Question

The rainfall recorded in a city for 60 days is given in the following table.

Rainfall (In cm) 0 -10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60

No. of days 16 10 8 15 5 6

Calculate the median rainfall.
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Answer 1

Given : The rainfall recorded in a city for 60 days

To Find :   the median rainfall.

Solution:

Rainfall (In cm)  No. of days   Cumulative Days

0 -10                          16                     16

10 – 20                     10                     26

20 – 30                     8                      34

30 – 40                     15                     49

40 – 50                     5                     54

50 – 60                      6                     60

60/2 = 30  lies in  interval 20 - 30

Median = 20  + 10 x ( 60/2  - 26)/8

= 20 + 10 * 4 / 8

= 20 + 5

= 25

median rainfall.  = 25 cm

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