The mean weigth of 30 students of a class is 60.2kg . Two students of weights of 50 kg and 67 kg left the class . Find the mean weight of the remaining students

Answer

To find the mean weight of the remaining students after two students left the class, we can follow these steps:

### Step 1: Calculate the total weight of the 30 students.
The mean weight of the 30 students is given as 60.2 kg. We can use the formula for mean:

\[ \text{Mean} = \frac{\text{Sum of weights}}{\text{Number of students}} \]

Rearranging this formula to find the sum of weights gives us:

\[ \text{Sum of weights} = \text{Mean} \times \text{Number of students} \]

Substituting the known values:

\[ \text{Sum of weights} = 60.2 \, \text{kg} \times 30 = 1806 \, \text{kg} \]

### Step 2: Subtract the weights of the two students who left.
The weights of the two students who left are 50 kg and 67 kg. We need to find the total weight of the remaining students:

\[ \text{Weight of remaining students} = \text{Total weight} - \text{Weight of student 1} - \text{Weight of student 2} \]

Calculating this:

\[ \text{Weight of remaining students} = 1806 \, \text{kg} - 50 \, \text{kg} - 67 \, \text{kg} = 1806 \, \text{kg} - 117 \, \text{kg} = 1689 \, \text{kg} \]

### Step 3: Calculate the mean weight of the remaining students.
Now, we need to find the mean weight of the remaining 28 students:

\[ \text{Mean of remaining students} = \frac{\text{Sum of weights of remaining students}}{\text{Number of remaining students}} \]

Substituting the values we have:

\[ \text{Mean of remaining students} = \frac{1689 \, \text{kg}}{28} \]

Calculating this gives:

\[ \text{Mean of remaining students} = 60.32 \, \text{kg} \]

### Final Answer:
The mean weight of the remaining students is **60.32 kg**.

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