9514 1404 393
Answer:
49
Step-by-step explanation:
The sum of 5 numbers that have an average of 30 is ...
sum = 5×30 = 150
The numbers below the median need to be as small as possible, so that the remaining numbers can be as large as possible. If the two numbers below the median are both 1, then the sum of the remaining 3 must be ...
150 -1 -1 = 148
The median will be as large as possible when the least of the remaining three numbers is as large as possible. That will be the case when those three numbers are all the same.
148/3 = 49.333...
Since the numbers must be integers, the possible values for the high three numbers are 49, 49, 50.
In the set {1, 1, 49, 49, 50}, the mean is 30 and the median is 49. This value is the largest possible median for this set.
