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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]
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)?
In the following table, the information is given about the number of families and the siblings in the families less than 14 years of age. Find the mode of the data.
| No. of siblings | 1 | 2 | 3 | 4 |
| Families | 15 | 25 | 5 | 5 |
