The mean of the following distribution is.
Age (in year) $19 - 25$ $26 - 32$ $33 - 39$ $40 - 46$ $47 - 53$ $54 - 60$
Frequency $35$ $40$ $68$ $15$ $35$ $4$

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Solution

$x_{i} = 22, 29, 36, 43, 50, 57$
$\sum f_{i} = 35 + 40 + 68 + 15 + 35 + 7 = 200$
$\sum x_{i} f_{i} = 770 + 1160 + 2448 + 645 + 1750 + 399 = 7172$
$¯ x = \frac{7172}{200} = 35.86$

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Calculate the median for the following data:

$\begin{matrix} Age(in years) & 19-25 & 26 - 32 & 33 - 39 & 40 - 46 & 47 - 53 & 54 - 60 Frequency & 35 & 96 & 68 & 102 & 35 & 4 \end{matrix}$

Age (in years)	19-25	26-32	33-39	40-46	47-53	54-60
Frequency	35	96	68	102	35	4

20

30 - 35, 35 - 40

40, 38, 33, 48, 60, 53, 31, 46, 34, 36, 49, 41, 55, 49, 65, 42, 44, 47, 38, 39

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Age (in year)	$19 - 25$	$26 - 32$	$33 - 39$	$40 - 46$	$47 - 53$	$54 - 60$
Frequency	$35$	$40$	$68$	$15$	$35$	$4$