Average Problems( Week 23 Evaluation) 1. There are 6 math exams during the semester. Jackson has taken 5 exams so far and the scores were 80, 88, 82, 87, and 85. What will Jackson need to score on his final math exam to have an average score of 84 for the semester? 2. There are 3 groups of numbers. The first group has 3 numbers with an average of 5. The second group has 4 numbers with an average of 4 and the third group has 3 numbers with an average of 16. What is the average of all these numbers? 3. The average of 24 numbers is 7. One of numbers was then changed to 6. The average of all the numbers becomes 6 now. What was the number before it was changed? 4. There are 6 numbers. Their average is 11. The average of the first 3 numbers is 7. The average of the last 4 numbers is 17. What is the 3rd number? 5. Consecutive numbers are natural numbers that follow in order, such as 1,2, 3, 4, 5,..., and so forth. Suppose the average of 19 consecutive numbers is 17. What is the average of the first 9 numbers in the set? 6. The average of 11 numbers is 19. Let the 1st number increases by 2, the 2nd number by 4, the 3rd number by 6, the 4th number by 8 ... and the 11th number by 22. What is the average of all the increased numbers? 7. The average score of a math exam is 87 in a class. The average score of the 16 girls in the class is 88 for the exam. The average score of the boys in the class is 85 for the exam. How many boys are there in the class? 8. There are 2 groups of numbers. The first group has 6 numbers with an average of 9. The second group has 7 numbers with an average of 8. What new number can be added to the 2 groups of numbers to make all 14 numbers have an average of 9? 9. There are a total of 7 exams for the chemistry class in the semester. Jessica got an average of 83 in the first 3 exams and 89 in the following 2 exams. What is the average she will need to score in the remaining exams in order to get an average of 85 for the semester? 10. What is the average of all three-digit numbers that are multiples of 17? |