Final answer:
To find Jeff's mean in all tests, add up his total scores in Math and History and divide by the total number of tests.
Step-by-step explanation:
To find Jeff's mean in all tests, we need to calculate the overall average of his scores in Math and History.
Jeff took 3 Math tests and his mean score is 82, which means the total score he achieved in those 3 tests is 3 * 82 = 246.
Jeff also took 2 History tests and his mean score is 87, which means the total score he achieved in those 2 tests is 2 * 87 = 174.
To find the mean in all tests, we add the total scores and divide by the total number of tests: (246 + 174) / (3 + 2) = 84.