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, join the class. What is the new mean GPA of the class?

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 <===

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aachen aachen · Answer 2 · 2019-09-24T02:19:03+02:00

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[tex]=3.12[/tex]

Sum of GPA of 14 students[tex]=\text{mean GPA}\times\text{total students}[/tex]

[tex]=3.12\times14[/tex]

[tex]43.68[/tex]

When one student drops the class

sum of GPA of 13 students[tex]=43.68-2.41[/tex]

[tex]=41.27[/tex]

When two new students join the class

sum of GPA of 15 students[tex]=41.27+3.97+4.26[/tex]

[tex]49.5[/tex]

new mean GPA of the class[tex]=\frac{(\text{Sum of GPA of All students})}{\text{total students}}[/tex]

[tex]\frac{49.5}{15}[/tex]

[tex]3.3[/tex]

The new mean GPA of the class is [tex]3.3[/tex]