Draw an ogive to represent the following frequency distribution:
class-interval: 0-4 5-9 10-14 15-19 20-24
No.of students: 2 6 10 5 3
Answers
ogive is as follows :
•for less than ogive:
•class-interval: 0-4 5-9 10-14 15-19
20-24
•No.of students: 2 6 10 5 3
•Making class interval continuous
•class-interval: 0-4.5 4.5-9.5 9.5- 14.5 14.5-19.5 19.5-24.5
•less than : 4.5 9.5 14.5 19.5 24.5
•cumulative :2 8 18 23 26
frequency
Drawn ogive
Step-by-step explanation:
class-interval: f cf More than cf Less Than
0-4 2 26 2
5-9 6 24 8
10-14 10 18 18
15-19 5 8 23
20-24 3 4 26
Median = 10 + 5 * (13 - 8)/10
= 10 + 2.5
= 12.5
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
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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