To determine if the mean, median, and mode of a set of numbers are all the same, we need to analyze the specific values in the set. If the numbers are symmetrically distributed and there are no repeated values, the mean, median, and mode can be equal. However, in most cases, especially with skewed distributions or varied frequencies, they will differ. Without the specific set of numbers, we cannot definitively say whether they are all the same.
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.
seven (7,7,7,7,7,7,7)
Mean: 50.6 Median: 42 Range: 85 Mode: None (all numbers occur with same frequency)
Mean, median, and mode are all equal in a normal distribution.
Yes.
(10,10,30,30,30,50,50) (20,20,30,30,30,40,40) These two sets have the same mean, median and mode.
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.
1,2,2,2,3
seven (7,7,7,7,7,7,7)
No, in a normal distribution they are the same.
Have all the numbers be the same. Example: 2,2,2,2,2,2,2 Mean=2 Median=2 Mode=2 There's probably another way but you can figure it out just try.
Any set of numbers can have only one mean and only one median but it can have as many modes as it has values.
Mean: 50.6 Median: 42 Range: 85 Mode: None (all numbers occur with same frequency)
Mean, median, and mode are all equal in a normal distribution.
The mean, median, and mode of a single number is that same number. Note that terms such as "mean" and "median" are usually only interesting for a larger set of numbers.
The median and mode of any number is the same number. The mode of 5 is 5, as is the median of 5. In other words, you need two or more numbers to determine the median and mode of those numbers.
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.