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The mean, median, mode, and range of a collection of ten integers are all equal to 10.
What is the largest possible number that could be in this collection of integers?
Recall:
- The mean of a set of N numbers is the sum of the numbers divided by N.
- The median of a set of numbers is the middle number when the set is placed in order. If there are an even number of numbers in the set (as we have in this problem), the median is the mean of the two middle numbers.
- The mode of a set of numbers is the number that occurs most frequently in the set. While some sets can have multiple modes, in our example, 10 must occur more frequently than any other number in the set.
- The range of a set of numbers is the positive difference between the smallest and largest number in the set.
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