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    A group of five numbers are such that their mean is 0 and their range is 20. What is the largest possible median of the five numbers?
    A-0
    B-4
    C-4.5
    D-6.5
    E-8
    F-20
    The answers supposed to be E and I don't really know where to start with this
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    (Original post by selenacxoxo)
    A group of five numbers are such that their mean is 0 and their range is 20. What is the largest possible median of the five numbers?
    A-0
    B-4
    C-4.5
    D-6.5
    E-8
    F-20
    The answers supposed to be E and I don't really know where to start with this
    As it's looking for the largest, I would start with the largest answer and work backwards.

    If the median is 20, that implies there are two numbers greater than or equal to 20 so even the best case (20,20,20 for the 3 highest numbers and 0, 0) would not give you a mean of 0. By best case I mean getting the mean as close to 0 as possible whilst satisfying the conditions.
    Moving onto 8, again, the 'best case' is having the highest three numbers as 8,8,8.. and with a range of 20 you can then say the lowest number is ...




    There may be a more elegant way of doing it but :dontknow:
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    Ohhhhh I didn't think of doing it like that, thanks for the help 😊
 
 
 
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