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3 January, 23:18

You can only use the numbers; 0, 1, 2, 2.5, 3, 7, 7.5, 9, and 10 to answer the following questions

1. List five numbers with a mean of 5 and a median of 2.5

2. If a list of five numbers has a mean of 5, what is the largest median that this set of data can have?

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  1. 3 January, 23:33
    0
    1. no answer

    2. medium=3

    Step-by-step explanation:

    1. Set the five number a, b, 2.5, c, d (median=2.5)

    mean=5 = > a+b+2.5+c+d=5*5=25

    because c=2.5, so 7.5 must be d or e

    =>a+b + (d or e) = 25-2.5-7.5=15

    (0,1, 2, 3, 7, 9, 10) only 2,3,10 can make it,

    but 2, 2.5, 3, 7.5, 10 won't make 2.5 the medium

    so, there no answer

    2. make it a, b, c, d, e

    mean=5 = > a+b+c+d+e=5*5=25 (odd)

    even (0,2,10) odd (1,3,7,9) and (2.5, 7.5)

    odd+odd=even

    odd=odd+even+even+even+even (not fit, only 3 even)

    or odd + odd+odd+even+even (1,2,3,9,10)

    or odd+odd+odd+odd+odd (not fit, only 4 odd)

    or. odd+odd+odd+2.5+7.5 (not fit, sum of 3 odd = 15)

    or. odd even+enen+2.5+7.5 (2, 2.5, 3, 7.5, 10)

    2, 2.5, 3, 7.5, 10, medium=3

    1,2,3,9,10, medium=3

    so the largest medium = 3
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