## Mode

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Definition: Mode of a given set is the most often occurred value.

Example 1: The goals scored by a foot ball team in a series is given below:

3,6,7,2,3,6,3,3,2. Find the most often occurred value.

Solution:

- First we have to arrange them in order(either in ascending or descending).

2,2,3,3,3,3,6,6,7.

- Here the value most often occurred is 3(as it appeared for 4 times). The value 2 and 6 appears only for 2 times. So most often occurred value of the given set is 3

Example 2: Find the mode of the given set {10,15, 5,10,10,5, 15,,10,,10,20}

Solution:

- First let us arrange the set in order. {5,5,10,10,10,10,10, 15,15, 20}
- 5 occurs 2 times.

10 occurs 5 times, and

15 occurs 2 times.

So the most often occurred value is 10. The mode of the given

set is 10.

Mode to Basic Statistics