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Answer :
Final answer:
The new average SAT score when a student with a score of 1,460 joins the class whose average score was initially 1,320 is 1,340.
Explanation:
The initial average SAT score of the class is 1,320 with 7 students. The total score for the seven students is 1,320 x 7 = 9,240.
When a new student with an SAT score of 1,460 joins, the total score for the now 8 students becomes 9,240 + 1,460 = 10,700.
The new average SAT score is therefore calculated by dividing this total score by the new number of students: 10,700 ÷ 8 = 1,337.5.
When rounding off to the nearest 10, 1,337.5 rounds up to 1,340 because the decimal fraction (0.5) is equal to or greater than half.
Thus, the new average SAT score is 1,340, which corresponds to option B.
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