Question

The average height of 16 students is 142 cm. If the height of the teacher is included, the average height increases by 1 cm. The height of the teacher is

Options

• 156 cm

• 159 cm

• 158 cm

• 157 cm

Answer 1

159 cm

Explanation:

Total height of 16 students = 16 × 142

Let teacher's height = x cm

Then, `(16 xx 142  + x)/17` = 143

 x = 143 × 17 – 16 × 142

= 2431 – 2272

= 159 cm

Height of teacher = (142 + 17) cm = 159 cm.