Calculate Teacher's Weight
We need to find the teacher's weight given the initial average weight of students and the new average weight after including the teacher.
Initial Calculation
The initial group consists of 10 students with an average weight of 50 kg.
- Number of students: $10$
- Average weight of students: $50 \text{ kg}$
- Total weight of students: $10 \times 50 \text{ kg} = 500 \text{ kg}$
Calculation with Teacher Included
When the teacher is included, the group size increases, and the average weight also increases.
- New number of people (students + teacher): $10 + 1 = 11$
- The average weight increases by 1 kg: New average weight = $50 \text{ kg} + 1 \text{ kg} = 51 \text{ kg}$
- New total weight of the group (students + teacher): $11 \times 51 \text{ kg} = 561 \text{ kg}$
Determine Teacher's Weight
The teacher's weight is the difference between the new total weight and the initial total weight of the students.
- Teacher's weight = New total weight - Total weight of students
- Teacher's weight = $561 \text{ kg} - 500 \text{ kg}$
- Teacher's weight = $61 \text{ kg}$
Therefore, the teacher's weight is 61 kg.
Important Questions from Average
The average height of 20 students of class 8 is 152 cm and the average height of 15 students of class 9 is 168 cm. What is the average height (to the nearest cm) of the students of both classes?
The average of 4, 6, 8, 12 and x is 7 and the average of x, 9, 13, 15 and y is 9. What is the value of 2x - 3y?
The average weight of 20 girls in a school was 52 kg. Two new students of weight 54 kg and 50 kg were admitted. The ratio of this new average to the old one is:
If the average of two numbers is 13 and the square root of their product is 12, then the difference between the numbers is:
If the average of 5 consecutive odd integers in increasing order is 11 , then the average of the last 3 of them is:
