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Mathematics Literacy: Proficiency Levels


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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
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.

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National Center for Education Statistics - http://nces.ed.gov
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