In a class of 60 students, half of them have a height of 160 cm and one third have a height of 162 cm. What should be the height of remaini…

Half of students, i.e., 60/2 = 30 have a height of 160 cm.

One third of students, i.e., 60/3 = 20 have a height of 162 cm.

Remaining students = 60 – 30 – 20 = 10

Let height of remaining students be T cm.

Average height = 161.2 cm

⇒ 161.2 = [(30 × 160) + (20 × 162) + 10T]/60

⇒ 9672 = 4800 + 3240 + 10T

⇒ T = 163.2

∴ Height of remaining students is 163.2 cm.