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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 700 · 40 questions
TalentJR

How to solve it (Work with totals): Mean = total ÷ how many; so total = mean × how many. Median: put the numbers in order and take the middle one. Mode: the number that appears most often. A number added: new mean = (old total + the number) ÷ (how many + 1).

NameDateTime takenScore ___ / 40
  1. 1.The mean of 3 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 21 (b) 25 (c) 23 (d) 24
  2. 2.What is the mode of 15, 9, 10, 10, 10, 13 and 13? (a) 10 (b) 13 (c) 9 (d) 15
  3. 3.What is the mode of 1, 5, 4, 1, 5, 16 and 5? (a) 4 (b) 5 (c) 1 (d) 16
  4. 4.What is the mean of 8, 17, 11 and 20? (a) 15 (b) 13 (c) 14 (d) 16
  5. 5.The mean of 5 numbers is 18. When the number 12 is added to them, what is the new mean? (a) 18 (b) 16 (c) 17 (d) 15
  6. 6.What is the mode of 4, 1, 8, 1, 1, 2 and 8? (a) 1 (b) 8 (c) 2 (d) 4
  7. 7.What is the mean of 18, 17, 7, 18, 15 and 21? (a) 18 (b) 15 (c) 16 (d) 17
  8. 8.The mean of 4 numbers is 19. When the number 39 is added to them, what is the new mean? (a) 19 (b) 23 (c) 29 (d) 24
  9. 9.What is the mean of 4, 7, 11, 19, 3 and 4? (a) 7 (b) 9 (c) 10 (d) 8
  10. 10.The mean of 8 numbers is 26. When the number 17 is added to them, what is the new mean? (a) 26 (b) 27 (c) 24 (d) 25
  11. 11.What is the mode of 15, 18, 4, 15, 8, 4 and 15? (a) 4 (b) 8 (c) 15 (d) 18
  12. 12.What is the mode of 19, 19, 14, 14, 17, 14 and 11? (a) 11 (b) 19 (c) 14 (d) 17
  13. 13.The mean of 5 numbers is 14. When the number 20 is added to them, what is the new mean? (a) 14 (b) 15 (c) 16 (d) 17
  14. 14.What is the median of 35, 21, 30, 5 and 25? (a) 26 (b) 21 (c) 30 (d) 25
  15. 15.What is the mean of 9, 5, 11, 12 and 3? (a) 10 (b) 8 (c) 9 (d) 7
  16. 16.What is the mode of 3, 11, 8, 11, 12, 12 and 12? (a) 8 (b) 12 (c) 11 (d) 3
  17. 17.What is the mode of 3, 7, 16, 3, 19, 7 and 3? (a) 16 (b) 7 (c) 3 (d) 19
  18. 18.The mean of 6 numbers is 28. When the number 7 is added to them, what is the new mean? (a) 28 (b) 26 (c) 24 (d) 25
  19. 19.What is the mean of 2, 12, 11, 6 and 19? (a) 11 (b) 12 (c) 10 (d) 9
  20. 20.What is the mode of 15, 3, 3, 2, 2, 7 and 2? (a) 7 (b) 15 (c) 2 (d) 3
  21. 21.The mean of 9 numbers is 38. When the number 8 is added to them, what is the new mean? (a) 23 (b) 38 (c) 35 (d) 36
  22. 22.What is the mean of 6, 20, 9 and 5? (a) 9 (b) 11 (c) 10 (d) 8
  23. 23.What is the median of 30, 4, 1, 10 and 21? (a) 1 (b) 21 (c) 4 (d) 10
  24. 24.What is the mean of 9, 17, 10 and 4? (a) 10 (b) 9 (c) 11 (d) 8
  25. 25.What is the mean of 10, 18, 12, 4, 16 and 18? (a) 13 (b) 12 (c) 15 (d) 14
  26. 26.What is the mode of 7, 9, 9, 12, 12, 13 and 9? (a) 12 (b) 7 (c) 9 (d) 13
  27. 27.The mean of 3 numbers is 34. When the number 50 is added to them, what is the new mean? (a) 42 (b) 38 (c) 39 (d) 34
  28. 28.What is the mean of 4, 6, 12, 9 and 4? (a) 6 (b) 8 (c) 7 (d) 9
  29. 29.The mean of 7 numbers is 10. When the number 2 is added to them, what is the new mean? (a) 10 (b) 6 (c) 8 (d) 9
  30. 30.The mean of 6 numbers is 15. When the number 8 is added to them, what is the new mean? (a) 14 (b) 16 (c) 13 (d) 15
  31. 31.What is the mean of 12, 13, 13, 2 and 15? (a) 13 (b) 11 (c) 10 (d) 12
  32. 32.The mean of 6 numbers is 22. When the number 1 is added to them, what is the new mean? (a) 22 (b) 19 (c) 18 (d) 20
  33. 33.The mean of 4 numbers is 17. When the number 37 is added to them, what is the new mean? (a) 22 (b) 27 (c) 17 (d) 21
  34. 34.What is the mean of 17, 9, 19, 2, 11 and 8? (a) 10 (b) 12 (c) 11 (d) 13
  35. 35.What is the mean of 5, 15, 10 and 10? (a) 10 (b) 8 (c) 11 (d) 9
  36. 36.What is the mean of 17, 8, 8 and 11? (a) 13 (b) 10 (c) 12 (d) 11
  37. 37.What is the mean of 16, 8, 6 and 18? (a) 16 (b) 13 (c) 11 (d) 12
  38. 38.What is the mean of 5, 15, 5, 3, 10 and 22? (a) 10 (b) 12 (c) 11 (d) 9
  39. 39.What is the median of 28, 18, 33, 11 and 9? (a) 33 (b) 18 (c) 11 (d) 28
  40. 40.What is the mean of 16, 8, 6 and 10? (a) 8 (b) 10 (c) 11 (d) 9

Answer key

  1. 23
  2. 10
  3. 5
  4. 14
  5. 17
  6. 1
  7. 16
  8. 23
  9. 8
  10. 25
  11. 15
  12. 14
  13. 15
  14. 25
  15. 8
  16. 12
  17. 3
  18. 25
  19. 10
  20. 2
  21. 35
  22. 10
  23. 10
  24. 10
  25. 13
  26. 9
  27. 38
  28. 7
  29. 9
  30. 14
  31. 11
  32. 19
  33. 21
  34. 11
  35. 10
  36. 11
  37. 12
  38. 10
  39. 18
  40. 10

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