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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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Q: How is it possible for two sets of data to consist of different numbers but have the same mean the same median the same mode?
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Is the mean equal to the median if the data set consist of 1000 values that are all different?

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.


What is a set of 5 positive numbers that have median 6 and mean 10?

There can be any number of sets to satisfy this. The median is the number in the middle and the mean is the average of the numbers. 2,4,6,8,30 is one possible set median = 6 mean = 10


What is the median if you have ten numbers?

6 is the median of 10 numbers


Here is the histogram of a data distribution The classes all consist of just one number the class width is 1 Which of the following numbers is the median of this distribution?

4


How do you find out a median of a set of numbers?

If you order the numbers from the higher to the lowest, the median is the number separating the lower half of the numbers from the higher half of the numbers in the set. If you have an odd number of elements in the set then the median is in the middle of this descending ordered numbers. If you have an even number of elements then, in order to determine the median, you calculate the mean of the two middle values.

Related questions

How do find the median with 4 different numbers?

There would be no median.


Can you have a median of 0?

If you have a list of positive and negative numbers then it is possible that the median would be 0.


Is it possible for two sets of data to consist of different numbers but have the same mean the same median and the same mode?

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.


What do you do when you have 2 numbers in the middle for median?

If they are the same numbers, it is that number if they are 2 different numbers, the median is the average of those 2 numbers ( the number directly in the middle of the 2 numbers )


What 6 numbers have a median of 5?

5,5,5,5,5,5 is one possible set.


Seven nonnegative numbers have a mean of 24 What is the largest possible value for the median of the numbers?

42.


How do you find the median when two numbers are in the middle?

If the two numbers are that same in the middle than the median is that number.However if the two numbers are different then you just find the average of those two numbers.


What is the median of 59.291.074.832.6?

It is not possible to answer the question because the numbers are all run together.


The mean of 5 different scores is 10 what are the largest and smallest possible values for the median if all test scores must be whole numbers?

If scores of zero are permitted, the lowest median is 2 as in (0,1,2,3,44) and the highest median is 10 as in (8,9,10,11,12). If a zero score is not permitted, then the lowest median is 3 as in (1,2,3,4,40).


Is it possible for the median of a set of four numbers to be one of the numbers in the set?

Yes, it would be in the middle of the middle two


What is a set of 5 positive numbers that have median 6 and mean 10?

There can be any number of sets to satisfy this. The median is the number in the middle and the mean is the average of the numbers. 2,4,6,8,30 is one possible set median = 6 mean = 10


Is the mean equal to the median if the data set consist of 1000 values that are all different?

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.