Solution

Unequal Averages Carson

Problem / game
Unequal Averages Back to problem
First name
Carson
School
harrow international school hong hk
Country
Hong Kong
Age
10
  1. 3,6,6,6,9 has 6 as the range, mode, median, and mode.
  2. Mode < Median < Mean: Going extreme: 1,1,98,99,100
  3. Mode < Mean < Median: Trial and error: 1,1,5,6,7
  4. Mean < Mode < Median: n/a
  5. Mean < Median < Mode: n/a
  6. Median < Mode < Mean: n/a
  7. Median < Mean < Mode: Going extreme: 5,6,7,99,99
  8. How is mean the lowest?! Also, some are just too crazy to describe.
  9. Mode < Median < Mean:1,1,9,99
  10. All median related problems are solved because it is the mean of the two “medians.” Also, the lack of numbers problem can also be solved with six numbers.