Question

(ii) The following table shows ages of patients getting medical treatment in a hospital on a particular
day :
Age (in years)
10 - 20
20 - 30
30 - 40
40-50
50 - 60
60-70
Number of patients
40
32
35
45
33
15
Find the median age of a patient.​

Answer 1

Answer:

ANSWER

Consider the following table, to calculate median:

c

i

f

i

cf

10-20 60 60

20-30 42 60+42=102

30-40 55 102+55=157

40-50 70 157+70=227

50-60 53 227+53=280

60-70 20 280+20=300

Median =l+

f

m

(

2

N

−cf)

×c

Here,

Class Interval c=10

N=Σf

i

=300

2

N

=150

⇒ Median class =30−40

⇒Frequency of median classf

m

=55

Lower boundary of median class l=30

previous cumulative frequency of median class cf=102

∴ Median =30+

55

(

2

300

−102)

×10

∴ Median =30+

55

(48)

×10

∴ Median =38.727⇒38.73