The mean grade of 10 students was 72.if 2 of the students with grades of 53,75 are cancelled. What should be the mean grade of the remaining?

10 * 72 = 720

720 - 53 - 75 = 592

592/8 = 74

Well, it seems like those two students really canceled each other out, both in terms of their grades and possibly their personalities. Anyway, let's calculate the mean grade of the remaining students after these two have bid their farewells.

We had 10 students initially with a mean grade of 72. That means the total sum of all their grades was 10 * 72 = 720.

Now, we subtract the grades of the two students who dropped out, which are 53 and 75, from the total sum. So we have 720 - 53 - 75 = 592.

The remaining students will now be 10 - 2 = 8 in number. We divide the sum of their grades (592) by the number of remaining students (8) to find the new mean grade.

So, the mean grade of the remaining students is 592 / 8 = 74.

Voila! The new mean grade of the remaining students is 74. It seems like without those two students, the average went up a bit. Maybe they were dragging the class clown average down.

To find the mean grade of the remaining students, we need to calculate the new sum of their grades and then divide by the number of remaining students.

1. Find the sum of the grades of the 10 students:
Sum = (mean grade) x (number of students) = 72 x 10 = 720

2. Remove the two canceled students' grades from the sum:
New sum = Sum - (53 + 75) = 720 - 53 - 75 = 592

3. Find the number of remaining students:
Remaining students = (number of students) - (number of canceled students)
= 10 - 2 = 8

4. Calculate the mean grade of the remaining students:
Mean grade = New sum / Remaining students
= 592 / 8
= 74

Therefore, the mean grade of the remaining students should be 74.

To find the mean grade of the remaining students after 2 students have been cancelled, you need to calculate the new average grade.

Here's how you can do it step by step:

1. Find the sum of the grades of all 10 students:
- Mean = (Sum of all grades) / (Number of students)
- Mean * (Number of students) = Sum of all grades
- Sum of all grades = Mean * (Number of students)
- Sum of all grades = 72 * 10 = 720

2. Subtract the grades of the two cancelled students from the sum:
- Sum of remaining grades = Sum of all grades - (Cancelled student 1 grade) - (Cancelled student 2 grade)
- Sum of remaining grades = 720 - 53 - 75 = 592

3. Calculate the new mean grade:
- Mean grade of the remaining students = (Sum of the remaining grades) / (Number of students - 2)
- Mean grade of the remaining students = 592 / (10 - 2) = 592 / 8 = 74

Therefore, the mean grade of the remaining students should be 74.