My Averages Question

My maths teacher mr Smy gave me a maths question, totally made up in his head, and told me to go away and try to work it out.

Question: If I have 5 numbers with Mean=9, mode=10, median=11. What are the numbers?

= 10,10,11,?,?

And i said it won't work because....

• you cant get a higher number than 11 to make 45 because it all ready adds up to 31
• if you add 12 to that it will equal 43 then you would need a 2 and the two can't go in front of the 10 beacuase the median will change.

Luxmi 7BN