Mode of 1,1,2,2: Is it 1, 2, Both, or None?

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In summary, The mode (modus) of the dataset 1,1,2,2 is bimodal, with both 1 and 2 being modal values. The mean is 1.5 and the median is also 1.5. The two 1s and 2s merged to form a single 1 and 2 for the speaker, and they thank Curious for clarifying the concept of mode.
  • #1
r4nd0m
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what is the mode (modus) of 1,1,2,2
I was checking the definition but it didn't count with two maximums.
So is it 1,5 or both 1 and 2, or none of them?
 
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  • #2
This dataset is bimodal, in otherwords it has two modal values. 1 and 2 are both modal values.

~H
 
  • #3
I thought mode was that event or observation that occurred most frequently.
In this case since the frequencies are not given (assumed to be 1), all the elements should be modes right ?
Or are you talking of median (middlemost value in magnitude) ?
 
  • #4
arunbg said:
I thought mode was that event or observation that occurred most frequently.
In this case since the frequencies are not given (assumed to be 1), all the elements should be modes right ?
Or are you talking of median (middlemost value in magnitude) ?

But the '1' events are identical, as are the '2' events. They each occur with a frequency of two. So this distribution with N=4 is bimodal with '1' and '2' occurring with an equal frequency.

The mean is 1.5 and the median is the arithmetic mean of 1 and 2, which is also 1.5
 
  • #5
Somehow the two 1s and 2s merged and formed a sigle 1 and 2 for me.
Gotta get my eyes checked.
Thanks for the clarification Curious.
 

FAQ: Mode of 1,1,2,2: Is it 1, 2, Both, or None?

What is the mode of the numbers 1, 1, 2, 2?

The mode is the value that appears most frequently in a set of data. In this case, the mode is 1 and 2 because they both appear twice. Therefore, the mode is both 1 and 2.

How do you determine the mode of a set of numbers?

To determine the mode, you need to count how many times each number appears in the set. The number with the highest frequency is the mode. In this case, both 1 and 2 have the same frequency, so the mode is both 1 and 2.

Why is the mode important in data analysis?

The mode is important because it gives us a sense of the most common value or values in a set of data. It can also help us identify any outliers or unusual values in the data set.

Can there be more than one mode in a set of data?

Yes, there can be more than one mode in a set of data if multiple values appear with the same frequency. In this case, the mode is both 1 and 2 because they have the same frequency of two.

What if no number appears more than once in a set of data?

If no number appears more than once, then there is no mode. This means that all the values in the set are unique and there is no most frequently occurring value.

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