Average Problems( Week 23 Evaluation) 1. There are 6 math exams during the semester. John has taken 5 exams so far and the scores were 83, 99, 83, 89, and 98. What will John need to score on his final math exam to have an average score of 88 for the semester? 2. There are 3 groups of numbers. The first group has 4 numbers with an average of 3. The second group has 3 numbers with an average of 4 and the third group has 3 numbers with an average of 19. What is the average of all these numbers? 3. The average of 31 numbers is 9. One of numbers was then changed to 7. The average of all the numbers becomes 8 now. What was the number before it was changed? 4. There are 5 numbers. Their average is 15. The average of the first 3 numbers is 19. The average of the last 3 numbers is 13. 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 17 consecutive numbers is 16. What is the average of the first 11 numbers in the set? 6. The average of 7 numbers is 23. Let the 1st number increases by 2, the 2nd number by 4, the 3rd number by 6, the 4th number by 8 ... and the 7th number by 14. What is the average of all the increased numbers? 7. The average score of a math exam is 86 in a class. The average score of the 28 girls in the class is 87 for the exam. The average score of the boys in the class is 84 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 6. The second group has 7 numbers with an average of 5. What new number can be added to the 2 groups of numbers to make all 14 numbers have an average of 6? 9. There are a total of 7 exams for the chemistry class in the semester. Jennifer got an average of 89 in the first 2 exams and 93 in the following 3 exams. What is the average she will need to score in the remaining exams in order to get an average of 90 for the semester? 10. What is the average of all three-digit numbers that are multiples of 14? |