Target Exam

CUET

Subject

General Aptitude Test

Chapter

Numerical Ability

Topic

Average

Question:

The average weight of 16 students in a class is 50.25 kg, and that of the remaining 8 students is 45.15 kg. Find the average weight of all the students in the class.

Options:

64.56

56.23

48.55

31.44

Correct Answer:

48.55

Explanation:

Use the weighted average formula.

  • 16 students have an average weight of 50.25 kg
  • 8 students have an average weight of 45.15 kg

Total weight:

  • First group: $16 \times 50.25 = 804\text{ kg}$
  • Second group: $8 \times 45.15 = 361.2\text{ kg}$

Total weight of all students:

$804 + 361.2 = 1165.2\text{ kg}$

Total number of students:

$16 + 8 = 24$

Average weight:

$\frac{1165.2}{24} = 48.55\text{ kg}$