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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 370 · 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, 2, 12, 17 and 11? (a) 9 (b) 10 (c) 11 (d) 8
  2. 2.What is the median of 13, 6, 24, 8 and 35? (a) 24 (b) 14 (c) 13 (d) 8
  3. 3.What is the median of 39, 8, 2, 21, 11, 3 and 33? (a) 11 (b) 8 (c) 21 (d) 12
  4. 4.What is the median of 30, 26, 9, 18 and 22? (a) 21 (b) 26 (c) 9 (d) 22
  5. 5.What is the mean of 2, 3, 12, 14 and 19? (a) 11 (b) 10 (c) 12 (d) 9
  6. 6.What is the mean of 13, 20, 5, 13 and 9? (a) 15 (b) 12 (c) 10 (d) 13
  7. 7.What is the mode of 4, 3, 4, 1, 15, 4 and 1? (a) 15 (b) 4 (c) 3 (d) 1
  8. 8.What is the mode of 7, 12, 5, 12, 19, 12 and 5? (a) 5 (b) 12 (c) 19 (d) 7
  9. 9.What is the median of 19, 12, 32, 18, 13, 2 and 31? (a) 13 (b) 19 (c) 18 (d) 17
  10. 10.What is the mode of 3, 1, 2, 1, 1, 14 and 14? (a) 1 (b) 3 (c) 2 (d) 14
  11. 11.What is the mean of 7, 2, 16 and 3? (a) 8 (b) 9 (c) 7 (d) 6
  12. 12.What is the mean of 11, 11, 6 and 12? (a) 9 (b) 8 (c) 10 (d) 11
  13. 13.The mean of 5 numbers is 20. When the number 32 is added to them, what is the new mean? (a) 22 (b) 23 (c) 20 (d) 26
  14. 14.What is the mode of 7, 3, 5, 5, 5, 1 and 3? (a) 7 (b) 5 (c) 3 (d) 1
  15. 15.What is the mean of 6, 18, 4, 11 and 21? (a) 10 (b) 15 (c) 13 (d) 12
  16. 16.The mean of 5 numbers is 11. When the number 35 is added to them, what is the new mean? (a) 11 (b) 16 (c) 23 (d) 15
  17. 17.The mean of 5 numbers is 33. When the number 45 is added to them, what is the new mean? (a) 33 (b) 39 (c) 36 (d) 35
  18. 18.What is the median of 15, 27, 25, 12, 37, 35 and 9? (a) 15 (b) 25 (c) 12 (d) 27
  19. 19.What is the mode of 15, 14, 12, 14, 2, 15 and 15? (a) 15 (b) 12 (c) 14 (d) 2
  20. 20.What is the mode of 18, 20, 1, 16, 1, 1 and 20? (a) 20 (b) 1 (c) 16 (d) 18
  21. 21.What is the mode of 7, 9, 7, 2, 6, 7 and 9? (a) 2 (b) 9 (c) 7 (d) 6
  22. 22.What is the mean of 12, 14, 10 and 8? (a) 13 (b) 11 (c) 12 (d) 10
  23. 23.What is the median of 8, 20, 36, 30 and 9? (a) 36 (b) 30 (c) 20 (d) 9
  24. 24.The mean of 3 numbers is 33. When the number 45 is added to them, what is the new mean? (a) 36 (b) 37 (c) 33 (d) 39
  25. 25.What is the mean of 13, 8, 6, 5, 11 and 11? (a) 9 (b) 10 (c) 8 (d) 11
  26. 26.What is the median of 18, 12, 13, 23, 5, 16 and 15? (a) 16 (b) 23 (c) 15 (d) 13
  27. 27.What is the median of 17, 12, 3, 20, 27, 8 and 28? (a) 12 (b) 17 (c) 18 (d) 20
  28. 28.What is the median of 33, 16, 35, 22, 28, 34 and 1? (a) 22 (b) 28 (c) 29 (d) 33
  29. 29.What is the mean of 13, 4, 14 and 17? (a) 12 (b) 13 (c) 16 (d) 11
  30. 30.What is the median of 27, 31, 3, 8, 23, 19 and 16? (a) 8 (b) 16 (c) 19 (d) 23
  31. 31.What is the mode of 6, 5, 15, 4, 4, 4 and 15? (a) 4 (b) 6 (c) 5 (d) 15
  32. 32.The mean of 7 numbers is 13. When the number 45 is added to them, what is the new mean? (a) 29 (b) 18 (c) 13 (d) 17
  33. 33.What is the mean of 7, 11, 13 and 13? (a) 10 (b) 12 (c) 11 (d) 13
  34. 34.What is the median of 1, 16, 36, 9, 40, 34 and 14? (a) 9 (b) 14 (c) 34 (d) 16
  35. 35.What is the mode of 5, 5, 19, 3, 14, 5 and 19? (a) 5 (b) 3 (c) 19 (d) 14
  36. 36.What is the mode of 17, 14, 17, 7, 20, 7 and 7? (a) 7 (b) 20 (c) 14 (d) 17
  37. 37.What is the median of 13, 29, 26, 40 and 24? (a) 29 (b) 24 (c) 27 (d) 26
  38. 38.The mean of 6 numbers is 33. When the number 47 is added to them, what is the new mean? (a) 33 (b) 36 (c) 40 (d) 35
  39. 39.What is the median of 39, 17, 34, 29, 31, 20 and 5? (a) 25 (b) 31 (c) 20 (d) 29
  40. 40.What is the median of 33, 37, 11, 1 and 12? (a) 33 (b) 13 (c) 12 (d) 11

Answer key

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

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