find the mode of the data 1, 1, 1, 2, 2, 3. 3, 3. 4, 4, 4. 5, 5, 5 and justify your answer.
Answers
Except 2 all remaining numbers are mode.
Because a mode is the most frequent number, that is the number that occurs the highest number of times. Example: The mode of {4 , 2, 4, 3, 2, 2} is 2 because it occurs three times, which is more than any other number.
Here, in this case 1 repeats 3 times
2 repeats 2 times
3 repeats 3 times
4 repeats 3 times
5 repeats 3 times
So, 1,3,4&5 these all 4 numbers are mode.
2 is not a mode because it has appeared 1 time less than the other numbers so it will not be taken into the group of mode.
Given:
1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5
To Find:
Find the mode of the data
Given:
A mode is defined as the highest number of times a value has come in a data set which also is said as the highest frequency of the value.
For example, in 2,2,2,3,3
the mode of the data will be 2 as it has come 3 times.
The mode gives the central tendency of the data. There can be different types of mode depending on the number of modes the data has as if the data 2 is modes then it is bimodal and if it has 3 modes then trimodal
For more than 3 modes it is said to be multimodal
In here 1, 3, 4, and 5 repeats 3 times so all these will be the modes of the data.
Hence, the data is multimodal which are 1,3,4,5.