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Problem Solving: Percentiles


Percentile Scores

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Table PS3. Cut scores of 15-year-old students on PISA problem solving scale at selected percentiles and percentile cut score gaps, by education system: 2012
Education system Percentile
10th   25th   50th   75th   90th   90th to 10th
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 (PS) 375 1.1   438 0.9   504 0.7   567 0.7   620 0.8   245   1.2
Macao-China 437 3.0   488 1.5   544 1.7   595 1.6   640 2.1   203 Cut score gap is smaller than the U.S. percentile cut score gap 3.1
Turkey 354 4.3   399 4.0   451 4.3   508 5.7   560 6.8   206 Cut score gap is smaller than the U.S. percentile cut score gap 7.0
Japan 441 5.5   498 3.8   556 3.4   610 3.4   658 3.7   216 Cut score gap is smaller than the U.S. percentile cut score gap 5.7
Malaysia 315 4.5   364 4.2   422 4.1   479 4.1   531 5.0   217 Cut score gap is smaller than the U.S. percentile cut score gap 5.6
Chile 337 5.5   390 4.8   450 3.8   507 3.5   557 4.2   220 Cut score gap is smaller than the U.S. percentile cut score gap 5.7
Portugal 381 4.3   436 4.2   497 4.3   555 3.7   604 4.2   223   4.8
Russian Federation 377 4.8   431 4.0   490 3.5   547 4.1   602 6.1   224   6.6
Estonia 400 4.6   458 3.4   517 2.8   576 3.1   626 3.7   225   4.7
Italy 394 5.8   451 5.2   514 4.9   572 4.5   621 4.6   227   6.6
Korea, Republic of 443 5.9   505 5.1   568 4.5   625 4.6   672 4.4   228   5.6
Shanghai-China 419 5.7   479 3.9   541 3.5   599 3.9   648 4.7   229   7.1
Serbia, Republic of 357 6.1   414 4.3   476 3.8   535 3.4   586 3.4   229   6.4
Chinese Taipei 414 5.1   475 4.1   540 3.3   601 2.9   646 3.2   232   5.4
Colombia 284 4.9   337 4.3   397 3.7   459 4.1   517 5.2   233   6.3
Hong Kong-China 421 6.7   483 5.6   544 4.2   601 3.7   654 4.1   234   6.7
Brazil 311 5.7   368 5.5   429 5.2   490 6.3   545 5.6   234   6.1
Denmark 377 5.2   438 3.8   500 3.3   560 3.3   611 4.5   234   6.3
Montenegro, Republic of 289 3.1   344 2.5   407 2.2   470 2.2   526 3.8   237   4.4
Ireland 378 5.0   438 4.0   501 3.1   562 3.5   615 3.8   237   5.1
Croatia 349 4.9   404 4.0   465 4.2   530 4.6   585 5.1   237   5.9
United States 388 6.0   446 4.9   510 4.2   571 4.1   626 4.4   237   6.3
France 387 6.8   455 4.1   518 3.4   577 3.5   626 3.8   239   7.4
Austria 384 6.8   446 4.6   511 3.8   572 3.7   623 4.4   239   7.3
Finland 401 3.1   462 3.5   526 2.6   587 3.1   640 3.6   239   3.8
Poland 358 6.3   421 5.4   485 4.3   546 4.6   600 4.8   242   6.6
Czech Republic 384 5.7   447 4.5   515 3.7   575 2.9   626 4.0   243   6.6
Singapore 436 2.9   500 2.0   568 2.1   629 1.9   681 2.1   244   3.5
United Kingdom 391 6.0   455 5.7   522 4.8   584 4.1   636 4.5   245   6.2
Sweden 365 4.0   428 3.7   494 3.2   557 2.9   612 3.7   247   4.7
Slovenia 350 3.8   413 3.0   479 2.4   545 2.3   599 2.8   249   4.5
Uruguay 279 5.1   337 4.7   403 3.9   470 3.9   530 4.3   250   6.3
Australia 396 2.7   459 2.4   526 2.3   591 2.2   646 2.3   251   3.0
Canada 398 3.8   462 3.1   530 2.5   594 2.8   649 3.3   251   4.1
Slovak Republic 354 6.2   420 4.8   487 3.9   550 4.2   606 5.2   251   7.8
Germany 377 6.9   444 5.3   516 3.6   579 4.0   629 4.3   252   7.3
Netherlands 378 8.5   448 5.9   517 4.9   581 4.8   633 4.8   256   9.0
Cyprus 315 2.8   378 2.4   447 1.8   513 2.7   571 2.8   256 Cut score gap is larger than the U.S. percentile cut score gap 4.0
Norway 370 4.9   436 3.9   507 3.5   574 3.8   633 4.3   262 Cut score gap is larger than the U.S. percentile cut score gap 5.8
Spain 338 7.8   411 5.3   483 3.8   549 3.9   605 4.3   267 Cut score gap is larger than the U.S. percentile cut score gap 7.8
United Arab Emirates 277 5.3   342 3.6   411 2.9   482 3.1   546 3.3   269 Cut score gap is larger than the U.S. percentile cut score gap 5.7
Hungary 319 8.8   391 6.1   465 4.4   532 5.4   591 5.5   272 Cut score gap is larger than the U.S. percentile cut score gap 9.5
Bulgaria 263 8.6   331 6.1   405 5.5   476 5.3   535 7.1   272 Cut score gap is larger than the U.S. percentile cut score gap 10.2
Belgium 364 4.8   441 3.4   518 2.7   583 2.6   637 2.5   272 Cut score gap is larger than the U.S. percentile cut score gap 5.3
Israel 291 7.8   372 6.2   460 6.4   543 6.2   611 6.7   320 Cut score gap is larger than the U.S. percentile cut score gap 8.8
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 (PS) is the average of the national percentages of the 28 OECD member countries that participated in the problem solving (PS) assessment, with each country weighted equally. The following OECD countries did not participate in the problem solving assessment: Greece, Iceland, Luxembourg, Mexico, New Zealand, and Switzerland. 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.
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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