Mean height of 20 boys and 15 girls is 161 cm. Mean height of 14 girls is 151 cm. What is the mean height of 20 boys?

Mean height of 20 boys and 15 girls is 161 cm. Mean height of 14 girls is 151 cm. What is the mean height of 20 boys?

Explanation


Total students = 35 → Total height = 35 × 161 = 5635 cm


14 girls = 14 × 151 = 2114 cm


So, 15 girls = (2114 + x) → x = height of 1 girl = assume x = 151


Total height of 15 girls ≈ 15 × 151 = 2265


Total height of boys = 5635 - 2265 = 3370


Mean height of 20 boys = 3370 ÷ 20 = 169 cm