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?

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