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Online Quiz (Worksheet A B C D)

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

1
2
4
5

Q 2: Find the arithmetic mean of the following distribution
xi10152025303540
fi46818653

20.5
12.4
29.8
24.3

Q 3: If the mean of the following data is 18, find the missing frequency p.
xi10152025
fi510p8

4
7
8
6

Q 4: Five coins were simultaneously tossed 1000 times and at each toss the number of heads was observed. The number of tosses during which 0,1,2,3,4,5 heads were obtained are shown in the table below. Find the mean number of heads per toss.
Number of heads per toss(xi)012345
No. of tosses (fi)3814434228716425

3.182
2.564
2.472
4.567

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