Solution
(i) Less than Series:
Prepare the less than series as shown below :
|
Score
|
Number of candidates
|
|
Less than 250
|
30
|
|
Less than 300
|
45
|
|
Less than 350
|
90
|
|
Less than 400
|
110
|
|
Less than 450
|
135
|
|
Less than 500
|
175
|
|
Less than 550
|
185
|
|
Less than 600
|
200
|
We plot the points (200, 0), (250, 30), (300, 45), (350, 90), (400, 110), (450, 135), (500, 175), (550, 185) and (600, 200) on a graph paper.
Join these points to get the curve representing less than series.
(ii) More Than Series:
Prepare the more than series as shown below :
|
Score
|
Number of candidates
|
|
More than 200
|
200
|
|
More than 250
|
170
|
|
More than 300
|
155
|
|
More than 350
|
110
|
|
More than 400
|
90
|
|
More than 450
|
65
|
|
More than 500
|
25
|
|
More than 550
|
15
|
|
More than 600
|
0
|
Now, on the same graph paper as above, we plot the points (200, 200), (250, 170), (300, 155), (350, 110), (400, 90), (450, 65), (500, 25), (550, 15), (600, 0).
Join these points to get the curve representing the more than series.

The two curves intersect at the points P(375, 100).
Hence, median = 375.