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The following table shows ages of 3000 patients getting medical treatment in a hospital on a particular day :
Age (in years)  No. of Patients 
1020  60 
2030  42 
3040  55 
4050  70 
5060  53 
6070  20 
Find the median age of the patients.
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Solution
Age (in years)  No. of Patients  c.f. (less than type) 
1020  60  60 
2030  42  102 → c.f. 
3040 Median class 
55 → f  157 
4050  70  227 
5060  53  280 
6070  20  300 
Here, N =` 300/2`
N=150
Cumulative frequency just greater than 150 is 157.
∴ Corresponding class (30 – 40) is the median class.
L = 30, f = 55, c.f. = 102, h = 10
`"Median =L"+("N"/2"c.f")"h"/"f"`
=`30 + (150  102) xx(10/55)`
=`30+48 xx (10/55)`
= `30 + 480/55`
=30 + 8.7272
=38.73
Thus, the median age of patients is 38.73 years.
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