Collect the marks obtained by 30 students of your class in Maths in the latest examination conducted in your school. Present the data as a grouped frequency distribution table and represent it graphically by drawing an ogive of less than type.
Answers
Given : marks obtained by 30 students
To find : Present the data as a grouped frequency distribution table and represent it graphically by drawing an ogive of less than type.
Solution:
50 Marks Test
Class Frequency Less than Cumulative Frequency
0 - 5 0 0
5 - 10 2 2
10-15 1 3
15 - 20 4 7
20 - 25 5 12
25 - 30 6 18
30 - 35 5 23
35 - 40 3 26
40 - 45 2 28
45 - 50 2 30
Median = 25 + 5 * (15 - 12)/6
= 25 + 2.5
= 27.5
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
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