Calculating GPA and Weighted Averages

This video tutorial focuses on solving problems related to finding the weighted mean or average. It covers various examples, including calculating the weighted mean of a sample, class test scores, average weight in a college, final semester grades, GPA, and antifreeze solution concentration. The tutorial explains the concept of weighted mean, how to apply it in different scenarios, and the importance of weights in calculations.

What is the first step in calculating the weighted mean of a sample of numbers?

• Multiply each number by its weight

• Subtract the smallest number from the largest

• Add all the numbers together

• Divide the sum of numbers by the total number of values

In the class example, what is the total number of students considered for calculating the weighted mean?

• 20

• 30

• 15

• 25

How do you determine the weight in the example of average weight of students?

• By the total weight of students

• By the percentage of students

• By the number of students

• By the average weight of students

What is the weighted percentage for the final exam in calculating John's semester grade?

• 30%

• 25%

• 20%

• 15%

Why does John have a higher final semester grade than Kelly?

• He attended more classes

• He scored higher in categories with more weight

• He had more extra credit

• He scored higher in homework

What is the first step in calculating a student's GPA?

• Add all the grade points together

• Divide total grade points by total credit hours

• Convert letter grades to numbers

• Multiply each grade point by its credit hours

In the GPA example, what is the total number of credit hours considered?

• 18

• 16

• 14

• 12

What is the concentration of the new solution formed by mixing two antifreeze solutions?

• 40%

• 20%

• 35%

• 50%

Why is the concentration of the new solution closer to 50%?

• Because the first solution has more volume

• Because the second solution has more volume

• Because the first solution is more concentrated

• Because both solutions have equal volume

What is the final GPA calculated in the example?

• 3.50

• 3.14

• 3.75

• 3.00