn is x where
x = x1,x2,x3,x4........,xn/n
Using the summation notation, the arithmetic mean of n observations x1,x2,x3,x4........,xn can be more simply expressed as

where x = Aritmetic mean
n = Number of observations
xi = ith observation of the variable x

= summation of all xi values

Example
• Find the mean of the following distribution :
 xi 12 13 14 15 16 17 18 fi 1 3 4 8 10 3 1
• Solution

Q 1: If the mean of the following data is 18, find the missing frequency p.
 xi 10 15 20 25 fi 5 10 p 8

8
6
7
4

Question 2: This question is available to subscribers only!