Find the mean (arithmetic) of following frequency distribution
$x$ 3 5 8 11
$f$ 2 4 5 3

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Solution

Table of A.M.
$x_{i}$ $f_{i}$ $f_{i} x_{i}$
3 2 6
5 4 20
8 5 40
11 3 33
$\sum f_{i} = 14$ $\sum f_{i} x_{i} = 99$
Thus, $A . M . (¯ x) = \frac{\sum f_{i} x_{i}}{\sum f_{i}} = \frac{99}{14} = 7.07$
Thus, required A.M> = 7.07

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$x_{i}$	$f_{i}$	$f_{i} x_{i}$
3	2	6
5	4	20
8	5	40
11	3	33
	$\sum f_{i} = 14$	$\sum f_{i} x_{i} = 99$

Find the mean (arithmetic) of following frequency distribution x 35811f2453

Table of A.M.xififixi3265420854011333∑fi=14∑fixi=99Thus, A.M.(¯x)=∑fixi∑fi=9914=7.07Thus, required A.M> = 7.07

Find the mean (arithmetic) of following frequency distribution
$x$ 3 5 8 11
$f$ 2 4 5 3

Table of A.M.
$x_{i}$ $f_{i}$ $f_{i} x_{i}$
3 2 6
5 4 20
8 5 40
11 3 33
$\sum f_{i} = 14$ $\sum f_{i} x_{i} = 99$
Thus, $A . M . (¯ x) = \frac{\sum f_{i} x_{i}}{\sum f_{i}} = \frac{99}{14} = 7.07$
Thus, required A.M> = 7.07