Problem #PRU-65269

Problems Algebra and arithmetic Mean values Methods Algebraic methods Proof by exhaustion Extremal principle Sorting in increasing (decreasing) order Probability and statistics Statistics

Problem

In the first term of the year Daniel received five grades in mathematics with each of them being on a scale of 1 to 5, and the most common grade among them was a 5 . In this case it turned out that the median of all his grades was 4, and the arithmetic mean was 3.8. What grades could Daniel have?