The modal value of a set of data is the most frequently occurring value. The “Mode” for a data set is the element that occurs the most often. It is not uncommon for a data set to have more than one mode. This happens when two or more elements accur with equal frequency in the data set.Watch MODE VIDEO to learn more.
A data set with two modes is called bimodal. A data set with three modes is called trimodal.
Data Set = 2, 5, 9, 3, 5, 4, 7
Mode = 5
Bimodal Data Set = 2, 5, 2, 3, 5, 4, 7
Modes = 2 and 5
Trimodal Data Set = 2, 5, 2, 7, 5, 4, 7
Modes = 2, 5, and 7
Mode of grouped data
In a grouped frequency distribution, it is not possible to determine the mode by looking at the frequencies. Here, we can only locate a class with the maximum frequency, called the modal class. The mode is a value inside the modal class, and is given by the formula:
l = lower limit of the modal class,
h = size of the class interval (assuming all class sizes to be equal),
f1 = frequency of the modal class,
f 0 = frequency of the class preceding the modal class,
f 2 = frequency of the class succeeding the modal class.
Graphic Location of Mode:
Mode being a positional average so it can be located graphically by the following process.
- A histogram of the frequency distribution is drawn.
- In histogram, the highest rectangle represents the model class.
- The top left corner of the highest rectangle is joined with the top left corner of the following rectangle and top right corner of the highest rectangle is joined with the top right corner of the preceding rectangle respectively.
- From the point of intersection of both the lines a perpendicular drawn on X-axis, check that point on X-axis. This will be the required value of mode.
Useful for CBSE, ICSE, NCERT & International Students
Grade : 9
Subject : Maths
Lesson : Statistics
Topic: MODE VIDEO
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