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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 332 · 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 mode of 20, 20, 8, 20, 8, 3 and 15? (a) 3 (b) 20 (c) 15 (d) 8
  2. 2.What is the mean of 12, 5, 2 and 21? (a) 11 (b) 10 (c) 9 (d) 8
  3. 3.What is the mode of 18, 18, 18, 20, 9, 3 and 9? (a) 3 (b) 18 (c) 20 (d) 9
  4. 4.The mean of 4 numbers is 17. When the number 12 is added to them, what is the new mean? (a) 16 (b) 18 (c) 15 (d) 17
  5. 5.The mean of 3 numbers is 22. When the number 6 is added to them, what is the new mean? (a) 18 (b) 22 (c) 14 (d) 19
  6. 6.What is the mean of 13, 18, 15, 5, 16 and 23? (a) 15 (b) 16 (c) 14 (d) 18
  7. 7.What is the mean of 6, 6, 2, 18, 9 and 7? (a) 8 (b) 9 (c) 10 (d) 7
  8. 8.What is the mode of 13, 19, 3, 13, 3, 13 and 12? (a) 19 (b) 3 (c) 13 (d) 12
  9. 9.What is the mode of 11, 16, 11, 20, 10, 11 and 10? (a) 10 (b) 20 (c) 16 (d) 11
  10. 10.What is the mean of 6, 18, 15, 18, 14 and 13? (a) 13 (b) 12 (c) 14 (d) 15
  11. 11.The mean of 8 numbers is 31. When the number 49 is added to them, what is the new mean? (a) 33 (b) 34 (c) 31 (d) 40
  12. 12.What is the mean of 3, 7, 9 and 9? (a) 6 (b) 7 (c) 8 (d) 9
  13. 13.What is the mode of 5, 16, 19, 5, 14, 5 and 19? (a) 5 (b) 19 (c) 16 (d) 14
  14. 14.What is the mean of 15, 12, 8, 6, 19 and 24? (a) 13 (b) 12 (c) 14 (d) 15
  15. 15.The mean of 4 numbers is 21. When the number 16 is added to them, what is the new mean? (a) 21 (b) 22 (c) 19 (d) 20
  16. 16.What is the mean of 12, 19, 16, 7 and 21? (a) 16 (b) 15 (c) 14 (d) 17
  17. 17.The mean of 8 numbers is 39. When the number 57 is added to them, what is the new mean? (a) 48 (b) 41 (c) 42 (d) 39
  18. 18.What is the mean of 6, 12, 20 and 10? (a) 13 (b) 16 (c) 12 (d) 11
  19. 19.The mean of 6 numbers is 15. When the number 8 is added to them, what is the new mean? (a) 13 (b) 16 (c) 14 (d) 15
  20. 20.What is the median of 12, 35, 32, 39, 33, 37 and 23? (a) 33 (b) 39 (c) 35 (d) 32
  21. 21.What is the median of 24, 21, 6, 20 and 12? (a) 12 (b) 20 (c) 21 (d) 6
  22. 22.What is the mode of 1, 15, 15, 6, 15, 16 and 16? (a) 16 (b) 1 (c) 15 (d) 6
  23. 23.What is the median of 16, 21, 40, 9 and 10? (a) 21 (b) 40 (c) 10 (d) 16
  24. 24.What is the median of 12, 11, 15, 18 and 3? (a) 11 (b) 13 (c) 15 (d) 12
  25. 25.What is the mode of 10, 4, 4, 14, 8, 8 and 4? (a) 14 (b) 10 (c) 8 (d) 4
  26. 26.The mean of 7 numbers is 33. When the number 1 is added to them, what is the new mean? (a) 29 (b) 33 (c) 17 (d) 30
  27. 27.What is the median of 30, 27, 39, 19, 40, 8 and 10? (a) 19 (b) 28 (c) 30 (d) 27
  28. 28.What is the mode of 12, 17, 7, 12, 11, 11 and 11? (a) 7 (b) 12 (c) 11 (d) 17
  29. 29.What is the median of 1, 30, 11, 14, 2, 23 and 13? (a) 13 (b) 14 (c) 12 (d) 11
  30. 30.What is the mode of 19, 4, 16, 10, 10, 19 and 19? (a) 10 (b) 19 (c) 16 (d) 4
  31. 31.What is the mode of 4, 16, 15, 16, 4, 4 and 20? (a) 4 (b) 16 (c) 15 (d) 20
  32. 32.What is the mean of 17, 2, 3 and 6? (a) 8 (b) 7 (c) 6 (d) 9
  33. 33.What is the mode of 7, 2, 20, 20, 1, 2 and 2? (a) 1 (b) 20 (c) 7 (d) 2
  34. 34.What is the mode of 5, 10, 2, 2, 19, 2 and 5? (a) 2 (b) 10 (c) 19 (d) 5
  35. 35.What is the mean of 20, 5, 9 and 10? (a) 11 (b) 13 (c) 12 (d) 10
  36. 36.The mean of 7 numbers is 37. When the number 69 is added to them, what is the new mean? (a) 53 (b) 37 (c) 41 (d) 42
  37. 37.What is the mode of 17, 5, 7, 8, 5, 5 and 8? (a) 17 (b) 5 (c) 8 (d) 7
  38. 38.What is the median of 14, 38, 15, 1 and 19? (a) 16 (b) 19 (c) 14 (d) 15
  39. 39.What is the median of 34, 28, 3, 26, 4, 20 and 40? (a) 27 (b) 26 (c) 20 (d) 28
  40. 40.The mean of 5 numbers is 23. When the number 5 is added to them, what is the new mean? (a) 14 (b) 20 (c) 23 (d) 21

Answer key

  1. 20
  2. 10
  3. 18
  4. 16
  5. 18
  6. 15
  7. 8
  8. 13
  9. 11
  10. 14
  11. 33
  12. 7
  13. 5
  14. 14
  15. 20
  16. 15
  17. 41
  18. 12
  19. 14
  20. 33
  21. 20
  22. 15
  23. 16
  24. 12
  25. 4
  26. 29
  27. 27
  28. 11
  29. 13
  30. 19
  31. 4
  32. 7
  33. 2
  34. 2
  35. 11
  36. 41
  37. 5
  38. 15
  39. 26
  40. 20

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