The mean weight of 60 students of a class is 52.75 kg. If the mean weight of 25 of them is 51 kg, find the mean weight of the remaining students.

By formula,

Mean = $\dfrac{\text{Sum of weight of students}}{\text{No.of students}}$

Given,

Mean weight of 60 students of a class = 52.75 kg

$\therefore 52.75 = \dfrac{\text{Sum of weight of students}}{60}$

Total weight = 60 × 52.75

= 3165 kg.

Mean weight of 25 students among them = 51 kg.

So, the total weight of 25 students = 51 × 25 = 1275 kg.

Remaining students = 60 – 25 = 35

Total weight of remaining 35 students = 3165 – 1275 = 1890 kg

Mean weight of 35 students = $\dfrac{1890}{35}$ = 54 kg.

Hence, the mean weight of the remaining students is 54 kg.