Answer :
Final answer:
The average SAT math score for the entire class of 25 students, given the individual group averages provided, is 520.
Explanation:
In the mathematics subject, to calculate the combined average, we need to find the total sum of SAT math scores and divide it by the total number of students. The 15 students who scored an average of 500, their total combined score would be 15 * 500, which gives us 7500.
On the other side, the remaining 10 students who scored an average of 550, their total combined score is 10 * 550, resulting in 5500. Now, to find the average of all 25 students, we would sum both total scores and divide by total number students. Hence, (7500 + 5500) ÷ 25 which equals to 520. Therefore, the average score of the entire class is 520.
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