# In a class of 40 students, the average height is 90 cm

In a class of 40 students, the average height is 90 cm. If 10 students whose average height is 100 cm join the class, what would be the average height of the students?

- 95 cm
- 92 cm
- 88 cm
- 98 cm

**Answer: (2) 92 cm **

**Solution:-**

The average height of 40 students = 90 cm

Then, total height of 40 students = 90 x 40

= 3600 cm

The average height of 10 new students = 100 cm

Then, the total height of 10 new students = 100 x 10

= 1000 cm

The total number of students in a class = 40 + 10

= 50

The total height of the total students = 3600 + 1000

= 4600 cm

Then, the average height of the students = 4600/50

= 92 cm

Hence, the correct answer is option (2) 92 cm.