Question

He mean test score for four students was 84. The mean test score for a different two students was 90. What is the mean test score for all six students?

a) 86
b) 87
c) 88
d) 89

Answer 1

To find the mean test score for all six students, multiply each group's mean score by its number of students, sum these totals, then divide by the number of students in both groups. The mean test score for all six students is 86.

Step-by-step explanation:

The question asks to calculate the mean test score for all six students when provided the mean scores of two separate groups. To find the overall mean, you can use the following steps:

1. First, determine the total score for the four students by multiplying their mean score by the number of students (4 students × 84 mean score = 336 total points).
2. Second, calculate the total score for the other two students (2 students × 90 mean score = 180 total points).
3. Add these two totals together to get the combined total score for all six students (336 + 180 = 516 total points).
4. Divide the combined total score by the total number of students to get the overall mean score (516 total points ÷ 6 students = 86 mean score).

Hence, the mean test score for all six students is 86.