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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 296 · 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.What is the median of 7, 2, 32, 39 and 16? (a) 32 (b) 16 (c) 17 (d) 7
  2. 2.The mean of 5 numbers is 37. When the number 43 is added to them, what is the new mean? (a) 37 (b) 38 (c) 39 (d) 40
  3. 3.The mean of 9 numbers is 24. When the number 4 is added to them, what is the new mean? (a) 23 (b) 14 (c) 24 (d) 22
  4. 4.The mean of 6 numbers is 24. When the number 52 is added to them, what is the new mean? (a) 38 (b) 24 (c) 28 (d) 29
  5. 5.What is the mode of 10, 7, 19, 1, 1, 19 and 19? (a) 1 (b) 10 (c) 7 (d) 19
  6. 6.What is the mode of 7, 16, 8, 11, 11, 7 and 7? (a) 11 (b) 8 (c) 16 (d) 7
  7. 7.What is the mode of 4, 20, 10, 5, 4, 5 and 5? (a) 10 (b) 4 (c) 20 (d) 5
  8. 8.What is the mode of 16, 16, 6, 8, 16, 3 and 6? (a) 3 (b) 8 (c) 16 (d) 6
  9. 9.The mean of 7 numbers is 11. When the number 43 is added to them, what is the new mean? (a) 15 (b) 11 (c) 16 (d) 27
  10. 10.What is the mode of 2, 19, 5, 5, 19, 19 and 1? (a) 5 (b) 19 (c) 1 (d) 2
  11. 11.The mean of 5 numbers is 29. When the number 17 is added to them, what is the new mean? (a) 23 (b) 29 (c) 27 (d) 28
  12. 12.The mean of 9 numbers is 29. When the number 69 is added to them, what is the new mean? (a) 34 (b) 29 (c) 49 (d) 33
  13. 13.What is the mean of 5, 4, 5, 20 and 21? (a) 13 (b) 12 (c) 10 (d) 11
  14. 14.What is the mode of 19, 4, 4, 13, 16, 13 and 13? (a) 13 (b) 16 (c) 4 (d) 19
  15. 15.What is the mean of 8, 8, 8, 17, 13 and 12? (a) 13 (b) 10 (c) 11 (d) 12
  16. 16.What is the mean of 8, 17, 9, 2 and 9? (a) 8 (b) 9 (c) 11 (d) 10
  17. 17.What is the mode of 1, 3, 17, 8, 8, 17 and 8? (a) 8 (b) 3 (c) 17 (d) 1
  18. 18.The mean of 8 numbers is 20. When the number 2 is added to them, what is the new mean? (a) 20 (b) 11 (c) 19 (d) 18
  19. 19.What is the mean of 20, 10, 3 and 23? (a) 14 (b) 15 (c) 13 (d) 16
  20. 20.What is the mode of 17, 17, 18, 1, 15, 1 and 17? (a) 18 (b) 1 (c) 17 (d) 15
  21. 21.The mean of 5 numbers is 38. When the number 32 is added to them, what is the new mean? (a) 38 (b) 35 (c) 37 (d) 36
  22. 22.What is the mean of 18, 9, 10 and 11? (a) 16 (b) 13 (c) 12 (d) 11
  23. 23.What is the mode of 3, 17, 17, 1, 17, 3 and 20? (a) 20 (b) 1 (c) 17 (d) 3
  24. 24.The mean of 4 numbers is 10. When the number 25 is added to them, what is the new mean? (a) 14 (b) 13 (c) 12 (d) 10
  25. 25.What is the median of 22, 4, 14, 34 and 3? (a) 22 (b) 15 (c) 4 (d) 14
  26. 26.What is the median of 12, 19, 40, 24, 1, 23 and 37? (a) 23 (b) 19 (c) 22 (d) 24
  27. 27.What is the mean of 9, 5, 3 and 7? (a) 6 (b) 8 (c) 7 (d) 5
  28. 28.What is the mean of 9, 19, 12 and 20? (a) 16 (b) 12 (c) 20 (d) 15
  29. 29.The mean of 9 numbers is 21. When the number 11 is added to them, what is the new mean? (a) 16 (b) 19 (c) 21 (d) 20
  30. 30.The mean of 6 numbers is 36. When the number 64 is added to them, what is the new mean? (a) 41 (b) 40 (c) 36 (d) 50
  31. 31.What is the median of 24, 21, 17, 12, 19, 3 and 35? (a) 12 (b) 21 (c) 17 (d) 19
  32. 32.What is the mean of 10, 4, 16 and 18? (a) 12 (b) 16 (c) 11 (d) 13
  33. 33.What is the mode of 12, 10, 12, 12, 11, 10 and 15? (a) 10 (b) 11 (c) 12 (d) 15
  34. 34.What is the mean of 5, 14, 2 and 19? (a) 11 (b) 9 (c) 8 (d) 10
  35. 35.The mean of 7 numbers is 23. When the number 15 is added to them, what is the new mean? (a) 19 (b) 22 (c) 21 (d) 23
  36. 36.The mean of 9 numbers is 37. When the number 17 is added to them, what is the new mean? (a) 27 (b) 37 (c) 35 (d) 36
  37. 37.What is the mean of 9, 4, 10, 6, 15 and 10? (a) 10 (b) 9 (c) 8 (d) 11
  38. 38.What is the median of 22, 3, 16, 27 and 11? (a) 22 (b) 17 (c) 11 (d) 16
  39. 39.What is the mode of 2, 4, 19, 6, 4, 2 and 4? (a) 6 (b) 4 (c) 2 (d) 19
  40. 40.What is the mean of 3, 5, 5, 19, 17 and 11? (a) 10 (b) 11 (c) 9 (d) 12

Answer key

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

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