According to the definition I read, it came to my notice that the number with highest frequency has

rjawbreakerca

rjawbreakerca

Answered question

2022-07-09

According to the definition I read, it came to my notice that the number with highest frequency has to be a mode for a given data set, but then what if I have all the numbers as distinct... In that scenario we won't have a particular number having a frequency more than other elements in the data set... Now if I consider a case when we have 2 numbers in a dataset with same max number of occurrences like:
2 , 3 , 4 , 5 , 3 , 2
Here 2, 3 both happen to have same maximum frequency and thus we say there are 2 modes... The above is stated similar in case we have 3 modes or multi modes ... So if there are all distinct numbers then we would have each number having the same maximum frequency as 1 ..so we can say all the numbers are modes...for that dataset...But then I have seen on some websites claiming that such data sets have "NO MODE".

Answer & Explanation

Madden Luna

Madden Luna

Beginner2022-07-10Added 9 answers

We have three cases: unimodal, multimodal and no mode
unimodal _ : A statistical distribution of values with one peak.
Example: 5667. The mode is obviously 6.
multimodal _ : A statistical distribution of values with multiple peaks.
Example: 55677. The frequencies of 5 and 7 are 2. And we have a lower frequency of 6, which is 1. Thus the modes are 5 and 7.
no mode _ : A statistical distribution of values with no peaks. All values have the same frequency.
Example: 556677

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