IMC 2002 statistics — difficulty & discrimination

Studolymp / IMC / 2002

IMC 2002

contestants

182

problems

12 (6+6)

score scale

0–20

per-problem results

yes

Notes on this edition’s data

Scored on a 20-point scale this era (8/16 = solved).

Per-problem difficulty

Day 1

Day 2

Difficulty vs discrimination

Each dot is one problem. X — how many solved it (scored ≥ 8 of 10); Y — discrimination, i.e. how well the problem told strong contestants from weak ones (score-vs-total correlation).

A good problem sits high and away from the edges. Bottom-left dots separated nobody — almost everyone failed them the same way.

Problem statistics

Same data as the Day 1 / Day 2 charts above.

	#	difficulty	avg	solved	near-0	disc	topics
Day 1
	P1	easy	8.2	77%	11%	0.34	geometry polynomials
	P2	medium	6.2	49%	16%	0.53	functional equations real analysis
	P3	medium	4.4	41%	49%	0.41	combinatorics sequences & series
	P4	hard	3.5	25%	38%	0.50	real analysis topology & metric spaces
	P5	killer	3.1	4%	44%	0.58	real analysis set theory & logic
	P6	killer	0.2	2%	98%	0.21	linear algebra inequalities
Day 2
	P7	easy	8.8	85%	5%	0.31	linear algebra
	P8	easy	8.0	76%	14%	0.47	combinatorics
	P9	easy	5.6	51%	38%	0.48	sequences & series number theory
	P10	very hard	2.0	7%	66%	0.59	geometry inequalities
	P11	killer	1.9	4%	20%	0.36	linear algebra
	P12	killer	0.1	0%	99%	0.16	real analysis inequalities

Field cohort = total ≥ 6 points; difficulty is computed live by the API. Discrimination is the corrected item–total correlation.