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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 442 · 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 19, 9, 20, 17, 17, 20 and 17? (a) 9 (b) 19 (c) 17 (d) 20
  2. 2.What is the mode of 12, 20, 15, 20, 20, 12 and 1? (a) 1 (b) 12 (c) 15 (d) 20
  3. 3.What is the mode of 18, 1, 9, 9, 9, 18 and 20? (a) 1 (b) 9 (c) 20 (d) 18
  4. 4.What is the mode of 5, 2, 15, 15, 15, 2 and 7? (a) 15 (b) 2 (c) 5 (d) 7
  5. 5.What is the mean of 14, 6, 4 and 12? (a) 8 (b) 12 (c) 9 (d) 10
  6. 6.What is the median of 12, 18, 6, 4, 2, 28 and 35? (a) 18 (b) 4 (c) 12 (d) 15
  7. 7.What is the mode of 17, 9, 9, 9, 4, 17 and 3? (a) 4 (b) 9 (c) 3 (d) 17
  8. 8.What is the mode of 2, 3, 9, 3, 2, 14 and 3? (a) 14 (b) 9 (c) 2 (d) 3
  9. 9.The mean of 5 numbers is 19. When the number 7 is added to them, what is the new mean? (a) 19 (b) 17 (c) 13 (d) 18
  10. 10.The mean of 4 numbers is 15. When the number 30 is added to them, what is the new mean? (a) 15 (b) 17 (c) 18 (d) 19
  11. 11.What is the mean of 2, 13, 19 and 6? (a) 10 (b) 9 (c) 11 (d) 8
  12. 12.What is the mean of 13, 13, 10 and 16? (a) 14 (b) 13 (c) 12 (d) 15
  13. 13.The mean of 8 numbers is 19. When the number 46 is added to them, what is the new mean? (a) 21 (b) 19 (c) 22 (d) 23
  14. 14.What is the median of 14, 36, 6, 34 and 4? (a) 6 (b) 34 (c) 14 (d) 15
  15. 15.What is the mode of 5, 13, 13, 13, 20, 5 and 6? (a) 13 (b) 6 (c) 5 (d) 20
  16. 16.What is the mode of 3, 6, 2, 6, 4, 6 and 2? (a) 2 (b) 4 (c) 3 (d) 6
  17. 17.What is the median of 31, 12, 2, 28 and 23? (a) 2 (b) 23 (c) 28 (d) 12
  18. 18.What is the median of 33, 40, 36, 11 and 5? (a) 11 (b) 36 (c) 33 (d) 25
  19. 19.What is the mode of 13, 13, 10, 2, 3, 10 and 10? (a) 13 (b) 2 (c) 10 (d) 3
  20. 20.What is the mode of 12, 9, 9, 5, 15, 5 and 5? (a) 12 (b) 5 (c) 15 (d) 9
  21. 21.The mean of 3 numbers is 22. When the number 18 is added to them, what is the new mean? (a) 22 (b) 23 (c) 20 (d) 21
  22. 22.What is the median of 39, 35, 12, 22 and 28? (a) 22 (b) 28 (c) 35 (d) 12
  23. 23.What is the mean of 4, 19, 16, 12 and 9? (a) 13 (b) 15 (c) 12 (d) 10
  24. 24.The mean of 5 numbers is 15. When the number 9 is added to them, what is the new mean? (a) 14 (b) 13 (c) 12 (d) 15
  25. 25.What is the mode of 9, 4, 19, 9, 7, 4 and 9? (a) 19 (b) 7 (c) 4 (d) 9
  26. 26.What is the mode of 4, 4, 12, 3, 12, 4 and 10? (a) 12 (b) 3 (c) 4 (d) 10
  27. 27.What is the mode of 5, 7, 9, 8, 8, 9 and 9? (a) 7 (b) 8 (c) 9 (d) 5
  28. 28.The mean of 8 numbers is 12. When the number 3 is added to them, what is the new mean? (a) 10 (b) 12 (c) 13 (d) 11
  29. 29.What is the median of 3, 12, 7, 36, 10, 20 and 40? (a) 10 (b) 12 (c) 36 (d) 20
  30. 30.The mean of 8 numbers is 35. When the number 62 is added to them, what is the new mean? (a) 37 (b) 35 (c) 39 (d) 38
  31. 31.The mean of 3 numbers is 17. When the number 1 is added to them, what is the new mean? (a) 9 (b) 14 (c) 17 (d) 13
  32. 32.What is the median of 11, 19, 39, 38 and 22? (a) 39 (b) 19 (c) 22 (d) 38
  33. 33.What is the mode of 7, 20, 16, 8, 20, 8 and 8? (a) 7 (b) 16 (c) 8 (d) 20
  34. 34.What is the mean of 4, 17, 5, 8 and 21? (a) 13 (b) 11 (c) 12 (d) 10
  35. 35.What is the median of 25, 24, 34, 32 and 36? (a) 32 (b) 33 (c) 25 (d) 34
  36. 36.What is the median of 23, 12, 8, 27 and 4? (a) 13 (b) 12 (c) 23 (d) 8
  37. 37.What is the mode of 3, 4, 4, 4, 3, 10 and 13? (a) 13 (b) 4 (c) 10 (d) 3
  38. 38.What is the mode of 4, 3, 1, 1, 3, 12 and 1? (a) 12 (b) 4 (c) 1 (d) 3
  39. 39.What is the mode of 1, 5, 5, 12, 1, 18 and 1? (a) 18 (b) 1 (c) 12 (d) 5
  40. 40.What is the mean of 7, 16, 6 and 19? (a) 16 (b) 11 (c) 13 (d) 12

Answer key

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

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