The average weight of 19 students is 15kg by the admission of a new student the average weight is reduced to 14.8kg the weight of the new student is

Options

A. 10.6kg
B. 10.8kg
C. 11kg
D. 14.9kg

Answer

To find the weight of the new student, we can follow these steps:

### Step 1: Calculate the total weight of the original 19 students.
The average weight of the 19 students is given as 15 kg.

To find the total weight of these students, we can use the formula:
\[ \text{Total Weight} = \text{Average Weight} \times \text{Number of Students} \]
So,
\[ \text{Total Weight of 19 students} = 15 \text{ kg} \times 19 = 285 \text{ kg} \]

### Step 2: Calculate the total weight of the 20 students after the new student joins.
The new average weight after the new student joins is 14.8 kg for 20 students.

Using the same formula:
\[ \text{Total Weight of 20 students} = 14.8 \text{ kg} \times 20 = 296 \text{ kg} \]

### Step 3: Find the weight of the new student.
To find the weight of the new student, we subtract the total weight of the original 19 students from the total weight of the 20 students:
\[ \text{Weight of New Student} = \text{Total Weight of 20 students} - \text{Total Weight of 19 students} \]
Thus,
\[ \text{Weight of New Student} = 296 \text{ kg} - 285 \text{ kg} = 11 \text{ kg} \]

### Conclusion:
The weight of the new student is **11 kg**.

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