Table E-18-1. Percentage distribution of students at National Assessment of Educational Progress (NAEP) mathematics achievement levels, by grade, sex, and race/ethnicity: Various years, 2005

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Table E-18-1. Percentage distribution of students at National Assessment of Educational Progress (NAEP) mathematics achievement levels, by grade, sex, and race/ethnicity: Various years, 2005–11

Sex and race/ethnicity	4th grade												8th grade												12th grade
	2007				2009				2011				2007				2009				2011				2005				2009
	Below Basic	At or above Basic	At or above Pro- ficient	At Ad-vanced	Below Basic	At or above Basic	At or above Pro- ficient	At Ad-vanced	Below Basic	At or above Basic	At or above Pro- ficient	At Ad-vanced	Below Basic	At or above Basic	At or above Pro- ficient	At Ad-vanced	Below Basic	At or above Basic	At or above Pro- ficient	At Ad-vanced	Below Basic	At or above Basic	At or above Pro- ficient	At Ad-vanced	Below Basic	At or above Basic	At or above Pro- ficient	At Ad-vanced	Below Basic	At or above Basic	At or above Pro- ficient	At Ad-vanced
Total¹	18	82	39	6	18	82	39	6	18	82	40	7	29	71	32	7	27	73	34	8	27	73	35	8	39	61	23	2	36	64	26	3

Sex
Male	18	82	41	7	18	82	41	7	17	83	42	8	28	72	34	8	27	73	36	9	27	73	36	9	38	62	25	3	35	65	28	4
Female	18	82	37	4	18	82	37	5	18	82	39	6	29	71	30	6	28	72	32	7	27	73	34	7	40	60	21	1	37	63	24	2

Race/ethnicity
White	9	91	51	8	9	91	51	8	9	91	52	9	18	82	42	9	17	83	44	11	16	84	44	11	30	70	29	3	25	75	33	3
Black	36	64	15	1	36	64	16	1	34	66	17	1	53	47	11	1	50	50	12	1	49	51	13	2	70	30	6	#	63	37	6	#
Hispanic	30	70	22	1	29	71	22	1	28	72	24	2	45	55	15	2	43	57	17	2	39	61	20	3	60	40	8	#	55	45	11	#
Asian/Pacific Islander	9	91	58	15	8	92	60	17	9	91	62	19	17	83	50	17	15	85	54	20	14	86	55	22	27	73	36	6	16	84	52	10
Asian	—²	—²	—²	—²	—²	—²	—²	—²	7	93	64	20	—²	—²	—²	—²	—²	—²	—²	—²	12	88	58	24	—²	—²	—²	—²	—²	—²	—²	—²
Native Hawaiian/Pacific Islander	—²	—²	—²	—²	—²	—²	—²	—²	23	77	34	7	—²	—²	—²	—²	—²	—²	—²	—²	41	59	22	4	—²	—²	—²	—²	—²	—²	—²	—²
American Indian/Alaska Native	30	70	25	2	34	66	21	2	34	66	22	2	47	53	16	2	44	56	18	3	45	55	17	3	58	42	6	1	44	56	12	#
Two or more races	—	—	—	—	—	—	—	—	13	87	45	10	—	—	—	—	—	—	—	—	22	78	39	11	—	—	—	—	—	—	—	—

Race/ethnicity by sex
Male
White	8	92	54	9	9	91	53	10	9	91	54	10	17	83	44	11	17	83	46	12	16	84	46	12	29	71	31	4	25	75	35	4
Black	38	62	15	1	38	62	16	1	35	65	17	1	53	47	11	1	52	48	12	1	51	49	13	2	70	30	7	#	64	36	6	#
Hispanic	30	70	24	2	29	71	23	2	26	74	25	2	45	55	17	2	41	59	19	2	39	61	21	3	59	41	8	1	51	49	13	1
Asian/Pacific Islander	9	91	61	18	8	92	61	17	10	90	62	19	18	82	51	19	16	84	55	21	16	84	53	24	29	71	37	10	17	83	52	12
Asian	—²	—²	—²	—²	—²	—²	—²	—²	8	92	64	20	—²	—²	—²	—²	—²	—²	—²	—²	14	86	57	25	—²	—²	—²	—²	—²	—²	—²	—²
Native Hawaiian/Pacific Islander	—²	—²	—²	—²	—²	—²	—²	—²	21	79	36	5	—²	—²	—²	—²	—²	—²	—²	—²	48	52	17	3	—²	—²	—²	—²	—²	—²	—²	—²
American Indian/Alaska Native	30	70	25	3	33	67	22	2	34	66	24	3	46	54	18	2	42	58	20	4	46	54	18	4	‡	‡	‡	‡	40	60	14	#
Two or more races	—	—	—	—	—	—	—	—	13	87	47	12	—	—	—	—	—	—	—	—	22	78	39	11	—	—	—	—	—	—	—	—
Female
White	9	91	48	6	10	90	48	7	9	91	50	7	18	82	39	8	17	83	42	10	17	83	43	10	30	70	27	2	26	74	30	2
Black	35	65	16	1	35	65	16	1	33	67	18	1	52	48	11	1	49	51	13	1	47	53	14	1	70	30	5	#	63	37	6	#
Hispanic	31	69	20	1	30	70	20	1	29	71	22	2	46	54	14	2	45	55	15	2	40	60	19	2	62	38	8	#	58	42	9	#
Asian/Pacific Islander	9	91	56	13	9	91	60	17	8	92	62	19	17	83	49	16	14	86	52	19	12	88	57	21	25	75	35	3	16	84	51	8
Asian	—²	—²	—²	—²	—²	—²	—²	—²	7	93	65	20	—²	—²	—²	—²	—²	—²	—²	—²	11	89	59	22	—²	—²	—²	—²	—²	—²	—²	—²
Native Hawaiian/Pacific Islander	—²	—²	—²	—²	—²	—²	—²	—²	25	75	32	8	—²	—²	—²	—²	—²	—²	—²	—²	32	68	28	6	—²	—²	—²	—²	—²	—²	—²	—²
American Indian/Alaska Native	30	70	24	2	35	65	21	1	33	67	21	1	48	52	15	3	46	54	17	2	45	55	17	3	‡	‡	‡	‡	46	54	10	#
Two or more races	—	—	—	—	—	—	—	—	13	87	44	9	—	—	—	—	—	—	—	—	23	77	39	11	—	—	—	—	—	—	—	—

— Not available.

# Rounds to zero.

‡ Reporting standards not met (too few cases).

¹Total includes other racial/ethnic groups not shown separately in the table.

²Separate estimates for Asians and Native Hawaiians/Pacific Islanders were not available.

NOTE: NAEP achievement levels define what students should know and be able to do. Basic denotes partial mastery of knowledge and skills that are fundamental for proficient work at a given grade. Proficient represents solid academic performance. Students reaching this level have demonstrated competency over challenging subject matter. Advanced signifies superior performance. NAEP reports data on student race/ethnicity based on information obtained from school rosters. The NAEP assessment was not administered to grade 12 in 2007 or 2011. Detail may not sum to totals because of rounding. Race categories exclude persons of Hispanic ethnicity.

SOURCE: U.S. Department of Education, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2005, 2007, 2009, and 2011 Mathematics Assessment, NAEP Data Explorer.