In the following table age distribution of patient in the city, suffering from some diseases is given that the average age ( in years) per patient.
Age No. of patient
5-14 6
15-24 11
24-24 21
35-44 23
45-54 54
55-60 5

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Solution

$A g e$ $C l a s s - m a r k$
$x_{i}$ $N o . o f p a t i e n t$
$f_{i}$ $f_{i} x_{i}$
$4.5 - 14.5$ $9.5$ $6$ $57$
$14.5 - 24.5$ $19.5$ $11$ $214.5$
$24.5 - 34.5$ $29.5$ $21$ $619.5$
$34.5 - 44.5$ $39.5$ $23$ $908.5$
$44.5 - 54.5$ $49.5$ $54$ $2673$
$54.5 - 60.5$ $59.5$ $5$ $297.5$
$\sum f_{i} = 120$ $\sum f_{i} x_{i} = 4770$
$M e a n (¯ ¯ ¯ x) = \frac{\sum f_{i} x_{i}}{\sum f_{i}} = \frac{4770}{120} = 39.75$

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Similar questions

The following table shows the age distribution of patients of malaria in a village during a particular month.

Age (in years)	$5 - 14$	$15 - 24$	$25 - 34$	$35 - 44$	$45 - 54$	$55 - 64$
No. of cases	$6$	$11$	$21$	$23$	$14$	$5$

Find the average age of the patients.

Age (in years)	7 - 11	11 - 15	15 - 19	19 - 23	23 - 27	27 - 31	31 - 35	35 - 39
No. of People	5	9	13	21	16	15	12	9

Age (in years)	10-20	20-30	30-40	40-50	50-60	60-70
No. of patients	60	42	55	70	53	20

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