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Mode


The mode is one of the measures of the central tendency. It is also one the methods of finding the average of the given statisticsdata. The mode is defined as the value which is repeated frequently in the given data. In other word mode can also be defined as the observation which appears more frequently.

If in the given data there are more than one mode that is considered that there are two numbers that occur very frequently then it is known as bimodal and if there are more than two modal values then it is known as multimodal.

Let us discuss mode with some of the example problems.

Consider the first example be: find out the mode of the given data. 5, 3, 2, 5, 3, 2, 5, 9, 5, 8, 7, 2, 5, 8.

The given data is 5, 3, 2, 5, 3, 2, 5, 9, 5, 8, 7, 2, 5, 8. Now let us find out the no of times each number is repeated. The number 5 is repeated for 5 times. The number 3 is repeated for 2 times. The number 2 is repeated for 3 times. The number 9 is repeated only for one time. The number 8 is repeated for 2 times and the number 7 is repeated for one time. So in the given data only number is repeated more frequently that is number 5 for 5 times. So the modal value of the given data 5.

Consider the second example be: find out the modal value of the given data . 2, 3, 5, 3, 2, 6, 2, 3, 2, 5, 3, 6, 2, 8, 7, 9, 3.

The given data is 2, 3, 5, 3, 2, 6, 2, 3, 2, 5, 3, 6, 2, 8, 7, 9, 3. Now let us find out the number of times that a number is repeated. Now let us find out the number of times that a number is repeated. The number 2 is repeated for 5 times. The number 3 is repeated for 5 times, and the number 5 is repeated for 2 times, the number 6 is repeated for 2 times, the number 8 is repeated for once and 9 is repeated for once and 7 also repeated for once. In the given data the numbers 2 and 3 are repeated for the same number of times that is about 5 times. So the given data are having two modal values which are known as bimodal. The modal values of the given data is 2 and 3.

Consider the third example be: find out the modal of 9, 8, 8, 9, 7, 7, 6, 3.

The given data is 9, 8, 8, 9, 7, 7, 6, 3. In the given data the numbers 9, 8, and 7 are repeated for the same number of times that is about 2 times and other numbers such as 6 and 3 are for one time. So the given data are having more than two modals it is known as multimodal. The modal values of the given data are 9, 8 and 7.

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