SOLUTION: Tim's brothers are 174 cm, 180 cm, 179 cm, and 172 cm tall. The average male is 176.5 cm tall. How tall is Tim if he and his brothers have an average height of 176.5 cm?

Algebra ->  Test -> SOLUTION: Tim's brothers are 174 cm, 180 cm, 179 cm, and 172 cm tall. The average male is 176.5 cm tall. How tall is Tim if he and his brothers have an average height of 176.5 cm?      Log On


   

Question 332640: Tim's brothers are 174 cm, 180 cm, 179 cm, and 172 cm tall. The average male is 176.5 cm tall. How tall is Tim if he and his brothers have an average height of 176.5 cm?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Think about how we take an average. We add up all of the numbers and divide by the number of numbers. The average height for Tim and his brothers will be the sum of all 5 test scores divided by 5. Let's say we want to achieve an overall average of for data elements given data elements.

We know that



So we can say that



But , the answer to the question, can be found by:



Which is to say:



So add up the heights for Tim's four brothers and subtract that sum from the product of the total number of brothers multiplied by the desired overall average height. Done.

John

My calculator said it, I believe it, that settles it