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Concept of Mode

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definition

Mode: The mode is the value of the observation which occurs most frequently, i.e., an observation with the maximum frequency is called the mode.

notes

Mode:

  • The mode is the value of the observation which occurs most frequently, i.e., an observation with the maximum frequency is called the mode.

  • The mode of a set of observations is the observation that occurs most often.
  • It is possible that more than one value may have the same maximum frequency. In such situations, the data is said to be multimodal.

Mode of Large Data:

  • Putting the same observations together and counting them is not easy if the number of observations is large. In such cases, we tabulate the data.

  • Tabulation can begin by putting tally marks and finding the frequency.

Example

Find the mode of the given set of numbers: 1, 1, 2, 4, 3, 2, 1, 2, 2, 4

Arranging the numbers with same values together, we get 1, 1, 1, 2, 2, 2, 2, 3, 4, 4

Mode of this data is 2 because it occurs more frequently than other observations.

Example

The following are the margins of victory in the football matches of a league.
1, 3, 2, 5, 1, 4, 6, 2, 5, 2, 2, 2, 4, 1, 2, 3, 1, 1, 2, 3, 2, 6, 4, 3, 2, 1, 1, 4, 2, 1, 5, 3, 3, 2, 3, 2, 4, 2, 1, 2.
Find the mode of this data.

Let us put the data in a tabular form:

Margins of Victory Tally Bars Number of Matches
1 `cancel(||||)` |||| 9
2 `cancel(||||)cancel(||||)`|||| 14
3 `cancel(||||)` || 7
4 `cancel(||||)` 5
5 ||| 3
6 || 2
  Total 40

Looking at the table, we can quickly say that 2 is the ‘mode’ since 2 has occurred the highest number of times. Thus, most of the matches have been won with a victory margin of 2 goals.

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