Here's how to solve this problem step-by-step:
1. Calculate the total score of the first group of students:
The average score of the first 12 students is 68. Therefore, their total score is \(12 \times 68 = 816\).
2. Calculate the total score of the remaining students:
There are 30 students in total, and 12 are in the first group, so there are \(30 - 12 = 18\) students in the second group. Their average score is 70, meaning their total score is \(18 \times 70 = 1260\).
3. Calculate the total score of the entire class:
The total score for the entire class is the sum of the scores of both groups: \(816 + 1260 = 2076\).
4. Calculate the average score of the entire class:
To find the average score, divide the total score by the total number of students: \(\frac{2076}{30} = 69.2\).
Therefore, the average score of the class is 69.2.
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