The average height of 50 students in a class was 105 cm. A group of five students with an average height of 95 cm were admitted to this class. What is the average height (in cm) of the class of 55 students? (correct to the nearest integer)
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e 104.
Average height of 50 students = 105 cm
→ Total height of 50 students = 50 × 105 = 5250 cm
5 new students with average height = 95 cm
→ Total height of 5 students = 5 × 95 = 475 cm
Now, total height of all 55 students = 5250 + 475 = 5725 cm
Average height = 5725 ÷ 55 = 104.09 cm
Rounded to the nearest integer: 104 cm