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What is the mean score Class 57 students have a mean score of 89.7 on a test. Then 19 more students take the test and their mean score is 76.3?
Wiki User
∙ 6y ago
Think about the mean average:
- it is the value that every item would have if every item had the same value;
- It is calculated by finding the sum of the values and dividing by how many values there are.
To calculate the mean of the total group of students you need to know the sum of all their values.
If you know the mean of a group you can calculate the sum of the values of the group by reversing the calculation to get the mean:
mean = sum/number of items
→ sum = mean × number of items.
You can now find the total score of the class of 57 + the extra 19 by finding the total score of the original 57 and adding the total score of the extra 19.
You now have 57 + 19 students to divide into this total.
Total original class = 89.7 × 57
Total extra 19 = 76.3 × 19
Total of all students = 89.7 × 57 + 76.3 × 19
Total number of students = 57 + 19
→ Mean of the whole group is (89.7 × 57 + 76.3 × 19)/(57 + 19) = 86.35
Wiki User
∙ 6y ago
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