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|
Finding Mode
graphically
Marks
inclusive series |
Conversions into
exclusive series |
No. of students
(frequency) |
| (x) |
|
(f) |
| 10-19 |
9.5-19.5 |
10 |
| 20-29 |
19.5-29.5 |
12 |
| 30-39 |
29.5-39.5 |
18 |
| 40-49 |
39.5-49.5 |
30 |
| 50-59 |
49.5-59.5 |
16 |
| 60-69 |
59.5-69.5 |
6 |
| 70-79 |
69.5-79.5 |
8 |
The
following steps must be followed to find the mode
graphically.
Represent the given data in the form
of a Histogram.The hight of the rectangles in the
histogram is marked by the frequencies of the
class interval as shown in the graph .Identify the
highest rectangle. This corresponds to the modal
class of the series.
Join the top corners of the modal
rectangle with the immediately next corners of
the adjacent rectangles. The two lines must be
cutting each other.This might be difficult to
visualise so look at the graph given below.
Let the point where the joining
lines cut each other be 'A'. Draw a perpendicular
line from point A onto the x-axis. The point 'P'
where the perpendicular will meet the x-axis will
give the mode.
The Histogram
In
this case the value of point P turns out to be 44.12
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