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one sample: 1, 2, 3, 3, 4, 5

another sample: -5, -2, 3, 3, 8, 11

These two samples have the same mean, median and mode. It's easy to make some of the elements of the samples different and keep the mean and median the same. However, since the mode is a most frequently observed value it has to be common to both samples. So to achieve a common mode some of the observed values must be the same.

Q: Can two sets of data consist of different numbers but have the same mean median and mode?

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the median and mode are but the mean is not

mean~ all the numbers in the data added together divided by the number of data. The mean is the same as the average. median~ the exact middle of the set of data. Example: 1,1,2,2, the median is 1.5 mean- the average median- the middle number in a set of numbers in a group.Example of Median-1,3,5,7,9,4,5 (put them in order and list them from least to greatest)1,3,4,5,5,7,9the median is 5!

mean~ all the numbers in the data added together divided by the number of data. The mean is the same as the average. median~ the exact middle of the set of data. Example: 1,1,2,2, the median is 1.5 mean- the average median- the middle number in a set of numbers in a group.Example of Median-1,3,5,7,9,4,5 (put them in order and list them from least to greatest)1,3,4,5,5,7,9the median is 5!

No, it is not necessarily true that the median is always one of the data points in a set of data. The median is found by arranging the data in numerical order and selecting the middle value. This value might be one of the data points, but it could also be the average of two data points if there is an even number of values in the set.

When there are an even number of data items, there are two numbers in the middle.In this case the median is the mean average of the middle two numbers.

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The range of a data set is the difference between the largest and smallest number in your set of data. Median is the number that comes in the middle. 54, 55, 56 has a range of 54-56 and a median of 55. The set 53, 55, 57 has a median of 55 also!

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(10,10,30,30,30,50,50) (20,20,30,30,30,40,40) These two sets have the same mean, median and mode.

You then add the two middle ones and divide by two to get the median. If the numbers are the same then that is your median.

the median and mode are but the mean is not

mean~ all the numbers in the data added together divided by the number of data. The mean is the same as the average. median~ the exact middle of the set of data. Example: 1,1,2,2, the median is 1.5 mean- the average median- the middle number in a set of numbers in a group.Example of Median-1,3,5,7,9,4,5 (put them in order and list them from least to greatest)1,3,4,5,5,7,9the median is 5!

No. Not necessarily. Here are two examples with a smaller set of numbers: A) 1, 2, 3, 4 Mean: 10/4 = 2.5 Median: the mean of the two central elements - also 2.5. B) 1, 2, 3, 394 Mean: 400 / 4 = 100 Median: the mean of the two central elements = 2.5. You can extend the same principle - of having numbers on side of the center farther from the center than the numbers on the other side - to get a different mean and median, for sets of just about any size.

No, it is not necessarily true that the median is always one of the data points in a set of data. The median is found by arranging the data in numerical order and selecting the middle value. This value might be one of the data points, but it could also be the average of two data points if there is an even number of values in the set.

For an even number of values, there will be 2 middle numbers. Take the average of the 2 middle numbers for the median. It will be a value not in the data set.

When there are an even number of data items, there are two numbers in the middle.In this case the median is the mean average of the middle two numbers.

It is possible for two sets of data - not ALL of which are the same - to have the same measures of central tendency. However, if the two sets do have a mode, then that number must appear in both sets ... several times.