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The average weight of a class of 13 students is 60 kg. If 2 new students of weight 42 kg and 48 kg are added to the class, then what will be the new a
Question

The average weight of a class of 13 students is 60 kg. If 2 new students of weight 42 kg and 48 kg are added to the class, then what will be the new average weight of 15 students?

A.

58.5 kg

B.

59 kg

C.

61 kg

D.

58 kg

Correct option is D

Given:
Average weight of 13 students = 60 kg
Weight of 2 new students = 42 kg and 48 kg
Total number of students after adding = 15
Formula Used:
Average weight formula:
Average =  Total Weight of all studentsTotal Number of students\frac{\text{Total Weight of all students}}{\text{Total Number of students}}​​

New average = Initial Total Weight+Weight of New StudentsNew Total Number of Students \frac{\text{Initial Total Weight} + \text{Weight of New Students}}{\text{New Total Number of Students}}​​
Solution:
Initial total weight of 13 students:
Total Weight = 13×6013 \times 60​ = 780 kg
Total weight of the 2 new students:
Total Weight of New Students = 42 + 48 = 90 kg
New total weight:
New Total Weight = 780 + 90 = 870 kg
New average weight:
New Average = 87015\frac{870}{15}​ = 58 kg
Thus, the correct option is (d) ₹58 kg


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