A professor grades students on four tests, a term paper, and a final examination. Each test counts as $15\%$ of the course grade. The term paper counts as $20\%$ of the course grade. The final examination counts as $20\%$ of the course grade. Alan has test scores of

$96,78,82,$ and $80.$

Alan received an $82$ on his term paper. His final examination score was $90.$ Use the weighted mean formula to find Alan's average for the course. $($Round your answer to one decimal place.$)$