The given histogram shows the heights of 232 students of an athletic club and their numbers. Study the histogram carefully and answer the questions that follows. If the histogram is to be presented by a line diagram, what would be the starting point and the end point of the line diagram?
(117.5,0) and (172.5,0)
Given:-
Athletic club of 232 members and their height's frequency.
Concept used:-
Frequency Polygon:- A frequency polygon is a graph constructed by using line s to join the midpoints of each interval or bin. The heights of the points represent the frequencies. A frequency polygon can be created from the histogram or by calculating the midpoints of the bins from the frequency distribution table.
Calculation:-
From histogram -
Class size = Upper limit - Lower limit
Class size = 125 - 120 = 5
∴ Mid point of a class = 5/2 = 2.5
So, Starting point of Line graph -
X - co-ordinate = 120 - 2.5 = 117.5
Y - co-ordinate = frequency of point = 0
∴ Starting point = (117.5,0)
End point of Line graph -
X - co-ordinate = 170 + 2.5 = 172.5
Y - co-ordinate = frequency of point = 0
∴ End point = (172.5,0)
∴ Required points are (117.5,0) and (172.5,0).
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Directions:
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