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It's a bit difficult to answer the question as asked, though it's fairly easy to give specific cases where it is true.
One (although not the only) example would be when the data consist of a single value. If your dataset is (2, 2, 2, 2, 2) then the median, the mode, and the mean are all 2.
Another example that's a bit less trivial is (1, 2, 2, 2, 3) where again the median, the mode, and the mean are all 2.
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∙ 13y ago
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How are the mode and median the same?
Mean, median, and mode are all equal in a normal distribution.
Is it possible to have the same mean median and mode?
Yes.
Is it possible to have the mean median and mode the same number?
Yes, you can if you have 3 of the same number. For example, 33, 33, 33. Your mean, median and mode will be 33 for all the them.
In a normally distributed data set which is greater mean median or mode?
In a normal distribution the mean, median and mode are all the same value.
Are the mean mode median are same in normal distribution?
Yes.
How are the mode and median the same?
Mean, median, and mode are all equal in a normal distribution.
How can two data sets with different numbers have the same mean median and mode?
(10,10,30,30,30,50,50) (20,20,30,30,30,40,40) These two sets have the same mean, median and mode.
What is the relation between mean median and mode?
In a symmetric distribution, the mean and the median are the same. Otherwise there is no relation. In symmetric distributions with only one mode, the mode will coincide with the mean and median, but otherwise there is no relation.
Is it possible to have the same mean median and mode?
Yes.
In a normally distributed data set which is greater mean median or mode?
In a normal distribution the mean, median and mode are all the same value.
Is it possible to have the mean median and mode the same number?
Yes, you can if you have 3 of the same number. For example, 33, 33, 33. Your mean, median and mode will be 33 for all the them.
Who discovered the mean median and mode?
who discovered mean median and mode
What is the distribution when the mean median and mode are the same?
The normal distribution.
Are the mean mode median are same in normal distribution?
Yes.
There are 5 single digit number there mean median and mode are the same what are the numbers?
They could all be the same number, e.g. 55555 (mean=median=mode=5) or they could be three numbers the same, with an equal space between the first two and the last two, e.g. 24446 (mean=median=mode=4). For the mode to be well-defined, some of the numbers have to be the same.
Find 5 numbers that have the same Mean Median and Mode?
1,2,2,2,3
In a normal distribution you will always know that?
The mean is the same as the mode and median.
