Jeanette received an integer grade between 1 and 10 inclusive, for each of her lab reports. She said that the arithmetic mean, median, and mode of all her lab grades were 8, 7, and 8 respectively.
Is this possible? If so, find a grade distribution consistent with the data; if not, prove it.
The arithmetic mean will always be less than 8, so the grade distribution is inconsistent with the data.