is it possible for 8 employees to earn between $300 and $350 while a ninth earns $1250, and the mean to be $430?

Answer 1

(8x+1250)/9 = mean = 430

multiply by 9

8x +1250 = 9(430) = 3870

subtract 1250 from both sides

8x =3870-1250 = 2620

divide by 8

x = 2620/8 = $327.50 for 8 employees, 9th with $1250, mean = $430

$327.50 is about half way between $300 and $350

300>327.50<350

8(327.50)+1250 = 2620+1250 = 3870

3870/9= 430