Question

suppose two soccer teams consist of players with a combined average height of 66 inches. if team a has an average height of 68 inches and has twice as many members as team b, what is the average height of team b

Answer 1

The average height of team b is 62 inches.

Explanation:

Mean:

The mean of a data-set is the sum of all values in the data-set divided by the number of values, that is:

`M = (s)/(n)`

Sum:

Team a: Mean of 68 inches, 2x members.

Team b: Mean of y inches, x members.

So

`s = 68*2x + yx = x(136 + y)`

Number of athletes:

`n = 2x + x = 3x`

What is the average height of team b?

`66 = (x(136+y))/(3x)`

`66 = (136 + y)/(3)`

`136 + y = 198`

`y = 198 - 136 = 62`

The average height of team b is 62 inches.