In aclass of 100 students the average mark in math paper is 60.the average mark for the top 30 students is 80.find the average mark for the remainning 70 students.
total points: 60*100
top 30: 30*80
Now see how many points you have to divide among the other 70 students.
To find the average mark for the remaining 70 students, you need to perform the following steps:
Step 1: Calculate the total marks for the top 30 students.
Since the average mark for the top 30 students is given as 80, we can use this information to find the total marks.
Total marks for the top 30 students = Average mark * Number of students
Total marks for the top 30 students = 80 * 30 = 2400
Step 2: Calculate the total marks for all 100 students.
Since the average mark for the entire class is given as 60, we can use this information to find the total marks for all 100 students.
Total marks for all 100 students = Average mark * Number of students
Total marks for all 100 students = 60 * 100 = 6000
Step 3: Calculate the total marks for the remaining 70 students.
Total marks for the remaining 70 students = Total marks for all 100 students - Total marks for the top 30 students
Total marks for the remaining 70 students = 6000 - 2400 = 3600
Step 4: Calculate the average mark for the remaining 70 students.
Average mark for the remaining 70 students = Total marks for the remaining 70 students / Number of students
Average mark for the remaining 70 students = 3600 / 70 = 51.43 (rounded to two decimal places)
Therefore, the average mark for the remaining 70 students is approximately 51.43.