Mode
Mode :
Mode is an important measure of central tendency.Ya Lun Chou statement about the mode is ,"Mode is that values of series which appears most frequently than any other."
In simple words,"The mode is a value which has highest frequency."
The mode may not be unique .that is there are several values or classes with the same highest frequency.
I) Mode for discrete data:
Mode of sample is the observation with highest frequency.
Example:
A sample is 4,8,3,8,3,9,3,7,11,3,12,11
Here number 3 has maximum frequency(4).
Hence given sample has mode 3.
II)Mode for grouped data:
Mode of grouped data is the class centre of the modal class,while the modal class is a class which has highest frequency.
Example
Here 10-20 class has maximum frequency (15).
Hence 10-20 is modal class.
Here L=10,f1=15,fo=5,f2=8,h=20-10= 10
Mode=10+[(15-5)/(30-5-8)]×10
Mode=10+(10/17)×10
Mode=10+5.88
Mode=15.88
For example,In clothing Store,they operate their business to include the most popular dressing style.All based on the one that appears the most often.Mode can tell us peak in business and trades.In lot of cases mode used in day to day life.
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Nice representation
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