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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 641 · 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 14, 14, 9, 8, 9, 16 and 14? (a) 8 (b) 14 (c) 16 (d) 9
  2. 2.What is the median of 12, 9, 40, 32, 18, 31 and 8? (a) 31 (b) 32 (c) 12 (d) 18
  3. 3.What is the mean of 3, 8, 9, 8, 5 and 3? (a) 5 (b) 7 (c) 8 (d) 6
  4. 4.What is the mode of 17, 15, 20, 16, 20, 17 and 20? (a) 16 (b) 20 (c) 17 (d) 15
  5. 5.What is the median of 20, 29, 25, 28 and 30? (a) 28 (b) 29 (c) 27 (d) 25
  6. 6.What is the mean of 19, 14, 17, 9 and 21? (a) 17 (b) 16 (c) 20 (d) 15
  7. 7.What is the median of 29, 38, 16, 9 and 26? (a) 16 (b) 26 (c) 27 (d) 29
  8. 8.The mean of 3 numbers is 29. When the number 45 is added to them, what is the new mean? (a) 37 (b) 34 (c) 33 (d) 29
  9. 9.What is the median of 18, 25, 32, 4, 2, 26 and 39? (a) 25 (b) 4 (c) 18 (d) 26
  10. 10.The mean of 3 numbers is 33. When the number 21 is added to them, what is the new mean? (a) 27 (b) 33 (c) 30 (d) 31
  11. 11.What is the mean of 3, 12, 20 and 13? (a) 16 (b) 13 (c) 12 (d) 11
  12. 12.What is the mean of 3, 9, 18, 11, 20 and 11? (a) 11 (b) 12 (c) 14 (d) 13
  13. 13.The mean of 3 numbers is 26. When the number 34 is added to them, what is the new mean? (a) 30 (b) 26 (c) 29 (d) 28
  14. 14.What is the median of 17, 38, 3, 33 and 11? (a) 33 (b) 11 (c) 17 (d) 3
  15. 15.What is the median of 25, 5, 30, 24 and 36? (a) 26 (b) 25 (c) 24 (d) 30
  16. 16.What is the mode of 5, 18, 18, 4, 18, 14 and 14? (a) 5 (b) 4 (c) 18 (d) 14
  17. 17.What is the mode of 8, 3, 8, 11, 3, 16 and 3? (a) 16 (b) 3 (c) 8 (d) 11
  18. 18.What is the mean of 12, 9, 14, 9, 4 and 6? (a) 8 (b) 10 (c) 11 (d) 9
  19. 19.The mean of 8 numbers is 36. When the number 72 is added to them, what is the new mean? (a) 54 (b) 41 (c) 40 (d) 36
  20. 20.The mean of 3 numbers is 19. When the number 27 is added to them, what is the new mean? (a) 19 (b) 21 (c) 22 (d) 23
  21. 21.What is the mean of 3, 11, 2, 17, 18 and 3? (a) 8 (b) 10 (c) 9 (d) 11
  22. 22.What is the mode of 6, 5, 20, 6, 20, 20 and 4? (a) 4 (b) 6 (c) 20 (d) 5
  23. 23.What is the mean of 12, 19, 17, 15 and 17? (a) 15 (b) 16 (c) 20 (d) 17
  24. 24.What is the mean of 16, 2, 12 and 22? (a) 12 (b) 15 (c) 14 (d) 13
  25. 25.What is the median of 34, 15, 30, 38, 1, 40 and 10? (a) 24 (b) 30 (c) 34 (d) 38
  26. 26.What is the median of 13, 23, 27, 20, 6, 2 and 30? (a) 23 (b) 21 (c) 20 (d) 13
  27. 27.What is the mean of 8, 17, 11, 10 and 19? (a) 15 (b) 13 (c) 14 (d) 12
  28. 28.What is the median of 16, 12, 23, 19, 2, 35 and 7? (a) 12 (b) 19 (c) 16 (d) 17
  29. 29.What is the mean of 20, 18, 10, 18 and 19? (a) 19 (b) 18 (c) 17 (d) 16
  30. 30.What is the mean of 6, 14, 2 and 6? (a) 8 (b) 9 (c) 6 (d) 7
  31. 31.What is the median of 2, 23, 32, 36 and 4? (a) 24 (b) 32 (c) 23 (d) 4
  32. 32.What is the mode of 3, 3, 10, 4, 3, 12 and 10? (a) 10 (b) 12 (c) 4 (d) 3
  33. 33.The mean of 3 numbers is 38. When the number 50 is added to them, what is the new mean? (a) 44 (b) 41 (c) 38 (d) 42
  34. 34.What is the mean of 14, 9, 5 and 4? (a) 9 (b) 10 (c) 7 (d) 8
  35. 35.What is the mean of 6, 17, 12, 4, 16 and 11? (a) 12 (b) 13 (c) 11 (d) 10
  36. 36.The mean of 3 numbers is 13. When the number 17 is added to them, what is the new mean? (a) 13 (b) 15 (c) 14 (d) 16
  37. 37.What is the mean of 2, 16, 17 and 5? (a) 11 (b) 8 (c) 9 (d) 10
  38. 38.The mean of 6 numbers is 15. When the number 1 is added to them, what is the new mean? (a) 14 (b) 15 (c) 13 (d) 8
  39. 39.The mean of 4 numbers is 26. When the number 21 is added to them, what is the new mean? (a) 27 (b) 24 (c) 25 (d) 26
  40. 40.What is the mean of 15, 20, 5 and 20? (a) 16 (b) 20 (c) 15 (d) 12

Answer key

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

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