Ranking and order
Use one consistent formula and a simple line diagram to avoid double-counting positions.
Convert ranks#
If a learner is 7th from the top and 12th from the bottom, total learners are 7 + 12 - 1 = 18. Subtract one because the same learner was counted in both ranks.
Relative order#
Draw a line and place relationships one at a time. If A is ahead of B and B is ahead of C, then A is ahead of C. If distances or positions are provided, mark them explicitly.
Find a new rank#
If the total is known, bottom rank = total - top rank + 1. The same formula works for left and right positions.
Common mistakes#
Forgetting the minus one produces a total that is too large. Do not treat “ahead of” as a fixed number of places unless stated. Tied ranks can change later positions and cannot be solved with ordinary unique-position formulas without a convention.
Final check#
Write the direction beside every rank, mark the person or object once on a line, and test whether the two directional counts reconstruct the total.
Key points
- Total items equal top rank plus bottom rank minus one.
- The ranked item is counted in both directions before correction.
- Relative statements should be placed on one consistent line.
- Ties require special handling and must be stated.