From the data given below find the mean .
Age in years Frequency
$0 - 5$ $3$
$6 - 10$ $4$
$11 - 15$ $5$
$16 - 20$ $8$

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Solution

$x_{i} = \frac{5}{2}, \frac{15}{2}, \frac{25}{2}, \frac{35}{2}$
$f_{i} = 3, 4, 5, 8 s u m f_{i} = 20$
$\sum x_{i} f_{i} = \frac{15}{2} + 30 + \frac{125}{2} + 140 = 240$
$¯ x = \frac{\sum x_{i} f_{i}}{\sum f_{i}} = \frac{240}{20} = 12$

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$x$	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
$f$	$5$	$8$	$15$	$16$	$6$

8, 11, 20, 10, 2, 17, 15, 5, 16, 15, 25, 6, 5

$C I$	$1 - 5$	$6 - 10$	$11 - 15$	$16 - 20$	$21 - 25$
$f$	$2$	$9$	$5$	$4$	$10$

\begin{matrix} C l a s s i n t e r v a l o f a g e i n y e a r s & F r e q u e n c y (f_{i}) 25 - 29 & 4 30 - 34 & 14 35 - 39 & 22 40 - 44 & 16 45 - 49 & 6 50 - 54 & 5 55 - 59 & 3 T o t a l & 70 \end{matrix}

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