SOLUTION: The median of 5 natural numbers is 8, the mean of the set is 7 and the mode of the set is 10. What is the largest possible value that the range of the set can have? Thankyou fo

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Question 140298: The median of 5 natural numbers is 8, the mean of the set is 7 and the mode of the set is 10. What is the largest possible value that the range of the set can have?
Thankyou for your help. Danielle..
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the median (middle value) is 8, so there are two numbers above 8 and two numbers below 8

the mode (most frequent value) is 10, so the two numbers above 8 must be 10's

the mean (average) is 7, so the sum of the 5 numbers is 7*5 or 35

the 8 plus the 10's sum to 28, so the sum of the 2 numbers below 8 is 35-28 or 7

the numbers 0 and 7 give the largest range (0 to 10)