there is none in this case
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The mean of those seven numbers is (5 + 9 + 6 + 6 + 11 + 8 + 4)/7 = 7 The median of those seven numbers is 6. The mode of those numbers - the only number which appears more than once - is 6.
The modes is the number which occurs most often. The range is the biggest number - the smallest number. The only way to have a mode of 10 and a range of 8, is to have the two numbers be 10 and 2. The numbers are different so each is a mode and the range is 10-2-8. Note, 2 is also a mode in the set {2,10}.
Any set of numbers can have only one mean and only one median but it can have as many modes as it has values.
The mean is the average of the numbers when they are added together and divided by the total numbers given. For example, start with the numbers 1, 3, 5, 7, 9. Add them together to get 25. Divide by 5 because that is how many numbers are listed. The mean is 5. The median is the number in the middle. In this case, the 5 is in the middle, so it is the median. If these numbers, 1, 3, 5, 7 were listed, none of them are exactly in the middle, so the median would be the average of 3 and 5, or 4. The mode is the number that appears the most often. In this case, each number appears only once, so there is no mode. If these numbers were listed, 4. 5, 5, 6, 7, 7. 7 were listed, 7 occurs the most, so it would be the mode. If two or more numbers are listed more than once the same amount of times, the numbers listed the same amount of times are the modes. For example: 4, 5, 5, 5, 6, 7, 7, 7: both 5 and 7 would be the modes.
Yes, but only if the data set includes some negative numbers. For example, recording winter temperatures at the South Pole. They will all be negative (or most of them will be) so the mode and the median will be negative as well.