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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 710 · 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 10, 6, 3, 9, 10, 10 and 3? (a) 10 (b) 6 (c) 9 (d) 3
  2. 2.What is the median of 15, 26, 10, 5 and 33? (a) 16 (b) 10 (c) 15 (d) 26
  3. 3.What is the mean of 15, 14, 2, 17, 11 and 19? (a) 14 (b) 12 (c) 15 (d) 13
  4. 4.The mean of 3 numbers is 29. When the number 37 is added to them, what is the new mean? (a) 32 (b) 33 (c) 31 (d) 29
  5. 5.The mean of 4 numbers is 12. When the number 17 is added to them, what is the new mean? (a) 12 (b) 15 (c) 14 (d) 13
  6. 6.What is the mean of 19, 9, 6, 4 and 22? (a) 10 (b) 15 (c) 13 (d) 12
  7. 7.What is the mode of 19, 5, 4, 5, 19, 19 and 14? (a) 14 (b) 4 (c) 19 (d) 5
  8. 8.What is the mode of 19, 17, 9, 17, 11, 17 and 11? (a) 19 (b) 17 (c) 11 (d) 9
  9. 9.What is the median of 2, 11, 22, 37 and 24? (a) 11 (b) 24 (c) 23 (d) 22
  10. 10.The mean of 8 numbers is 13. When the number 31 is added to them, what is the new mean? (a) 16 (b) 13 (c) 22 (d) 15
  11. 11.What is the median of 19, 15, 38, 3 and 13? (a) 38 (b) 19 (c) 15 (d) 13
  12. 12.What is the mean of 8, 8, 20, 14, 2 and 14? (a) 10 (b) 11 (c) 12 (d) 13
  13. 13.The mean of 6 numbers is 22. When the number 43 is added to them, what is the new mean? (a) 24 (b) 26 (c) 25 (d) 22
  14. 14.What is the mean of 16, 2, 14, 18, 13 and 21? (a) 13 (b) 12 (c) 15 (d) 14
  15. 15.What is the median of 32, 5, 7, 10 and 33? (a) 32 (b) 10 (c) 7 (d) 11
  16. 16.What is the mode of 7, 7, 3, 15, 7, 15 and 10? (a) 15 (b) 10 (c) 3 (d) 7
  17. 17.What is the median of 7, 35, 25, 26, 5, 1 and 17? (a) 25 (b) 26 (c) 17 (d) 7
  18. 18.What is the mode of 17, 17, 3, 2, 1, 17 and 2? (a) 1 (b) 2 (c) 3 (d) 17
  19. 19.The mean of 4 numbers is 20. When the number 40 is added to them, what is the new mean? (a) 25 (b) 24 (c) 20 (d) 30
  20. 20.What is the mean of 4, 3, 20, 7, 7 and 19? (a) 10 (b) 11 (c) 9 (d) 12
  21. 21.The mean of 5 numbers is 39. When the number 45 is added to them, what is the new mean? (a) 42 (b) 41 (c) 40 (d) 39
  22. 22.What is the median of 22, 9, 16, 30, 3, 4 and 24? (a) 30 (b) 16 (c) 22 (d) 9
  23. 23.What is the mean of 19, 19, 7 and 3? (a) 13 (b) 12 (c) 11 (d) 16
  24. 24.What is the mode of 14, 18, 16, 18, 19, 18 and 19? (a) 16 (b) 18 (c) 14 (d) 19
  25. 25.What is the mean of 19, 15, 12, 4 and 5? (a) 10 (b) 12 (c) 13 (d) 11
  26. 26.The mean of 4 numbers is 26. When the number 36 is added to them, what is the new mean? (a) 31 (b) 26 (c) 29 (d) 28
  27. 27.The mean of 8 numbers is 17. When the number 44 is added to them, what is the new mean? (a) 21 (b) 17 (c) 19 (d) 20
  28. 28.What is the mode of 14, 1, 14, 20, 1, 10 and 14? (a) 10 (b) 14 (c) 1 (d) 20
  29. 29.What is the median of 39, 2, 7, 11 and 8? (a) 11 (b) 7 (c) 8 (d) 9
  30. 30.The mean of 9 numbers is 12. When the number 52 is added to them, what is the new mean? (a) 17 (b) 12 (c) 32 (d) 16
  31. 31.What is the mean of 13, 3, 7, 11 and 11? (a) 9 (b) 11 (c) 8 (d) 10
  32. 32.What is the mean of 18, 11, 13, 7, 11 and 6? (a) 13 (b) 10 (c) 12 (d) 11
  33. 33.What is the median of 11, 19, 36, 28 and 15? (a) 36 (b) 19 (c) 15 (d) 28
  34. 34.What is the mode of 12, 19, 5, 12, 5, 11 and 12? (a) 11 (b) 12 (c) 5 (d) 19
  35. 35.What is the median of 6, 7, 33, 30, 20, 27 and 19? (a) 27 (b) 20 (c) 30 (d) 19
  36. 36.The mean of 4 numbers is 35. When the number 40 is added to them, what is the new mean? (a) 38 (b) 35 (c) 36 (d) 37
  37. 37.What is the mode of 7, 3, 6, 4, 3, 6 and 3? (a) 6 (b) 7 (c) 4 (d) 3
  38. 38.What is the mode of 12, 6, 9, 11, 11, 12 and 11? (a) 9 (b) 11 (c) 6 (d) 12
  39. 39.The mean of 4 numbers is 29. When the number 34 is added to them, what is the new mean? (a) 32 (b) 29 (c) 30 (d) 31
  40. 40.What is the mode of 11, 4, 11, 19, 11, 15 and 4? (a) 4 (b) 11 (c) 19 (d) 15

Answer key

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

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