The data on number of patients attending a hospital in a month are given below. Find the average number of patients attending the hospital in a day.
No. of patients $0 - 10$ $10 - 20$ $20 - 30$ $30 - 40$ $40 - 50$ $50 - 60$
No. of days attending hospital $2$ $6$ $9$ $7$ $4$ $2$

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Solution

No. of patients

0-10

10-20

20-30

30-40

40-50

50-60

No. of days attending hospital

2

6

9

7

4

2

Midpoints

5

15

25

35

45

55

Average number of patients per day= $\frac{2 (5) + 6 (15) + 9 (25) + 7 (35) + 4 (45) + 2 (55)}{30} = \frac{10 + 90 + 225 + 245 + 180 + 110}{30} = \frac{860}{30} = 29$

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Age (yrs)	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$
No. of patients	$12$	$14$	$36$	$50$	$20$	$18$

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

300

360

Age in years	$10 - 20$	$20 - 30$	$30 - 50$	$50 - 60$	$60 - 70$
No. of patients	$80$	$50$	$80$	$120$	$30$

Age (in years):	10-20	20-30	30-40	40-50	50-60	60-70
No.of Patients:	90	50	60	80	50	30

Age in years	10−20	20−30	30−40	40−50	50−60	60−70
Number of patients	90	40	60	20	120	30

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No. of patients	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$
No. of days attending hospital	$2$	$6$	$9$	$7$	$4$	$2$

No. of patients	0-10	10-20	20-30	30-40	40-50	50-60
No. of days attending hospital	2	6	9	7	4	2
Midpoints	5	15	25	35	45	55