(10,10,30,30,30,50,50) (20,20,30,30,30,40,40) These two sets have the same mean, median and mode.
Yes, it is. One easy way for this to happen is if every number in a data set is the same: then it's the mean, median, and mode at the same time. That's not the only way for it to happen, of course. For example, if the data set is 1, 2, 2, 3 then the mean, median, and mode is 2.
They quick answer is YES!Here is an example.Before we begin let quickly recap what the we mean by "mean", "median", "mode" and "range":[MEAN] - The sum of all the values, divided by the total number of values.[MEDIAN] - The middle value when the data is arranged in numerical order.[MODE] - The most common value in a data set.[RANGE] - The difference between the highest and lowest values in the set.If we had the following numbers 1, 2, 2, 2, 3,The [MEAN] would be: TWO= 1+2+2+2+3/5 = 10/5 = (2)The [MEDIAN] would be: TWO= 1 2 (2) 2 3 = (2)The [MODE] would be: TWOThe most common value is (2)The [RANGE] would be: TWOrange = (highest - lowest) = (3-1) = (2)Therefore; Mean, Median, Mode and Range = (2)So the Mean, Median, Mode and Range can all be the same number![Answered by F:A:W:B:Y] - (As always, glad to help)
they measure the same
yes it can. Imagine the set 1,1,1,1,1,1,1,1,1,1 well, the mode is obviously 1. there are ten 1s and 10*1/10=1 so the mean is one the median would be (1+1)/2=1 so the data has the same mean, medain and mode.
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.
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.
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.
Mean, median, and mode are all equal in a normal distribution.
Your single number is your only information of the median value of the population, so the median value is the same as your single number. It is also the mode and mean of your sample.
(10,10,30,30,30,50,50) (20,20,30,30,30,40,40) These two sets have the same 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.
Have only one number in your data set. Because the range would take the highest and lowest numbers, the only way for the range to be all the same number is if you have only number in the set. With only one number, the mean, median, and mode will all be the same number as well.
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.
Yes.
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Yes, it is. One easy way for this to happen is if every number in a data set is the same: then it's the mean, median, and mode at the same time. That's not the only way for it to happen, of course. For example, if the data set is 1, 2, 2, 3 then the mean, median, and mode is 2.