In a class, the weights of 8, 10, 25, and 17 students are in the range of 50 -…
2023
In a class, the weights of 8, 10, 25, and 17 students are in the range of 50 - 54 kg, 54 - 58 kg, 58 - 62 kg, and 62 - 66 kg respectively. What is the mean weight of a student in the class?
- A.
55.6 kg
- B.
56.5 kg
- C.
58.4 kg
- D.
60.2 kg
Attempted by 15 students.
Show answer & explanation
Correct answer: C
To find the mean weight, first determine the midpoint of each weight range: 52 kg (50-54), 56 kg (54-58), 60 kg (58-62), and 64 kg (62-66). Multiply each midpoint by the number of students in that range: 8 × 52 = 416, 10 × 56 = 560, 25 × 60 = 1500, and 17 × 64 = 1088. Sum these products to find the total weight: 416 + 560 + 1500 + 1088 = 3564 kg. Calculate the total number of students: 8 + 10 + 25 + 17 = 60. Finally, divide the total weight by the total number of students to find the mean: 3564 ÷ 60 = 59.4 kg.