Skip to main content

2020 AMC 10A Problem 2

Problem 2 of 25EasierProbability & Statistics

The numbers 3,3, 5,5, 7,7, a,a, and bb have an average (arithmetic mean) of 15.15. What is the average of aa and b?b?

Answer choices

Show solution

Solution

The five numbers have total sum 5⋅15=755\cdot15=75. Since 3+5+7=153+5+7=15, we have a+b=75−15=60a+b=75-15=60, so the average of aa and bb is 3030. Thus, C is the correct answer.
AoPS wiki

Tagged: mean

More practice