If the mean of 5 positive integer is 15, what the maximum possible difference between the largest and smallest of these 5 numbers.
Answers
Given : mean of 5 positive integers is 15
To find : maximum possible difference between the largest and the smallest of these 5 numbers
Solution:
mean of 5 positive integers is 15,
Sum of 5 numbers = 5 * 15 = 75
To have maximum possible Difference
one number should be be largest possible & all other should be Smallest
Smallest positive integer = 1
number can be 1 , 1 , 1 , 1 71
maximum possible difference between the largest and the smallest = 71 - 1 = 70
if each number Has to be different
then possible numbers
1 , 2 , 3 , 4 , 65
maximum possible difference between the largest and the smallest = 65 - 1 = 64
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