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Wellesley High students outscored the state averages on SAT and Advanced Placement tests last year, and the school’s African-American and Hispanic students closed a bit of the achievement gap with white students, officials said. Details on 2013 test scores were presented to the School Committee last week by Wellesley High’s principal, Andrew Keough. Citing College Board data, Keough said that the average scores for local students hovered above 600 in all three testing sections of the Scholastic Aptitude Test — about 100 points higher than the state and national averages in math, writing, and critical reading — for an average total of 1,823. The vast majority of Wellesley students also fared well on their AP tests: 91 percent scored a 3 or higher, compared with the state average of 73 percent attaining at least the “qualified’’ standing on the 5-point scale. Also, Keough said, the high school saw a 9 percent increase in average SAT scores by its African-American students last year, with overall totals up by 129 points from the previous year to 1,539, narrowing the gap between the average totals of white students by 172 points since 2010. Hispanic students at the high school saw their average scores grow by 3.2 percent, or 57 points, to 1,820 last year, reducing the achievement gap by 107 points since 2010, Keough said. The average SAT total for white students was 1,891, within 10 points of the averages over the previous three years.