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Mathematics Literacy: Percentiles

Percentile Scores

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Table M7. Cut scores of 15-year-old students on PISA mathematics literacy scale at selected percentiles and percentile cut score gaps, by education system: 2012
  Percentile
  10th   25th   50th   75th   90th   90th to 10th
Education system Cut score s.e.   Cut score s.e.   Cut score s.e.   Cut score s.e.   Cut score s.e.   Cut score gap s.e.
OECD average 375 0.7   430 0.6   494 0.6   558 0.6   614 0.7   239   1.0
Costa Rica 323 3.8   361 3.6   403 3.1   449 3.9   496 5.1   172 Cut score gap is smaller than the U.S. percentile cut score gap 6.4
Indonesia 288 4.2   327 3.8   370 3.6   418 5.2   469 7.8   181 Cut score gap is smaller than the U.S. percentile cut score gap 8.8
Kazakhstan 343 2.5   383 2.8   429 3.1   478 4.4   527 5.7   183 Cut score gap is smaller than the U.S. percentile cut score gap 6.2
Colombia 285 4.0   326 2.8   373 2.9   423 3.6   474 4.8   189 Cut score gap is smaller than the U.S. percentile cut score gap 6.3
Mexico 320 1.9   362 1.6   411 1.6   462 1.7   510 2.0   191 Cut score gap is smaller than the U.S. percentile cut score gap 2.7
Jordan 290 4.0   335 3.2   383 3.1   435 3.3   485 4.3   195 Cut score gap is smaller than the U.S. percentile cut score gap 5.8
Argentina 292 4.6   337 3.8   388 4.2   440 4.5   488 4.1   196 Cut score gap is smaller than the U.S. percentile cut score gap 6.2
Tunisia 292 4.3   334 3.7   384 3.8   437 4.5   488 7.3   196 Cut score gap is smaller than the U.S. percentile cut score gap 8.5
Brazil 298 2.0   337 1.9   385 2.0   440 2.7   495 4.5   197 Cut score gap is smaller than the U.S. percentile cut score gap 4.9
Thailand 328 3.1   372 2.6   421 3.3   476 4.8   535 7.3   207 Cut score gap is smaller than the U.S. percentile cut score gap 7.9
Estonia 417 3.0   465 2.7   519 2.6   576 2.7   626 3.2   209 Cut score gap is smaller than the U.S. percentile cut score gap 4.4
Romania 344 3.5   386 3.8   439 4.0   497 4.8   553 6.1   209 Cut score gap is smaller than the U.S. percentile cut score gap 7.1
Chile 323 3.7   365 3.5   417 3.4   476 4.2   532 4.2   209 Cut score gap is smaller than the U.S. percentile cut score gap 5.6
Malaysia 319 3.2   363 3.1   417 3.4   474 4.3   530 4.9   211 Cut score gap is smaller than the U.S. percentile cut score gap 5.9
Latvia 387 4.4   434 3.3   489 3.4   546 3.8   597 3.7   211 Cut score gap is smaller than the U.S. percentile cut score gap 5.8
Denmark 393 4.0   444 3.3   501 2.7   556 2.7   607 3.1   214 Cut score gap is smaller than the U.S. percentile cut score gap 5.1
Montenegro, Republic of 306 2.0   352 1.7   406 2.1   465 2.0   520 2.7   214 Cut score gap is smaller than the U.S. percentile cut score gap 3.4
Peru 264 3.4   311 3.6   364 3.8   421 4.9   478 6.7   214 Cut score gap is smaller than the U.S. percentile cut score gap 7.5
Ireland 391 3.6   445 3.2   503 2.9   559 2.4   610 2.5   219   4.4
Finland 409 3.3   463 2.5   520 2.4   577 2.4   629 3.1   219   4.5
Vietnam 401 7.4   454 5.3   510 5.0   568 5.5   623 6.8   222   10.1
Russian Federation 371 3.9   423 3.1   481 3.3   540 3.6   595 4.7   224   6.1
Spain 370 3.1   424 2.6   486 2.3   546 2.1   597 2.4   228   3.9
Greece 338 3.8   393 3.6   453 3.2   513 2.8   567 3.1   228   4.9
Uruguay 297 4.1   347 3.0   407 3.2   470 3.6   526 3.8   228   5.6
Croatia 360 3.3   408 3.6   468 3.5   531 4.5   589 7.3   229   8.0
Norway 373 3.9   428 2.9   490 2.9   552 3.3   604 3.4   231   5.2
Canada 402 2.4   457 2.1   518 2.2   580 2.3   633 2.3   231   3.3
Albania 278 4.8   338 3.0   397 2.3   454 2.4   510 3.5   231   5.9
United Arab Emirates 323 2.5   370 2.9   429 2.8   494 2.9   555 3.9   232   4.6
Lithuania 364 3.5   418 3.1   478 3.2   540 3.3   596 3.5   232   4.9
Serbia, Republic of 335 4.1   386 3.7   445 3.6   508 4.4   567 5.8   233   7.1
United States 368 3.9   418 3.7   477 4.0   543 4.4   600 4.3   233   5.8
Poland 402 2.8   454 3.3   514 3.8   580 4.9   636 6.0   234   6.7
Sweden 360 3.5   415 2.9   478 2.6   543 2.7   596 2.9   236   4.6
Turkey 339 3.3   382 3.6   438 4.8   507 8.0   577 9.7   238   10.3
Iceland 372 2.8   431 2.6   494 2.3   557 3.0   612 3.3   239   4.3
Austria 384 3.9   440 3.2   506 3.3   572 3.5   624 3.8   240   5.5
Cyprus 320 2.6   376 1.6   439 1.7   503 2.0   561 2.1   240   3.3
Slovenia 384 2.5   434 2.0   498 2.2   566 2.1   624 2.9   240   3.8
Italy 366 2.2   421 2.3   485 2.4   550 2.7   607 3.0   241   3.7
Macao-China 415 2.8   476 1.7   542 1.7   605 1.7   657 2.3   242   3.7
Netherlands 397 5.5   457 5.1   529 4.7   591 4.3   638 3.7   242   6.6
Japan 415 5.1   473 4.2   538 3.9   603 4.4   657 5.1   242   7.2
Switzerland 408 3.3   466 3.4   534 3.5   597 3.6   651 4.3   243   5.4
Czech Republic 377 4.9   432 3.9   500 3.4   566 3.3   621 3.6   244   6.1
Hungary 358 4.2   411 3.3   474 3.6   540 4.8   603 6.4   245   7.6
United Kingdom 371 5.0   429 4.2   495 3.5   560 3.7   616 4.1   245   6.5
Bulgaria 320 4.8   372 4.7   436 4.4   503 5.2   565 5.6   245   7.4
Portugal 363 4.2   421 5.0   488 4.7   554 4.3   610 3.9   247   5.8
Australia 382 2.3   437 2.0   503 1.9   571 2.3   630 3.0   249 Cut score gap is larger than the U.S. percentile cut score gap 3.8
Hong Kong-China 430 6.2   499 4.7   569 3.8   629 3.5   679 4.2   249   7.5
Luxembourg 363 3.0   422 1.5   491 1.7   558 1.6   613 2.2   250 Cut score gap is larger than the U.S. percentile cut score gap 3.7
Germany 385 4.7   447 3.6   516 3.3   583 3.6   637 3.8   252 Cut score gap is larger than the U.S. percentile cut score gap 6.0
Liechtenstein 403 11.2   470 8.0   540 5.9   606 5.0   656 9.2   253   14.5
Korea, Republic of 425 5.8   486 4.8   557 4.8   624 5.1   679 6.0   254 Cut score gap is larger than the U.S. percentile cut score gap 8.3
France 365 4.7   429 2.7   497 2.9   565 3.4   621 3.5   256 Cut score gap is larger than the U.S. percentile cut score gap 5.8
Qatar 257 1.7   306 1.3   365 1.1   440 1.7   514 1.9   257 Cut score gap is larger than the U.S. percentile cut score gap 2.5
New Zealand 371 3.6   428 3.2   499 2.8   570 2.8   632 3.0   261 Cut score gap is larger than the U.S. percentile cut score gap 4.7
Slovak Republic 352 6.2   413 4.2   481 3.8   553 4.7   613 5.3   261 Cut score gap is larger than the U.S. percentile cut score gap 8.1
Shanghai-China 475 5.8   546 4.4   622 3.7   685 3.5   737 3.5   262 Cut score gap is larger than the U.S. percentile cut score gap 6.7
Belgium 378 3.9   443 3.4   518 2.6   589 2.8   646 2.5   268 Cut score gap is larger than the U.S. percentile cut score gap 4.6
Israel 328 5.7   393 5.1   468 5.2   541 5.3   603 6.0   275 Cut score gap is larger than the U.S. percentile cut score gap 8.2
Singapore 432 3.6   501 2.7   579 2.5   650 1.9   707 2.3   275 Cut score gap is larger than the U.S. percentile cut score gap 4.3
Chinese Taipei 402 4.8   478 4.8   567 4.2   645 3.4   703 4.9   301 Cut score gap is larger than the U.S. percentile cut score gap 6.9
                                     
U.S. state education systems                                    
Florida 359 7.3   406 6.2   464 7.0   524 6.8   581 8.9   222   11.5
Massachusetts 387 4.8   445 6.3   512 7.1   583 9.7   643 9.4   255   10.6
Connecticut 376 7.1   435 9.0   506 6.8   577 8.0   636 8.3   260 Cut score gap is larger than the U.S. percentile cut score gap 10.9
Cut score gap is larger than the U.S. percentile cut score gap Cut score gap is larger than the U.S. percentile cut score gap.
Cut score gap is smaller than the U.S. percentile cut score gap Cut score gap is smaller than the U.S. percentile cut score gap.
NOTE: This table shows the threshold (or cut) scores for the following: (a) 10th percentile- the bottom 10 percent of students; (b) 25th percentile- the bottom 25 percent of students; (c) 50th percentile- the median (half the students scored below the cut score and half scored above it); (d) 75th percentile- the top 25 percent of students; (e) 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 cut scores across education systems. Education systems are ordered by cut score gap. 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. 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.