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Table 404. | Mean scores and percentage distribution of 15-year-olds scoring at each mathematics literacy proficiency level, by country: 2006 |
Country or other jurisdiction | Mean score | Percentage distribution at levels of proficiency1 | ||||||||||||||
Below level 1 | Level 1 | Level 2 | Level 3 | Level 4 | Level 5 | Level 6 | ||||||||||
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | ||||||||
OECD total2 | 484 | (1.2) | 10.2 | (0.35) | 16.2 | (0.31) | 23.2 | (0.40) | 22.8 | (0.40) | 16.7 | (0.29) | 8.3 | (0.21) | 2.6 | (0.10) |
OECD average3 | 498 | (0.5) | 7.7 | (0.14) | 13.6 | (0.15) | 21.9 | (0.17) | 24.3 | (0.16) | 19.1 | (0.16) | 10.0 | (0.12) | 3.3 | (0.09) |
Australia | 520 | (2.2) | 3.3 | (0.28) | 9.7 | (0.41) | 20.5 | (0.62) | 26.9 | (0.57) | 23.2 | (0.54) | 12.1 | (0.48) | 4.3 | (0.47) |
Austria | 505 | (3.7) | 7.5 | (0.95) | 12.5 | (1.09) | 19.5 | (1.06) | 23.3 | (0.90) | 21.3 | (1.12) | 12.3 | (0.79) | 3.5 | (0.50) |
Belgium | 520 | (3.0) | 7.1 | (0.85) | 10.2 | (0.71) | 17.0 | (0.69) | 21.4 | (0.67) | 21.9 | (0.79) | 16.0 | (0.68) | 6.4 | (0.40) |
Canada | 527 | (2.0) | 2.8 | (0.29) | 8.0 | (0.52) | 18.6 | (0.65) | 27.5 | (0.73) | 25.1 | (0.66) | 13.6 | (0.58) | 4.4 | (0.37) |
Czech Republic | 510 | (3.6) | 7.2 | (0.72) | 11.9 | (0.84) | 20.5 | (0.99) | 23.0 | (0.92) | 19.1 | (1.06) | 12.3 | (0.75) | 6.0 | (0.67) |
Denmark | 513 | (2.6) | 3.6 | (0.54) | 10.0 | (0.67) | 21.4 | (0.78) | 28.8 | (0.88) | 22.5 | (0.85) | 10.9 | (0.58) | 2.8 | (0.39) |
Finland | 548 | (2.3) | 1.1 | (0.21) | 4.8 | (0.53) | 14.4 | (0.70) | 27.2 | (0.73) | 28.1 | (0.83) | 18.1 | (0.76) | 6.3 | (0.50) |
France | 496 | (3.2) | 8.4 | (0.82) | 13.9 | (1.00) | 21.4 | (1.16) | 24.2 | (1.01) | 19.6 | (0.95) | 9.9 | (0.67) | 2.6 | (0.47) |
Germany | 504 | (3.9) | 7.3 | (1.01) | 12.5 | (0.80) | 21.2 | (1.13) | 24.0 | (1.07) | 19.4 | (0.90) | 11.0 | (0.78) | 4.5 | (0.50) |
Greece | 459 | (3.0) | 13.3 | (1.10) | 19.0 | (1.19) | 26.8 | (0.94) | 23.2 | (1.12) | 12.6 | (1.05) | 4.2 | (0.47) | 0.9 | (0.17) |
Hungary | 491 | (2.9) | 6.7 | (0.56) | 14.5 | (0.80) | 25.1 | (1.01) | 26.5 | (0.94) | 16.9 | (1.07) | 7.7 | (0.72) | 2.6 | (0.47) |
Iceland | 506 | (1.8) | 5.1 | (0.41) | 11.7 | (0.68) | 22.3 | (0.88) | 26.6 | (1.00) | 21.7 | (0.88) | 10.1 | (0.65) | 2.5 | (0.32) |
Ireland | 501 | (2.8) | 4.1 | (0.50) | 12.3 | (0.93) | 24.1 | (1.00) | 28.6 | (0.90) | 20.6 | (0.94) | 8.6 | (0.67) | 1.6 | (0.25) |
Italy | 462 | (2.3) | 13.5 | (0.72) | 19.3 | (0.69) | 25.5 | (0.75) | 22.1 | (0.67) | 13.3 | (0.56) | 5.0 | (0.36) | 1.3 | (0.27) |
Japan | 523 | (3.3) | 3.9 | (0.59) | 9.1 | (0.71) | 18.9 | (0.89) | 26.1 | (1.00) | 23.7 | (1.03) | 13.5 | (0.79) | 4.8 | (0.51) |
Korea, Republic of | 547 | (3.8) | 2.3 | (0.52) | 6.5 | (0.71) | 15.2 | (0.69) | 23.5 | (1.07) | 25.5 | (0.99) | 18.0 | (0.78) | 9.1 | (1.29) |
Luxembourg | 490 | (1.1) | 8.3 | (0.55) | 14.5 | (0.67) | 23.2 | (0.72) | 25.2 | (0.83) | 18.2 | (1.02) | 8.2 | (0.54) | 2.3 | (0.28) |
Mexico | 406 | (2.9) | 28.4 | (1.37) | 28.1 | (0.88) | 25.2 | (0.85) | 13.1 | (0.64) | 4.3 | (0.40) | 0.8 | (0.19) | 0.1 | (0.04) |
Netherlands | 531 | (2.6) | 2.4 | (0.61) | 9.1 | (0.82) | 18.9 | (0.94) | 24.3 | (0.88) | 24.1 | (1.06) | 15.8 | (0.76) | 5.4 | (0.64) |
New Zealand | 522 | (2.4) | 4.0 | (0.32) | 10.0 | (0.79) | 19.5 | (0.99) | 25.5 | (1.13) | 22.1 | (1.02) | 13.2 | (0.75) | 5.7 | (0.50) |
Norway | 490 | (2.6) | 7.3 | (0.73) | 14.9 | (0.97) | 24.3 | (0.81) | 25.6 | (1.01) | 17.4 | (0.85) | 8.3 | (0.74) | 2.1 | (0.25) |
Poland | 495 | (2.4) | 5.7 | (0.42) | 14.2 | (0.70) | 24.7 | (0.80) | 26.2 | (0.69) | 18.6 | (0.78) | 8.6 | (0.67) | 2.0 | (0.29) |
Portugal | 466 | (3.1) | 12.0 | (1.05) | 18.7 | (0.87) | 25.1 | (0.90) | 24.0 | (0.92) | 14.4 | (0.81) | 4.9 | (0.45) | 0.8 | (0.20) |
Slovak Republic | 492 | (2.8) | 8.1 | (0.72) | 12.8 | (0.86) | 24.1 | (1.03) | 25.3 | (0.97) | 18.8 | (0.87) | 8.6 | (0.69) | 2.4 | (0.41) |
Spain | 480 | (2.3) | 8.6 | (0.52) | 16.1 | (0.85) | 25.2 | (0.94) | 26.2 | (0.61) | 16.8 | (0.54) | 6.1 | (0.43) | 1.2 | (0.18) |
Sweden | 502 | (2.4) | 5.4 | (0.60) | 12.9 | (0.83) | 23.0 | (0.82) | 26.0 | (0.97) | 20.1 | (0.89) | 9.7 | (0.61) | 2.9 | (0.37) |
Switzerland | 530 | (3.2) | 4.6 | (0.49) | 9.0 | (0.60) | 17.4 | (0.96) | 23.2 | (0.82) | 23.2 | (0.91) | 15.9 | (0.72) | 6.8 | (0.63) |
Turkey | 424 | (4.9) | 24.0 | (1.37) | 28.1 | (1.35) | 24.3 | (1.25) | 12.8 | (0.80) | 6.7 | (0.95) | 3.0 | (0.77) | 1.2 | (0.55) |
United Kingdom | 495 | (2.1) | 5.9 | (0.60) | 13.8 | (0.70) | 24.7 | (0.79) | 26.3 | (0.71) | 18.1 | (0.60) | 8.7 | (0.48) | 2.5 | (0.27) |
United States4 | 474 | (4.0) | 9.9 | (1.15) | 18.2 | (0.91) | 26.1 | (1.21) | 23.1 | (1.09) | 15.1 | (0.99) | 6.4 | (0.66) | 1.3 | (0.24) |
Reporting partner economies | ||||||||||||||||
Argentina | 381 | (6.2) | 39.4 | (2.72) | 24.7 | (1.46) | 20.4 | (1.66) | 10.6 | (1.05) | 3.8 | (0.56) | 0.9 | (0.31) | 0.1 | (0.11) |
Azerbaijan | 476 | (2.3) | 0.2 | (0.10) | 10.4 | (0.99) | 47.6 | (1.64) | 34.4 | (1.59) | 6.6 | (0.86) | 0.6 | (0.26) | 0.2 | (0.13) |
Brazil | 370 | (2.9) | 46.6 | (1.40) | 25.9 | (1.25) | 16.6 | (0.90) | 7.1 | (0.58) | 2.8 | (0.42) | 0.8 | (0.25) | 0.2 | (0.10) |
Bulgaria | 413 | (6.1) | 29.4 | (2.18) | 23.9 | (1.12) | 22.0 | (1.04) | 14.9 | (1.08) | 6.7 | (0.82) | 2.5 | (0.57) | 0.6 | (0.28) |
Chile | 411 | (4.6) | 28.2 | (1.94) | 26.9 | (1.20) | 23.9 | (1.14) | 13.9 | (1.03) | 5.6 | (0.71) | 1.3 | (0.34) | 0.1 | (0.07) |
Colombia | 370 | (3.8) | 44.6 | (1.76) | 27.3 | (1.13) | 18.2 | (1.27) | 7.6 | (0.67) | 1.9 | (0.44) | 0.4 | (0.18) | # | (†) |
Croatia | 467 | (2.4) | 9.3 | (0.69) | 19.3 | (0.92) | 28.9 | (1.06) | 24.3 | (0.86) | 13.6 | (0.67) | 4.0 | (0.47) | 0.8 | (0.21) |
Estonia | 515 | (2.7) | 2.7 | (0.46) | 9.4 | (0.82) | 21.9 | (0.91) | 30.2 | (1.01) | 23.3 | (1.11) | 10.0 | (0.63) | 2.6 | (0.36) |
Hong Kong-China | 547 | (2.7) | 2.9 | (0.45) | 6.6 | (0.63) | 14.4 | (0.84) | 22.7 | (1.07) | 25.6 | (0.90) | 18.7 | (0.78) | 9.0 | (0.82) |
Indonesia | 391 | (5.6) | 35.2 | (2.21) | 30.5 | (1.58) | 20.4 | (0.99) | 10.6 | (2.04) | 2.8 | (0.74) | 0.4 | (0.16) | # | (†) |
Israel | 442 | (4.3) | 22.2 | (1.54) | 19.8 | (1.01) | 21.8 | (1.03) | 18.4 | (0.93) | 11.8 | (0.76) | 4.8 | (0.54) | 1.3 | (0.24) |
Jordan | 384 | (3.3) | 36.9 | (1.44) | 29.4 | (1.00) | 21.9 | (0.91) | 9.3 | (0.79) | 2.2 | (0.41) | 0.2 | (0.13) | # | (†) |
Kyrgyzstan | 311 | (3.4) | 72.9 | (1.54) | 16.5 | (1.01) | 7.1 | (0.65) | 2.8 | (0.46) | 0.7 | (0.22) | # | (†) | # | (†) |
Latvia | 486 | (3.0) | 6.4 | (0.62) | 14.3 | (0.92) | 26.3 | (0.90) | 29.0 | (0.96) | 17.4 | (1.05) | 5.5 | (0.49) | 1.1 | (0.28) |
Liechtenstein | 525 | (4.2) | 4.0 | (1.10) | 9.2 | (1.98) | 18.2 | (2.97) | 26.4 | (3.78) | 23.7 | (2.92) | 12.6 | (2.05) | 5.8 | (1.21) |
Lithuania | 486 | (2.9) | 7.8 | (0.64) | 15.2 | (0.77) | 25.1 | (0.97) | 25.1 | (1.06) | 17.8 | (0.83) | 7.3 | (0.84) | 1.8 | (0.37) |
Macao-China | 525 | (1.3) | 2.6 | (0.26) | 8.3 | (0.63) | 20.0 | (0.92) | 27.3 | (0.89) | 24.4 | (0.76) | 13.6 | (0.56) | 3.8 | (0.41) |
Montenegro | 399 | (1.4) | 31.6 | (0.85) | 28.4 | (0.80) | 23.3 | (0.85) | 11.8 | (0.62) | 4.0 | (0.38) | 0.8 | (0.18) | 0.1 | (0.07) |
Qatar | 318 | (1.0) | 71.7 | (0.53) | 15.5 | (0.50) | 7.5 | (0.59) | 3.3 | (0.29) | 1.4 | (0.18) | 0.5 | (0.10) | 0.1 | (0.05) |
Romania | 415 | (4.2) | 24.7 | (2.17) | 28.0 | (1.88) | 26.5 | (1.77) | 14.1 | (1.09) | 5.4 | (0.83) | 1.1 | (0.29) | 0.1 | (0.06) |
Russian Federation | 476 | (3.9) | 9.1 | (0.94) | 17.6 | (1.15) | 27.0 | (1.42) | 24.2 | (0.93) | 14.7 | (1.02) | 5.7 | (0.63) | 1.7 | (0.30) |
Serbia | 435 | (3.5) | 19.6 | (1.31) | 23.0 | (1.06) | 26.8 | (0.86) | 18.7 | (0.98) | 9.1 | (0.66) | 2.4 | (0.36) | 0.4 | (0.14) |
Slovenia | 504 | (1.0) | 4.6 | (0.31) | 13.1 | (0.75) | 23.5 | (0.77) | 26.0 | (0.78) | 19.2 | (0.79) | 10.3 | (0.82) | 3.4 | (0.45) |
Chinese Taipei | 549 | (4.1) | 3.6 | (0.58) | 8.3 | (0.73) | 14.3 | (0.86) | 19.4 | (0.70) | 22.4 | (0.84) | 20.1 | (0.89) | 11.8 | (0.83) |
Thailand | 417 | (2.3) | 23.3 | (1.26) | 29.7 | (1.39) | 26.4 | (0.92) | 14.0 | (0.70) | 5.3 | (0.43) | 1.1 | (0.22) | 0.2 | (0.07) |
Tunisia | 365 | (4.0) | 48.5 | (1.75) | 24.0 | (1.12) | 16.5 | (1.06) | 8.1 | (0.94) | 2.4 | (0.56) | 0.5 | (0.23) | # | (†) |
Uruguay | 427 | (2.6) | 24.4 | (1.05) | 21.7 | (0.98) | 24.3 | (0.84) | 18.3 | (1.08) | 8.2 | (0.69) | 2.6 | (0.36) | 0.6 | (0.16) |
† Not applicable. # Rounds to zero. 1 Level 1: Able to answer questions involving familiar contexts where all relevant information is present and the questions are clearly defined. Level 2: Able to interpret and recognize situations in contexts that require no more than direct inference, extract relevant information from a single source, and employ direct reasoning for literal interpretations of results. Level 3: Able to execute clearly described procedures, interpret and use representations based on different information sources, and develop short communications reporting their interpretations, results, and reasoning. Level 4: Able to work effectively with explicit models for complex concrete situations that may involve constraints or call for making assumptions, select and integrate different representations, reason with some insight, and construct and communicate explanations and arguments based on their interpretations and actions. Level 5: Able to develop and work with models for complex situations, work strategically using broad, well-developed thinking and reasoning skills, and communicate their interpretations and reasoning. Level 6: Able to conceptualize, generalize, and utilize information, link different information sources and representations, and formulate and precisely communicate actions and reflections regarding findings and interpretations. 2 Illustrates how a country compares with the OECD area as a whole. Computed by taking the OECD countries as a single entity to which each country contributes in proportion to the number of 15-year-olds enrolled in its schools. 3 Refers to the mean of the data values for all OECD countries, to which each country contributes equally, regardless of the absolute size of the student population of each country. 4 As a result of a printing error, the mean performance in mathematics may be misestimated by approximately 1 score point. The impact is below one standard error. NOTE: Possible scores range from 0 to 1,000. Standard errors appear in parentheses. Detail may not sum to totals because of rounding. SOURCE: Organization for Economic Cooperation and Development (OECD), Program for International Student Assessment (PISA), 2006, PISA 2006 Science Competencies for Tomorrow's World. (This table was prepared July 2008.) |