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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 56 · 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 mean of 3, 11, 13 and 5? (a) 9 (b) 10 (c) 8 (d) 7
  2. 2.What is the median of 31, 22, 39, 28 and 7? (a) 39 (b) 22 (c) 31 (d) 28
  3. 3.What is the mode of 16, 14, 18, 13, 18, 13 and 18? (a) 13 (b) 14 (c) 18 (d) 16
  4. 4.What is the mean of 13, 6, 13, 15, 15 and 10? (a) 12 (b) 13 (c) 11 (d) 14
  5. 5.What is the mean of 18, 5, 3 and 6? (a) 10 (b) 9 (c) 8 (d) 7
  6. 6.The mean of 6 numbers is 37. When the number 16 is added to them, what is the new mean? (a) 35 (b) 34 (c) 33 (d) 37
  7. 7.What is the median of 37, 28, 7, 5, 3, 6 and 2? (a) 5 (b) 7 (c) 8 (d) 6
  8. 8.What is the median of 20, 10, 4, 5 and 33? (a) 20 (b) 4 (c) 5 (d) 10
  9. 9.What is the median of 14, 38, 6, 1 and 33? (a) 15 (b) 33 (c) 14 (d) 6
  10. 10.What is the mode of 17, 20, 20, 4, 17, 17 and 3? (a) 17 (b) 4 (c) 3 (d) 20
  11. 11.The mean of 5 numbers is 35. When the number 17 is added to them, what is the new mean? (a) 35 (b) 33 (c) 26 (d) 32
  12. 12.What is the mean of 20, 6, 6, 8, 20 and 18? (a) 12 (b) 13 (c) 14 (d) 15
  13. 13.What is the mode of 17, 2, 2, 17, 1, 2 and 12? (a) 17 (b) 1 (c) 2 (d) 12
  14. 14.What is the median of 40, 20, 37, 26, 8, 3 and 5? (a) 26 (b) 8 (c) 21 (d) 20
  15. 15.What is the mode of 1, 13, 16, 20, 13, 20 and 20? (a) 13 (b) 20 (c) 1 (d) 16
  16. 16.What is the mode of 6, 3, 20, 11, 6, 11 and 11? (a) 3 (b) 6 (c) 20 (d) 11
  17. 17.The mean of 8 numbers is 23. When the number 32 is added to them, what is the new mean? (a) 24 (b) 23 (c) 26 (d) 25
  18. 18.The mean of 6 numbers is 37. When the number 58 is added to them, what is the new mean? (a) 39 (b) 40 (c) 41 (d) 37
  19. 19.The mean of 7 numbers is 35. When the number 3 is added to them, what is the new mean? (a) 19 (b) 35 (c) 32 (d) 31
  20. 20.What is the median of 26, 32, 9, 25 and 16? (a) 26 (b) 16 (c) 25 (d) 9
  21. 21.What is the mode of 3, 2, 16, 16, 16, 7 and 7? (a) 3 (b) 16 (c) 7 (d) 2
  22. 22.What is the median of 12, 24, 30, 18 and 5? (a) 18 (b) 24 (c) 30 (d) 12
  23. 23.What is the median of 39, 10, 9, 35, 2, 27 and 15? (a) 15 (b) 35 (c) 10 (d) 27
  24. 24.What is the mean of 3, 5, 6, 19, 4 and 11? (a) 8 (b) 7 (c) 10 (d) 9
  25. 25.What is the median of 6, 1, 5, 36, 28, 16 and 14? (a) 14 (b) 6 (c) 36 (d) 16
  26. 26.The mean of 6 numbers is 10. When the number 17 is added to them, what is the new mean? (a) 11 (b) 10 (c) 13 (d) 12
  27. 27.What is the mean of 19, 14, 15, 10 and 7? (a) 12 (b) 13 (c) 14 (d) 15
  28. 28.What is the median of 7, 9, 8, 25, 15, 4 and 23? (a) 9 (b) 25 (c) 15 (d) 13
  29. 29.The mean of 8 numbers is 28. When the number 46 is added to them, what is the new mean? (a) 30 (b) 28 (c) 31 (d) 37
  30. 30.What is the median of 11, 23, 6, 8 and 38? (a) 6 (b) 8 (c) 23 (d) 11
  31. 31.What is the median of 20, 40, 38, 37 and 21? (a) 38 (b) 37 (c) 36 (d) 21
  32. 32.What is the mode of 17, 12, 19, 16, 17, 19 and 19? (a) 19 (b) 12 (c) 17 (d) 16
  33. 33.What is the mean of 13, 6, 3 and 10? (a) 9 (b) 7 (c) 8 (d) 10
  34. 34.What is the median of 25, 4, 15, 8 and 11? (a) 8 (b) 11 (c) 15 (d) 12
  35. 35.What is the median of 13, 25, 26, 30, 12, 33 and 22? (a) 26 (b) 30 (c) 25 (d) 23
  36. 36.What is the mean of 17, 13, 18 and 16? (a) 15 (b) 18 (c) 17 (d) 16
  37. 37.The mean of 9 numbers is 26. When the number 46 is added to them, what is the new mean? (a) 36 (b) 28 (c) 26 (d) 29
  38. 38.What is the median of 23, 10, 39, 21 and 38? (a) 38 (b) 23 (c) 21 (d) 39
  39. 39.What is the mode of 2, 10, 2, 10, 10, 5 and 3? (a) 3 (b) 10 (c) 2 (d) 5
  40. 40.What is the mode of 3, 17, 1, 6, 1, 6 and 6? (a) 1 (b) 3 (c) 17 (d) 6

Answer key

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

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