The mean weight of 60 students of a class is 52.75 kg. If the mean weight of 35 of them is 54 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

$\therefore 52.75 = \dfrac{\text{Total weight}}{60} \\[1em] \text{Total weight} = 60 \times 52.75 \\[1em] = 3165 \text{ kg}.$

Mean weight of 35 students among them = 54 kg.

So, the total weight of 35 students = 54 × 35 = 1890 kg.

Remaining students = 60 – 35 = 25

Total weight of 25 students = 3165 – 1890 = 1275 kg

Mean weight of 25 students = $\dfrac{1275}{25}$ = 51 kg.

Hence, the mean weight of the remaining students is 51 kg.