# Write a set of data in which the mean is 15, the median is 15 and the modes are 13 & 15.

Try this set of data:

13 13 14 15 16 17 17

The mean = (13+13+14+15+16+17+17) 7 = 15

The median = The middle number = 15

The mode = the most occuring number = 13 and 17  since they occured 2 times each.

You can also add as much 13's and 17's as you want , the mean, median and mopde will remain the same.

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It looks to me like you all you need to remember is what mean, median and mode are.

The mean is just what you would call the average.  You take the sum of all the numbers in your data set and divide them by how many numbers there are.  You need that to come out to 15.  So, for example, if your set were 13, 14, 15, 16, 17 your mean would be 15.

Your median would also be 15 here because it is the number that is the halfway point of all the numbers in the data set when they are put in order.

A mode is the number that occurs most often in the data set.  So your set would have to have an equal number of 13s and 15s and no other number that occurred that many times.