Computing and Comparing Averages Practice Test

A teacher calculated that her class average on a test was 78 points. After discovering that one student's score of 65 was incorrectly recorded as 56, she recalculated the average. If there are 24 students in the class, what is the new average?

A quality control inspector measured the weights of 15 packages. The first 10 packages had an average weight of 2.4 pounds each. The remaining 5 packages weighed 2.1, 2.8, 2.6, 2.3, and 2.7 pounds respectively. What was the overall average weight of all 15 packages?