During the medical check-up of 35 students of a class their weights were recorded as follows:Weight (in kg)38 − 40 40 − 42 42 − 44 44 − 46 46 − 48 48 − 50 50 − 52 Number of students32451443Draw a less than than type ogive from the given data. Hence obtain the median weight from the graph.
Answers
Given : medical check-up of 35 students of a class
their weights were recorded
To Find : Draw a less than type and a more than type ogive from the given data. Hence obtain the median weight from the graph
Solution:
Weight (in kg) f Less than More than
38 − 40 3 3 35
40 − 42 2 5 32
42 − 44 4 9 30
44 − 46 5 14 26
46 − 48 14 28 21
48 − 50 4 32 7
50 − 52 3 35 3
Median is 46.5 kg from graph
from formula :
46 + 2 * (17.5 - 14)/14
= 46 + 0.5
= 46.5
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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