Question

Question # 1
Revisit
The average weight of 11 students is 50 kg. These students are made to stand in a row. The average
weight of the first six students is 49 kg and the average weight of the last
six students is 52 kg. Now,
the teacher asked the sixth student to leave the place. What is average weight of the remaining
students?​

Answer 1

Step-by-step explanation:

The average weight of 11 students = 50 kg

The total weight of 11 students = 11*50 = 550 kg

the average weight of first 6 students = 49 kg

the total weight of first 6 students = 6*49= 294 kg

the average weight of last six students = 52 kg

the total weight of last six students =6*52= 312 kg

the weight of 6th student = 312 - 294 = 18kg

the teacher asked the sixth student to leave the place

the the total weight of

remaining 10 students = 550 - 18 = 532 kg

there fore the average

weight of 10 students = 532/10 = 53.2 kg

Answer 2

Given:

The average weight of 11 students is 50 kg.

The average  weight of the first six students is 49 kg.

The average weight of the last  six students is 52 kg.

To find:

The average weight of the remaining  students if the sixth student leave the place.

Solution:

The average weight of 11 students is 50 kg.

Total weight of 11 students is, 11 × 50 = 550 kg

The average  weight of the first six students is 49 kg.

Total weight of the first six students is, 6 × 49 = 294 kg

The average  weight of the last six students is 52 kg.

Total weight of the last six students is, 6 × 52 = 312 kg

Weight of sixth student = (312 + 294) - 550

Weight of sixth student = 606 - 550

Weight of sixth student = 56 kg

The teacher asked the sixth student to leave the place.

Total weight of remaining 10 students = 550 - 56

Total weight of remaining 10 students = 494 kg

Average weight of 10 students = $\frac{494}{10}$

Average weight of 10 students = 49.4 kg

Final answer:

The average weight of the remaining  students if the sixth student leave the place is 49.4 kg.