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Definition: Mode
The mode is the value of the observation that occurs most frequently; i.e., the observation with the maximum frequency is called the mode.
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.
Shaalaa.com | Mode
Series: Concept of Mode
Related QuestionsVIEW ALL [44]
Find the mean and the mode for the following data:
| Term | 18 | 22 | 23 | 30 | 34 | 38 |
| Frequency | 3 | 5 | 10 | 2 | 8 | 2 |
A car seller collects the following data of cars sold in his shop.
| Colour of Car | Number of Cars Sold |
| Red | 15 |
| Black | 20 |
| White | 17 |
| Silver | 12 |
| Others | 9 |
- Which colour of the car is most liked?
- Which measure of central tendency was used in (a)?
