Percentile cut score is higher than U.S. percentile cut score at the .05 level of statistical significance.

Percentile cut score is lower than U.S. percentile cut score at the .05 level of statistical significance.

¹ National Target Population does not include all of the International Target Population.

² Met guidelines for sample participation rates only after replacement schools were included.

³ Reservations about reliability because the percent of students with achievement too low to estimate exceeds 15 percent but does not exceed 25 percent.

⁴ National Defined Population covers 90 to 95 percent of the National Target Population.

⁵ National Defined Population covers less than 90 percent of the National Target Population (but at least 77 percent).

⁶ Reservations about reliability because the percent of students with achievement too low to estimate exceeds 25 percent.

⁷ The number in parentheses indicates years of school not grade in schooling.

⁸ Did not satisfy guidelines for sample participation.

NOTE: Education systems that are not countries are designated by the appended three-letter international abbreviation for their country. Participants that did not administer TIMSS at the target grade are not shown; see the international report for their results. U.S. state data are based on public school students only. Standard error is abbreviated as s.e. For TIMSS 2015, Norway revised its assessed population to students in their 5th and 9th years of schooling to obtain better comparisons with Sweden and Finland. However, in previous TIMSS cycles Norway assessed students in their 4th and 8th years of schooling, which were defined as 4th and 8th grades but have been redefined as 3rd and 7th grades because year 1 in Norway is now considered the equivalent of a year of kindergarten. To maintain trend with previous TIMSS cycles, in 2015 Norway also collected data from students in their 4th and 8th years of schooling, which is used in trend tables.

SOURCE: International Association for the Evaluation of Educational Achievement (IEA), Trends in International Mathematics and Science Study (TIMSS), 2015.