In a class, the weights of students are in the ranges of 50-54 kg, 54-58 kg, 58-62 kg, and 62-66 kg, with 8, 10, 25, and 17 students respectively. What is the average weight of a student in the class?

Correct option is C

To find the average weight of the students, we need to estimate the mean weight for each range and multiply by the number of students in that range, then divide by the total number of students.
For each weight range:
50-54 kg: mean weight = 52 kg (midpoint of the range)
54-58 kg: mean weight = 56 kg
58-62 kg: mean weight = 60 kg
62-66 kg: mean weight = 64 kg
Calculating the weighted average:
(52 × 8) + (56 × 10) + (60 × 25) + (64 × 17) = 416 + 560 + 1500 + 1088 = 3564  kg total weight.
Total number of students = ( 8 + 10 + 25 + 17 = 60 ).
Average weight = 3564 /60 = 59.4  kg.
Therefore, the correct answer is (c) 59.4 kg.