Algebra Word Problem Problems Involving Averages

The video tutorial covers the concept of averages, starting with a basic definition and example. It then progresses to more complex problems, such as calculating class averages and determining the feasibility of achieving a target average. The tutorial also explores scenarios where a number is removed from a set and the impact of dropping the highest grade on the average. Throughout, the importance of understanding averages in real-life contexts is emphasized.

What is the primary method to calculate an average?

• Subtract the smallest number from the largest

• Divide the largest number by the smallest

• Add all numbers and divide by the count

• Multiply all numbers together

If Jason scores 97, Barbara scores 88, and Jeremy scores 91, what is their average score?

• 92

• 90

• 89

• 91

In a class of 10 students, if 5 score 88 and 4 score 89, what must the 10th student score to achieve an average of 90?

• 104

• 100

• 90

• 95

Can the class achieve an average of 90 if the highest possible score is 100?

• Yes, if the 10th student scores 100

• No, because the required score is above 100

• No, because the average is already too low

• Yes, if bonus points are awarded

If the average of 6 numbers is 20 and removing one number results in an average of 15, what was the removed number?

• 25

• 45

• 40

• 30

How do you find the missing number when given the average of a set before and after removal?

• Divide the original average by the new average

• Subtract the sum of the remaining numbers from the original sum

• Add the two averages

• Multiply the averages

If the class average is 72 and the highest grade is removed, what happens to the average?

• It increases

• It remains the same

• It becomes zero

• It decreases

What is the missing grade if the known grades are 72, 83, 85, and 90, and the average is 72?

• 30

• 60

• 50

• 40

What is the new average if the highest grade of 94 is removed from the class?

• 70

• 75

• 67.5

• 72

Why is understanding averages important in real life?

• They help in calculating discounts

• They are used to predict weather patterns

• They are used in various fields like education and science

• They determine the fastest route