For an individual data mode is the value of the variable which occurs most frequently.
Example 1 :
In a factory, seven labors are receiving the daily wages of $500, $600, $600, $800, $800, $800 and $1000, find the modal wage.
Solution :
In the given data $800 occurs thrice. So, the mode is $800.
Example 2 :
Find the mode for the set of values 17, 18, 20, 20, 21, 21, 22, 22.
Solution :
In this example, three values 20, 21, 22 occur two times each. There are three modes for the given data!
Note :
∙ A distribution having only one mode is called unimodal.
∙ A distribution having two modes is called bimodal.
∙ A distribution having Three modes is called trimodal.
∙ A distribution having more than three modes is called multimodal.
Example 3 :
Following are the margin of victory in the foot ball matches of a league.
1, 3, 2, 5, 1, 4, 6, 2, 5, 2, 2, 2, 4, 1, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 6, 4, 3, 2, 1, 1, 4, 2, 1, 5, 3, 4, 2, 1, 2.
Find the mode.
Solution :
Since 2 has occurred more number of times (14 times), the mode of the given data is 2.
Example 4 :
The number of children in 20 families are
1, 2, 2, 1, 2, 1, 3, 1, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 2, 1
Find the mode.
Solution :
Since 2 has occurred more number of times (15 times), the mode of the given data is 2.
In a ungrouped frequency distribution, the value of the item having maximum frequency is taken as the mode.
Example 5 :
A set of numbers consists of five 4’s, four 5’s, nine 6’s,and six 9’s. What is the mode ?
Solution :
6 has the maximum frequency 9.
So, 6 is the mode.
Example 6 :
The demand of track suit of different sizes as obtained by a survey is given below :
Which size is in greater demanded?
Solution :
Since size 40 has the maximum frequency 37, mode of the above data is 40.
So, size 40 is in greater demand.
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