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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 120 · 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.The mean of 3 numbers is 10. When the number 6 is added to them, what is the new mean? (a) 8 (b) 11 (c) 9 (d) 10
  2. 2.What is the mode of 3, 3, 10, 19, 18, 10 and 3? (a) 10 (b) 18 (c) 3 (d) 19
  3. 3.What is the mode of 19, 5, 5, 18, 18, 9 and 18? (a) 18 (b) 9 (c) 19 (d) 5
  4. 4.What is the mode of 10, 4, 5, 3, 5, 10 and 10? (a) 5 (b) 4 (c) 10 (d) 3
  5. 5.The mean of 5 numbers is 30. When the number 12 is added to them, what is the new mean? (a) 21 (b) 27 (c) 30 (d) 28
  6. 6.What is the mean of 3, 8, 14, 6 and 19? (a) 11 (b) 9 (c) 10 (d) 12
  7. 7.The mean of 6 numbers is 35. When the number 42 is added to them, what is the new mean? (a) 35 (b) 38 (c) 37 (d) 36
  8. 8.What is the mean of 6, 7, 10 and 17? (a) 9 (b) 11 (c) 10 (d) 8
  9. 9.What is the mode of 4, 4, 19, 16, 7, 4 and 16? (a) 16 (b) 7 (c) 4 (d) 19
  10. 10.What is the mean of 19, 2, 5 and 2? (a) 8 (b) 6 (c) 9 (d) 7
  11. 11.The mean of 5 numbers is 24. When the number 30 is added to them, what is the new mean? (a) 26 (b) 24 (c) 25 (d) 27
  12. 12.What is the median of 33, 19, 40, 5, 13, 2 and 28? (a) 20 (b) 5 (c) 19 (d) 28
  13. 13.What is the mean of 17, 16, 14, 2, 2 and 21? (a) 12 (b) 11 (c) 13 (d) 14
  14. 14.The mean of 6 numbers is 25. When the number 11 is added to them, what is the new mean? (a) 23 (b) 25 (c) 18 (d) 24
  15. 15.What is the mode of 17, 6, 8, 1, 6, 17 and 6? (a) 8 (b) 6 (c) 1 (d) 17
  16. 16.The mean of 4 numbers is 36. When the number 46 is added to them, what is the new mean? (a) 39 (b) 41 (c) 38 (d) 36
  17. 17.What is the mode of 12, 3, 1, 17, 17, 1 and 17? (a) 1 (b) 12 (c) 3 (d) 17
  18. 18.What is the mode of 18, 17, 4, 4, 2, 4 and 17? (a) 4 (b) 18 (c) 2 (d) 17
  19. 19.The mean of 9 numbers is 36. When the number 76 is added to them, what is the new mean? (a) 40 (b) 36 (c) 41 (d) 56
  20. 20.What is the mode of 9, 5, 9, 4, 5, 9 and 3? (a) 5 (b) 4 (c) 9 (d) 3
  21. 21.What is the mode of 5, 3, 7, 15, 15, 5 and 15? (a) 5 (b) 7 (c) 3 (d) 15
  22. 22.What is the mode of 6, 20, 20, 4, 19, 4 and 4? (a) 6 (b) 4 (c) 19 (d) 20
  23. 23.What is the mode of 18, 11, 1, 1, 2, 1 and 18? (a) 11 (b) 18 (c) 2 (d) 1
  24. 24.What is the mode of 7, 18, 18, 18, 7, 1 and 17? (a) 1 (b) 7 (c) 17 (d) 18
  25. 25.The mean of 3 numbers is 22. When the number 10 is added to them, what is the new mean? (a) 20 (b) 22 (c) 16 (d) 19
  26. 26.What is the mode of 4, 6, 6, 6, 16, 11 and 11? (a) 6 (b) 16 (c) 4 (d) 11
  27. 27.What is the mode of 2, 2, 19, 11, 8, 2 and 8? (a) 2 (b) 8 (c) 19 (d) 11
  28. 28.What is the mean of 2, 6, 14, 19, 20 and 11? (a) 13 (b) 12 (c) 14 (d) 11
  29. 29.What is the mean of 6, 11, 16 and 7? (a) 11 (b) 9 (c) 10 (d) 8
  30. 30.What is the mode of 16, 12, 7, 5, 5, 5 and 12? (a) 12 (b) 7 (c) 5 (d) 16
  31. 31.The mean of 5 numbers is 24. When the number 6 is added to them, what is the new mean? (a) 24 (b) 22 (c) 21 (d) 15
  32. 32.What is the mean of 12, 11, 18, 4, 4 and 11? (a) 9 (b) 10 (c) 12 (d) 11
  33. 33.What is the mode of 14, 19, 2, 19, 9, 19 and 9? (a) 2 (b) 19 (c) 14 (d) 9
  34. 34.The mean of 9 numbers is 18. When the number 28 is added to them, what is the new mean? (a) 20 (b) 18 (c) 23 (d) 19
  35. 35.What is the median of 5, 31, 30, 21, 28, 39 and 6? (a) 28 (b) 21 (c) 29 (d) 30
  36. 36.What is the mode of 3, 1, 14, 8, 1, 8 and 1? (a) 1 (b) 3 (c) 8 (d) 14
  37. 37.The mean of 5 numbers is 36. When the number 42 is added to them, what is the new mean? (a) 38 (b) 39 (c) 37 (d) 36
  38. 38.What is the mode of 15, 11, 11, 19, 2, 15 and 15? (a) 11 (b) 19 (c) 2 (d) 15
  39. 39.What is the mode of 9, 9, 14, 17, 17, 6 and 17? (a) 14 (b) 17 (c) 9 (d) 6
  40. 40.What is the mode of 5, 14, 15, 5, 14, 5 and 17? (a) 14 (b) 15 (c) 5 (d) 17

Answer key

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

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