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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 :
    xi12131415161718
    fi13481031
  • Solution


Q 1: Find the arithmetic mean of the following distribution
xi10152025303540
fi46818653

24.3
29.8
12.4
20.5

Q 2: Find the value of p, if the mean of the following distribution is 20 :
xi15171920+p23
fi2345p6

5
1
2
4

Q 3: Find the mean of first 10 odd natural numbers.
10
11
13
9

Q 4: Find out the missing value of the variate for following distribution whose mean is 31.87.
xi12202733?54
fi8164890308

35
48
31
42

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Question 6: This question is available to subscribers only!


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