Answer

For one thing, there are legitimate concerns about whether or not it is appropriate to measure intelligence using a single linear scale. But even setting such concerns aside, we still cannot conclude that student 2 is more intelligent than student 1. This is because if a single student is given a series of IQ tests, the scores will vary slightly from test to test; the standard deviation is typically about 3 points. Hence the difference in score between student 1 and student 2 is too small to say anything conclusive about the difference in the intelligence of the students. For any measurement or test, it is important not to draw conclusions which the accuracy of the test doesn't justify. (Source: J. D. McGervey (1986), Probabilities in Everyday Life. Chicago: Nelson-Hall.)