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Mathematics Literacy: Percentiles


High and Low Performers

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Figure M1a. Average scores and 10th and 90th percentile scores of 15-year-old students on the PISA mathematics literacy scale, by education system: 2015

data in this figure can be found in the table

* p<.05. Score gap is significantly different from the U.S. 90th to 10th percentile score gap at the .05 level of statistical significance.
NOTE: This table shows the threshold (or cut) scores for the following: (a) 10th percentile- the bottom 10 percent of students; (b) 90th percentile- the top 10 percent of students. The percentile ranges are specific to each education system's distribution of scores, enabling users to compare scores across education systems. Education systems are ordered by score gap from smallest to largest. The OECD average is the average of the national averages of the OECD member countries, with each country weighted equally. Scores are reported on a scale from 0 to 1,000. Italics indicate non-OECD countries and education systems. B-S-J-G (China) refers to the four PISA participating China provinces: Beijing, Shanghai, Jiangsu, and Guangdong. Results for Massachusetts and North Carolina are for public school students only. Although Argentina, Malaysia, and Kazakhstan participated in PISA 2015, technical problems with their samples prevent results from being discussed in this report.This figure corresponds to figure 5 in Performance of U.S. 15-Year-Old Students in Science, Mathematics, and Reading Literacy in an International Context (NCES 2017-048).
SOURCE: Organization for Economic Cooperation and Development (OECD), Program for International Student Assessment (PISA), 2015.

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Table M1b. Average scores and 10th and 90th scores of 15-year-old students on the PISA mathematics literacy scale and percentile score gaps, by education system: 2015
  Percentile
  10th   Average   90th   90th to 10th
Education system Score s.e.   Score s.e.   Score s.e.   Score gap s.e.
OECD average 373 0.7   490 0.4   605 0.6   232   0.9
Costa Rica 315 2.9   400 2.5   489 4.2   174 Average score is lower than U.S. average score at the .05 level of statistical significance. 5.1
Dominican Republic 243 3.9   328 2.7   418 4.7   175 Average score is lower than U.S. average score at the .05 level of statistical significance. 6.1
Algeria 271 3.8   360 3.0   452 4.4   181 Average score is lower than U.S. average score at the .05 level of statistical significance. 5.8
Mexico 312 2.6   408 2.2   505 3.5   193 Average score is lower than U.S. average score at the .05 level of statistical significance. 4.4
Kosovo 265 2.9   362 1.6   460 4.2   195 Average score is lower than U.S. average score at the .05 level of statistical significance. 5.1
Colombia 293 3.1   390 2.3   492 3.3   199 Average score is lower than U.S. average score at the .05 level of statistical significance. 4.5
Latvia 382 3.0   482 1.9   582 2.9   200 Average score is lower than U.S. average score at the .05 level of statistical significance. 4.2
Indonesia 289 4.1   386 3.1   492 5.4   203 Average score is lower than U.S. average score at the .05 level of statistical significance. 6.8
Macau (China) 439 2.4   544 1.1   643 2.5   204 Average score is lower than U.S. average score at the .05 level of statistical significance. 3.5
Ireland 400 3.8   504 2.1   606 2.6   206 Average score is lower than U.S. average score at the .05 level of statistical significance. 4.6
Thailand 313 3.7   415 3.0   521 5.2   208 Average score is lower than U.S. average score at the .05 level of statistical significance. 6.4
Estonia 415 3.1   520 2.0   623 2.7   209 Average score is lower than U.S. average score at the .05 level of statistical significance. 4.1
Denmark 405 3.2   511 2.2   614 2.9   209 Average score is lower than U.S. average score at the .05 level of statistical significance. 4.3
Finland 404 3.8   511 2.3   614 2.9   210 Average score is lower than U.S. average score at the .05 level of statistical significance. 4.7
Peru 283 2.6   387 2.7   495 4.3   212 Average score is lower than U.S. average score at the .05 level of statistical significance. 5.1
Turkey 317 3.9   420 4.1   529 6.3   212   7.4
Tunisia 263 4.6   367 3.0   476 5.0   213   6.8
Russian Federation 387 4.6   494 3.1   601 3.8   214   5.9
Vietnam 388 5.4   495 4.5   604 6.9   215   8.8
Jordan 271 4.0   380 2.7   489 3.2   219   5.2
Norway 391 3.4   502 2.2   610 3.0   219   4.6
Spain 374 3.4   486 2.2   593 3.3   220   4.7
Chile 313 3.5   423 2.5   534 3.6   221   5.1
Albania 303 4.3   413 3.4   525 4.4   221   6.2
Romania 334 4.6   444 3.8   557 5.4   223   7.1
Montenegro, Republic of 308 2.8   418 1.5   531 2.3   223   3.7
Uruguay 309 2.7   418 2.5   532 3.6   224   4.5
Lithuania 365 3.8   478 2.3   590 3.5   225   5.2
Poland 391 4.1   504 2.4   617 3.6   226   5.5
Japan 416 4.4   532 3.0   643 4.2   227   6.1
Canada 400 3.2   516 2.3   627 3.2   227   4.5
Slovenia 394 2.5   510 1.3   622 3.0   228   4.0
Brazil 267 3.3   377 2.9   496 4.7   229   5.7
Croatia 351 4.2   464 2.8   580 3.6   229   5.5
United States 355 3.9   470 3.2   585 4.2   230   5.8
Germany 389 4.1   506 2.9   620 3.4   230   5.3
Buenos Aires (Argentina) 340 8.9   456 6.9   571 8.7   231   12.4
Hong Kong (China) 426 5.0   548 3.0   659 3.5   232   6.1
Sweden 376 4.4   494 3.2   609 3.9   233   5.9
Moldova, Republic of 303 3.7   420 2.5   536 4.1   233   5.5
Greece 336 5.3   454 3.8   570 3.7   234   6.5
Czech Republic 373 4.2   492 2.4   608 3.6   235   5.6
Netherlands 390 3.9   512 2.2   627 3.1   237   5.0
New Zealand 375 3.8   495 2.3   613 3.1   238   4.9
United Kingdom 371 3.7   492 2.5   610 3.1   239   4.8
Georgia 285 4.3   404 2.8   525 4.7   240   6.4
Cyprus 317 3.5   437 1.7   558 3.0   241   4.6
Italy 368 3.8   490 2.8   610 3.8   241   5.4
Iceland 367 3.6   488 2.0   608 4.0   241   5.4
Australia 371 2.5   494 1.6   613 2.8   242   3.8
Luxembourg 363 2.2   486 1.3   607 2.5   244 Average score is higher than U.S. average score at the .05 level of statistical significance. 3.4
Macedonia, Republic of 251 3.0   371 1.3   496 3.4   245 Average score is higher than U.S. average score at the .05 level of statistical significance. 4.5
Hungary 351 4.1   477 2.5   598 3.5   246 Average score is higher than U.S. average score at the .05 level of statistical significance. 5.4
Singapore 436 2.6   564 1.5   682 2.4   247 Average score is higher than U.S. average score at the .05 level of statistical significance. 3.5
Austria 370 4.5   497 2.9   618 3.7   247 Average score is higher than U.S. average score at the .05 level of statistical significance. 5.9
Slovak Republic 349 4.2   475 2.7   596 3.3   247 Average score is higher than U.S. average score at the .05 level of statistical significance. 5.4
Switzerland 394 4.4   521 2.9   641 3.4   247 Average score is higher than U.S. average score at the .05 level of statistical significance. 5.6
Portugal 365 3.8   492 2.5   614 3.6   249 Average score is higher than U.S. average score at the .05 level of statistical significance. 5.2
France 364 3.9   493 2.1   613 2.7   249 Average score is higher than U.S. average score at the .05 level of statistical significance. 4.8
United Arab Emirates 306 3.3   427 2.4   557 3.5   251 Average score is higher than U.S. average score at the .05 level of statistical significance. 4.8
Trinidad and Tobago 294 3.0   417 1.4   545 3.3   251 Average score is higher than U.S. average score at the .05 level of statistical significance. 4.5
Bulgaria 315 5.2   441 4.0   568 5.6   253 Average score is higher than U.S. average score at the .05 level of statistical significance. 7.6
Belgium 374 3.9   507 2.4   630 2.5   255 Average score is higher than U.S. average score at the .05 level of statistical significance. 4.7
Korea, Republic of 391 5.5   524 3.7   649 4.3   258 Average score is higher than U.S. average score at the .05 level of statistical significance. 7.0
Qatar 278 2.0   402 1.3   536 2.0   258 Average score is higher than U.S. average score at the .05 level of statistical significance. 2.9
Lebanon 268 5.2   396 3.7   531 5.5   263 Average score is higher than U.S. average score at the .05 level of statistical significance. 7.6
Chinese Taipei 404 4.2   542 3.0   670 4.6   266 Average score is higher than U.S. average score at the .05 level of statistical significance. 6.3
Israel 332 4.7   470 3.6   601 4.9   269 Average score is higher than U.S. average score at the .05 level of statistical significance. 6.8
B-S-J-G (China) 388 5.9   531 4.9   664 5.6   276 Average score is higher than U.S. average score at the .05 level of statistical significance. 8.2
Malta 331 3.5   479 1.7   616 3.0   285 Average score is higher than U.S. average score at the .05 level of statistical significance. 4.7
                         
U.S. states and territories                        
Puerto Rico 284 6.5   378 5.6   481 10.4   197 Average score is lower than U.S. average score at the .05 level of statistical significance. 12.3
Massachusetts 389 7.5   500 5.5   607 6.1   218   9.7
North Carolina 358 5.8   471 4.4   583 5.7   225   8.1
Score gap is larger than the U.S. percentile score gap at the .05 level of statistical significance. Score gap is larger than the U.S. percentile score gap at the .05 level of statistical significance.
Score gap is smaller than the U.S. percentile score gap at the .05 level of statistical significance. Score gap is smaller than the U.S. percentile score gap at the .05 level of statistical significance.
NOTE: This table shows the threshold (or cut) scores for the following: (a) 10th percentile- the bottom 10 percent of students and (b) 90th percentile- the top 10 percent of students. The percentile ranges are specific to each education system's distribution of scores, enabling users to compare scores across education systems. Education systems are ordered by score gap from smallest to largest. The percentile score gap for each education system is the difference between its 90th and 10th percentile scores.The OECD average is the average of the national averages of the OECD member countries, with each country weighted equally. Scores are reported on a scale from 0 to 1,000. Standard error is noted by s.e. Italics indicate non-OECD countries and education systems. B-S-J-G (China) refers to the four PISA participating China provinces: Beijing, Shanghai, Jiangsu, and Guangdong. Results for Massachusetts and North Carolina are for public school students only. Although Argentina, Malaysia, and Kazakhstan participated in PISA 2015, technical problems with their samples prevent results from being discussed in this report. This table corresponds to Figure 5 in Performance of U.S. 15-Year-Old Students in Science, Mathematics, and Reading Literacy in an International Context (NCES 2017-048).
SOURCE: Organization for Economic Cooperation and Development (OECD), Program for International Student Assessment (PISA), 2015.