Question

The mean of four positive integers is 5. The median of the four integers is 6.

What is the mean of the largest and smallest of the integers?
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Answer 1

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Answer:

4

Explanation:

The median of a data set with an even number of members is the average of the middle two. We are told that is 6. The average of the whole set of 4 integers will be the average of the averages of the middle two and the two others.

In other words, the average of 6 and the number you're looking for is 5. That means the number you're looking for is x, where ...

(x +6)/2 = 5

x +6 = 10

x = 4

The mean of the largest and smallest integers is 4.