The following table shows the marks obtained by 120 students of class IX in a cycle
test-I. Draw the more than Ogive curve for the following data :
Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
No. of
2 6 8 20 30 22 18 8
students
Also, find
(i) The Median
(ii) The Number of students who get more than 75 marks.
Answers
Given : the marks obtained by 120 students of class IX in a cycle test-I
Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
No. of 2 6 8 20 30 22 18 8 4 2
To Find : Draw the more than Ogive curve for the following data
(i) The Median
Solution:
Marks f cf more than cf less than
0-10 2 120 2
10-20 6 118 8
20-30 8 112 16
30-40 20 104 36
40-50 30 84 66
50-60 22 54 88
60-70 18 32 106
70-80 8 14 114
80-90 4 6 118
90-100 2 2 120
Median = 40 +10 (60 - 36)/30 = 48
Less than ogive
The points with the upper limits of the class are plotted on x axis and the corresponding less than cumulative frequencies on y axis.
The points are joined by free hand smooth curve to give less than cumulative frequency curve or the less than Ogive
More than ogive
The points with the Lower limits of the class are plotted on x axis and the corresponding more than cumulative frequencies on y axis.
The points are joined by free hand smooth curve to give more than cumulative frequency curve or the More than Ogive
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