Answer :
Initially, we have 52 students in the class who take the test with a mean score of 97.6. To find the total score achieved by these 52 students, we simply multiply the mean score with the total number of students. This gives us a total score of 5075.2.
Later, 21 more students take the test with a mean score of 77.4. Using a similar calculation, multiplying the mean score by the number of students, we find that these 21 students have a combined score of 1625.4. Now, we want to find the mean score of all these students together. To do this, we first combine the total scores of the two groups of students. The total score of all students is therefore 6700.6.
Finally, we calculate the mean score of all students by dividing the total score by the total number of students. This gives us the mean score of the combined group, which is approximately 91.79, rounded to the nearest hundredth. Remember, when adding groups together like this, it's important to consider the total scores of each group and not just average them out, as the number of students in each group affects the overall mean.
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