Explanation:
sum(34 scores) / 34 = 73
sum(19 male scores) / 19 = 66
sum(34 scores) = 73×34 = 2,482
sum(19 male scores) = 66×19 = 1,254
sum(34 scores) = sum(19 male scores) + sum(15 female scores) =
= sum(19 male scores) + (female mean score)×15
2,482 = 1,254 + (female man score)×15
1,228 = (female mean score)×15
female mean score = 1,228 / 15 = 81.8666666...