Verified Answer :
the total of the grades = 3.12 * 14 = 43.68
one student drops out......leaving 13 students.....new total grades added is : 43.68 - 2.41 = 41.27
2 new students arrive....now we have a total of 15 students.
new total grades are : 41.27 + 3.97 + 4.26 = 49.50
and the new GPA average is : 49.50/15 = 3.3 <===
Answer:
3.3
Step-by-step explanation:
Given: The mean GPA in a class of 14 students is 3.12. One student, whose GPA is 2.41, drops the class. Two new students, whose GPAs are 3.97 and 4.26
To Find: new mean GPA of the class
Solution:
Mean GPA of 14 student of class\(=3.12\)
Sum of GPA of 14 students\(=\text{mean GPA}\times\text{total students}\)
\(=3.12\times14\)
\(43.68\)
When one student drops the class
sum of GPA of 13 students\(=43.68-2.41\)
\(=41.27\)
When two new students join the class
sum of GPA of 15 students\(=41.27+3.97+4.26\)
\(49.5\)
new mean GPA of the class\(=\frac{(\text{Sum of GPA of All students})}{\text{total students}}\)
\(\frac{49.5}{15}\)
\(3.3\)
The new mean GPA of the class is \(3.3\)