The mean weight of 30 students of s class is 60.2kg . Two students of weight 50 kg and 67 kg left the class .find the mean weight of remaining
Student
Answers
Answer :
The mean weight of the remaining students = 60.32
Explanation :
We are given :
- Mean weight of 30 students in a class = 60.2 kg
- Two students of weight 50 kg and 67 kg left the class.
Need to find :
- Mean weight of the remaining students
Solution :
Firstly, we will calculate the sum of the weight of 30 students :
Using formula,
• Mean = (Sum of the weight of 30 students) ÷ No. of students
Substituting the given values :
→ 60.2 = Sum of the weight of 30 students ÷ 30
→ 60.2 × 30 = Sum of the weight of 30 students
→ 602/10 × 30 = Sum of the weight of 30 students
→ 602 × 30 = Sum of the weight of 30 students
→ 1806 = Sum of the weight of 30 students
- The sum of weight of 30 students = 1806
Now, we will calculate the sum of weight of the students who left the class :
→ Total weight = 50 + 67
→ Total weight = 117
The sum of weight of 2 students who left the class = 117
2 students left the class, so now there are total 28 students left in the class
Sum of the weight of 28 students = Sum of weight of 30 students - Sum of weight of 2 students
→ Sum of weight of 28 students = 1806 - 117 = 1689
Therefore, the sum of weight of 28 students = 1689
Now, we can calculate the mean of 28 students :
Using formula,
• Mean = Sum of weight of 28 students ÷ No. of students
Substituting the given values :
→ Mean = 1689 ÷ 28
→ Mean = 60.32
Therefore, the mean weight of the remaining students = 60.32