Math, asked by ashiteedavane, 7 months ago

2 points
Q.8) The following table shows
ages of 300 patients getting
medical treatment in a hospital on
a perticular day. Find the median
age.
Tlapan 2
12
5
and En
O
37.37 years
O 38.73 years
O 39.73 years
0 40.39 years
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Answers

Answered by Pankajjj25
2

Answer:

onsider 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

Hence. option B is correct.

Step-by-step explanation:

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