Program for International Student Assessment (PISA): 2012 Results -Mathematics Literacy: Proficiency Levels

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Mathematics Literacy: Proficiency Levels

Overall

Table M1. Percentage distribution of 15-year-old students on PISA mathematics literacy scale, by proficiency level and education system: 2012
Education system	Below level 1			Level 1		Level 2		Level 3		Level 4			Level 5			Level 6
Education system	Percent		*s.e.*	Percent	*s.e.*	Percent	*s.e.*	Percent	*s.e.*	Percent		*s.e.*	Percent		*s.e.*	Percent		*s.e.*
OECD average	8.0		0.12	15.0	0.13	22.5	0.15	23.7	0.15	18.1		0.14	9.3		0.11	3.3		0.08
Albania	32.5		1.03	28.1	0.97	22.9	0.91	12.0	0.92	3.6		0.35	0.8		0.20	‡		†
Argentina	34.9		1.95	31.6	1.22	22.2	1.36	9.2	0.88	1.8		0.35	0.3	!	0.10	‡		†
Australia	6.1		0.35	13.5	0.57	21.9	0.76	24.6	0.65	19.0		0.50	10.5		0.43	4.3		0.36
Austria	5.7		0.59	13.0	0.74	21.9	0.87	24.2	0.84	21.0		0.90	11.0		0.75	3.3		0.41
Belgium	7.0		0.58	12.0	0.52	18.4	0.58	22.4	0.70	20.6		0.63	13.4		0.73	6.1		0.43
Brazil	35.2		0.93	31.9	0.70	20.4	0.67	8.9	0.47	2.9		0.35	0.7		0.19	‡		†
Bulgaria	20.0		1.45	23.8	0.95	24.4	1.12	17.9	0.91	9.9		0.83	3.4		0.50	0.7		0.19
Canada	3.6		0.28	10.2	0.45	21.0	0.64	26.4	0.62	22.4		0.49	12.1		0.47	4.3		0.29
Chile	22.0		1.35	29.5	1.01	25.3	1.00	15.4	0.78	6.2		0.60	1.5		0.21	0.1	!	0.04
Chinese Taipei	4.5		0.53	8.3	0.61	13.1	0.61	17.1	0.65	19.7		0.75	19.2		0.89	18.0		1.00
Colombia	41.6		1.71	32.2	1.05	17.8	0.90	6.4	0.61	1.6		0.28	0.3	!	0.10	‡		†
Costa Rica	23.6		1.68	36.2	1.22	26.8	1.29	10.1	0.99	2.6		0.46	0.5	!	0.16	‡		†
Croatia	9.5		0.74	20.4	1.02	26.7	0.95	22.9	1.12	13.5		0.80	5.4		0.76	1.6	!	0.51
Cyprus	19.0		0.58	23.0	0.65	25.5	0.62	19.2	0.58	9.6		0.44	3.1		0.25	0.6	!	0.20
Czech Republic	6.8		0.76	14.2	0.97	21.7	0.83	24.8	1.07	19.7		0.90	9.6		0.66	3.2		0.31
Denmark	4.4		0.49	12.5	0.70	24.4	0.97	29.0	1.03	19.8		0.69	8.3		0.57	1.7		0.32
Estonia	2.0		0.26	8.6	0.57	22.0	0.84	29.4	0.79	23.4		0.91	11.0		0.67	3.6		0.37
Finland	3.3		0.39	8.9	0.49	20.5	0.66	28.8	0.78	23.2		0.78	11.7		0.60	3.5		0.30
France	8.7		0.72	13.6	0.76	22.1	0.95	23.8	0.82	18.9		0.79	9.8		0.55	3.1		0.40
Germany	5.5		0.65	12.2	0.81	19.4	0.81	23.7	0.79	21.7		0.73	12.8		0.71	4.7		0.49
Greece	14.5		0.92	21.2	0.85	27.2	1.02	22.1	0.86	11.2		0.79	3.3		0.43	0.6		0.15
Hong Kong-China	2.6		0.36	5.9	0.61	12.0	0.77	19.7	0.97	26.1		1.09	21.4		0.96	12.3		0.95
Hungary	9.9		0.77	18.2	1.04	25.3	1.21	23.0	1.02	14.4		0.86	7.1		0.73	2.1		0.51
Iceland	7.5		0.54	14.0	0.83	23.6	0.89	25.7	0.95	18.1		0.79	8.9		0.61	2.3		0.35
Indonesia	42.3		2.14	33.4	1.59	16.8	1.12	5.7	0.90	1.5	!	0.54	‡		†	‡		†
Ireland	4.8		0.55	12.1	0.70	23.9	0.72	28.2	0.87	20.3		0.76	8.5		0.51	2.2		0.23
Israel	15.9		1.23	17.6	0.93	21.6	0.93	21.0	0.87	14.6		0.88	7.2		0.74	2.2		0.39
Italy	8.5		0.39	16.1	0.51	24.1	0.55	24.6	0.62	16.7		0.48	7.8		0.44	2.2		0.25
Japan	3.2		0.49	7.9	0.69	16.9	0.85	24.7	1.00	23.7		0.89	16.0		0.89	7.6		0.84
Jordan	36.5		1.59	32.1	0.95	21.0	1.04	8.1	0.63	1.8		0.33	‡		†	‡		†
Kazakhstan	14.5		0.90	30.7	1.40	31.5	0.95	16.9	1.11	5.4		0.79	0.9	!	0.27	‡		†
Korea, Republic of	2.7		0.46	6.4	0.62	14.7	0.85	21.4	0.99	23.9		1.23	18.8		0.92	12.1		1.26
Latvia	4.8		0.53	15.1	0.96	26.6	1.29	27.8	0.92	17.6		0.90	6.5		0.65	1.5		0.28
Liechtenstein	3.5	!	1.31	10.6	1.81	15.2	2.52	22.7	2.81	23.2		3.01	17.4		3.17	7.4		1.86
Lithuania	8.7		0.68	17.3	0.89	25.9	0.80	24.6	1.01	15.4		0.70	6.6		0.49	1.4		0.24
Luxembourg	8.8		0.54	15.5	0.54	22.3	0.72	23.6	0.72	18.5		0.58	8.6		0.38	2.6		0.25
Macao-China	3.2		0.29	7.6	0.53	16.4	0.71	24.0	0.69	24.4		0.87	16.8		0.63	7.6		0.35
Malaysia	23.0		1.19	28.8	1.12	26.0	0.95	14.9	0.93	6.0		0.69	1.2		0.28	0.1	!	0.05
Mexico	22.8		0.68	31.9	0.58	27.8	0.53	13.1	0.41	3.7		0.23	0.6		0.07	‡		†
Montenegro, Republic of	27.5		0.64	29.1	1.14	24.2	1.06	13.1	0.73	4.9		0.48	0.9		0.20	‡		†
Netherlands	3.8		0.57	11.0	0.93	17.9	1.08	24.2	1.19	23.8		1.11	14.9		0.99	4.4		0.56
New Zealand	7.5		0.58	15.1	0.66	21.6	0.83	22.7	0.76	18.1		0.84	10.5		0.75	4.5		0.40
Norway	7.2		0.78	15.1	0.88	24.3	0.84	25.7	1.01	18.3		0.96	7.3		0.56	2.1		0.30
Peru	47.0		1.79	27.6	0.88	16.1	1.00	6.7	0.68	2.1		0.38	0.5	!	0.20	‡		†
Poland	3.3		0.38	11.1	0.77	22.1	0.93	25.5	0.94	21.3		1.12	11.7		0.78	5.0		0.80
Portugal	8.9		0.79	16.0	0.98	22.8	0.88	24.0	0.84	17.7		0.88	8.5		0.73	2.1		0.33
Qatar	47.0		0.42	22.6	0.53	15.2	0.39	8.8	0.34	4.5		0.28	1.7		0.20	0.3		0.07
Romania	14.0		1.15	26.8	1.23	28.3	1.09	19.2	1.07	8.4		0.81	2.6		0.45	0.6	!	0.27
Russian Federation	7.5		0.70	16.5	0.80	26.6	0.99	26.0	0.97	15.7		0.78	6.3		0.64	1.5		0.31
Serbia, Republic of	15.5		1.16	23.4	0.93	26.5	1.12	19.5	1.03	10.5		0.69	3.5		0.52	1.1		0.31
Shanghai-China	0.8		0.21	2.9	0.46	7.5	0.64	13.1	0.77	20.2		0.83	24.6		1.04	30.8		1.24
Singapore	2.2		0.23	6.1	0.40	12.2	0.68	17.5	0.66	22.0		0.62	21.0		0.58	19.0		0.51
Slovak Republic	11.1		1.03	16.4	0.94	23.1	1.10	22.1	1.09	16.4		1.08	7.8		0.64	3.1		0.55
Slovenia	5.1		0.48	15.0	0.69	23.6	0.95	23.9	0.96	18.7		0.80	10.3		0.64	3.4		0.43
Spain	7.8		0.50	15.8	0.57	24.9	0.65	26.0	0.59	17.6		0.56	6.7		0.42	1.3		0.15
Sweden	9.5		0.68	17.5	0.76	24.7	0.92	23.9	0.78	16.3		0.69	6.5		0.49	1.6		0.25
Switzerland	3.6		0.35	8.9	0.59	17.8	1.06	24.5	1.02	23.9		0.80	14.6		0.78	6.8		0.69
Thailand	19.1		1.07	30.6	1.20	27.3	1.00	14.5	1.15	5.8		0.74	2.0		0.38	0.5	!	0.19
Tunisia	36.5		1.88	31.3	1.09	21.1	1.17	8.0	0.79	2.3		0.68	0.7	!	0.32	‡		†
Turkey	15.5		1.08	26.5	1.28	25.5	1.16	16.5	1.05	10.1		1.09	4.7		0.81	1.2	!	0.46
United Arab Emirates	20.5		0.92	25.8	0.81	24.9	0.69	16.9	0.64	8.5		0.54	2.9		0.25	0.5		0.11
United Kingdom	7.8		0.77	14.0	0.76	23.2	0.81	24.8	0.85	18.4		0.78	9.0		0.63	2.9		0.42
United States	8.0		*0.73*	17.9	*0.98*	26.3	*0.84*	23.3	*0.93*	15.8		*0.91*	6.6		*0.61*	2.2		*0.34*
Uruguay	29.2		1.20	26.5	0.76	23.0	0.93	14.4	0.87	5.4		0.60	1.3		0.28	‡		†
Vietnam	3.6		0.80	10.6	1.26	22.8	1.28	28.4	1.52	21.3		1.22	9.8		0.99	3.5		0.75

U.S. state education systems
Connecticut	6.8		1.18	13.8	1.33	20.0	1.28	24.3	1.36	18.6		1.79	11.5		1.46	4.9		0.83
Florida	9.7		1.44	20.6	1.87	27.9	1.42	23.0	1.64	13.0		1.34	4.9		1.04	0.9	!	0.39
Massachusetts	5.3		0.83	12.5	1.17	20.4	1.61	24.3	1.49	18.9		1.18	12.7		1.61	5.8		1.11
† Not applicable. ! Interpret data with caution. Estimate is unstable due to high coefficient of variation. ‡ Reporting standards not met. NOTE: To reach a particular proficiency level, a student must correctly answer a majority of items at that level. Students were classified into mathematics literacy levels according to their scores. Exact cut scores are as follows: below level 1 (a score less than or equal to 357.77); level 1 (a score greater than 357.77 and less than or equal to 420.07); level 2 (a score greater than 420.07 and less than or equal to 482.38); level 3 (a score greater than 482.38 and less than or equal to 544.68); level 4 (a score greater than 544.68 and less than or equal to 606.99); level 5 (a score greater than 606.99 and less than or equal to 669.30); and level 6 (a score greater than 669.30). Scores are reported on a scale from 0 to 1,000. The OECD average is the average of the national percentages of the OECD member countries, with each country weighted equally. Standard error is noted by s.e. Detail may not sum to totals because of rounding. Italics indicate non-OECD countries and education systems. Results for Connecticut, Florida, and Massachusetts are for public school students only. SOURCE: Organization for Economic Cooperation and Development (OECD), Program for International Student Assessment (PISA), 2012.