Question

12. The distribution of age of patients turned out in a hospital on a particular day
was as under:
No. of patients
Age (in years
148
More than 10
124
More than 20
109
More than 30
71
More than 40
30
More than 50
16
More than 60
1
More than 70 and upto 80
Find the median age and modal age of the patients.​

Answer 1

Explanation:

Let us find the mean of the data:

Age (in years)

Number of patients f

i

Class mark x

i

u

i

=

10

x

i

−30

f

i

×u

i

5-15

6

10

-2

-12

15-25

11

20

-1

-11

25-35

21

30−a

0

0

35-45

23

40

1

23

45-55

14

50

2

28

55-65

5

60

3

15

Total

n=80

43

a=30,h=10,n=80 and ∑f

i

u

i

=43

Mean =a+h×

n

1

×∑f

i

u

i

=30+10×

80

1

×43

=30+5.37=35.37 years

Thus mean =35.37 years.