Final answer:
The minimum number of points scored by any student in a group where the mean is 95, assuming three scored 100 points, is 80 points.
Step-by-step explanation:
To determine the minimum possible number of points scored by any student in a group where the mean score is 95 points, we can assume three students scored the maximum possible, which is 100 points each, and calculate the minimum score the fourth student could have obtained. Since the mean of the four students' scores is 95, the sum of all their scores must be 4 × 95, which equals 380. So:
3 × 100 (scores of the three students) + x (score of the fourth student) = 380
300 + x = 380
x = 380 - 300
x = 80 points
Therefore, the minimum points that any student could have scored is 80. This corresponds to option A. Any score less than 80 for the fourth student would reduce the mean to below 95.