Mode of Grouped Data
Mode of Grouped Data
Mode Of Grouped Data:
It is possible that more than one value may have the same maximum frequency. In such situations, the data is said to be multimodal. Though grouped data can also be multimodal, we shall restrict ourselves to problems having a single mode only.
Example : The wickets taken by a bowler in 10 cricket matches are as follows:
2 6 4 5 0 2 1 3 2 3
Find the mode of the data.
Solution: Let us form the frequency distribution table of the given data as follows:
| Number of wickets | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| Number of matches | 1 | 1 | 3 | 2 | 1 | 1 | 1 |
Clearly , 2 is the number of wicktes taken by the bowler in the maximum number ( i.e, 3) of matches. So, the mode of this data is 2.
In a grouped frequency distribution, it is not possible to determine the mode by looking at the frequencies. Here, we can only locate a class with the maximum frequency, called the modal class. The mode is a vlaue inside the modal class, and is given by the formula:
where l = lower limit of the modal class,
h = size of the class interval ( assumibg all class sizes to be equal )
= frequency of the modal class,
= frequency of the class preceding the modal class,
= frequency of the class succeeding the modal class.
Let us consider the following examples to illustrate the use of this formula.
f
To find the mode of a grouped data, the size of the classes is ________________. | |||
| Right Option : A | |||
| View Explanation | |||
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