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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 112 · 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 12, 1, 4, 12, 12, 10 and 1? (a) 4 (b) 1 (c) 10 (d) 12
  2. 2.What is the mode of 11, 17, 18, 11, 2, 17 and 17? (a) 18 (b) 11 (c) 17 (d) 2
  3. 3.What is the mean of 2, 7, 7 and 12? (a) 7 (b) 9 (c) 6 (d) 8
  4. 4.What is the mode of 7, 5, 4, 1, 4, 5 and 4? (a) 4 (b) 5 (c) 7 (d) 1
  5. 5.What is the mode of 2, 3, 17, 19, 3, 3 and 17? (a) 17 (b) 2 (c) 19 (d) 3
  6. 6.The mean of 5 numbers is 12. When the number 6 is added to them, what is the new mean? (a) 10 (b) 9 (c) 11 (d) 12
  7. 7.What is the mean of 8, 9, 12, 4, 7 and 8? (a) 7 (b) 10 (c) 9 (d) 8
  8. 8.The mean of 4 numbers is 38. When the number 18 is added to them, what is the new mean? (a) 35 (b) 34 (c) 38 (d) 28
  9. 9.The mean of 3 numbers is 38. When the number 42 is added to them, what is the new mean? (a) 40 (b) 38 (c) 41 (d) 39
  10. 10.What is the median of 24, 11, 26, 12, 20, 27 and 33? (a) 12 (b) 20 (c) 26 (d) 24
  11. 11.What is the median of 37, 24, 35, 14, 34, 19 and 6? (a) 19 (b) 14 (c) 24 (d) 34
  12. 12.What is the median of 4, 38, 2, 13 and 3? (a) 12 (b) 13 (c) 4 (d) 2
  13. 13.What is the median of 9, 19, 34, 33 and 5? (a) 34 (b) 33 (c) 20 (d) 19
  14. 14.What is the median of 2, 8, 5, 30 and 32? (a) 30 (b) 9 (c) 8 (d) 5
  15. 15.What is the median of 18, 14, 36, 19 and 21? (a) 19 (b) 18 (c) 36 (d) 21
  16. 16.What is the median of 1, 11, 3, 17 and 36? (a) 3 (b) 11 (c) 12 (d) 17
  17. 17.The mean of 5 numbers is 40. When the number 34 is added to them, what is the new mean? (a) 37 (b) 39 (c) 40 (d) 38
  18. 18.What is the mode of 11, 8, 11, 8, 16, 12 and 11? (a) 16 (b) 11 (c) 8 (d) 12
  19. 19.What is the mode of 15, 2, 15, 6, 7, 2 and 15? (a) 6 (b) 7 (c) 2 (d) 15
  20. 20.What is the median of 7, 33, 38, 8 and 39? (a) 33 (b) 38 (c) 25 (d) 8
  21. 21.What is the mean of 10, 2, 6 and 18? (a) 12 (b) 8 (c) 9 (d) 10
  22. 22.What is the mode of 1, 2, 1, 10, 5, 2 and 2? (a) 1 (b) 10 (c) 2 (d) 5
  23. 23.What is the mode of 9, 9, 1, 19, 19, 9 and 16? (a) 1 (b) 16 (c) 19 (d) 9
  24. 24.What is the mode of 2, 1, 19, 1, 2, 12 and 2? (a) 19 (b) 2 (c) 12 (d) 1
  25. 25.What is the median of 17, 10, 11, 19, 15, 6 and 14? (a) 15 (b) 19 (c) 14 (d) 11
  26. 26.What is the median of 37, 16, 34, 33 and 23? (a) 34 (b) 32 (c) 33 (d) 23
  27. 27.What is the mode of 15, 6, 1, 15, 5, 5 and 15? (a) 5 (b) 15 (c) 6 (d) 1
  28. 28.What is the median of 22, 26, 25, 14 and 32? (a) 26 (b) 22 (c) 25 (d) 24
  29. 29.What is the median of 27, 8, 12, 16 and 40? (a) 16 (b) 27 (c) 17 (d) 12
  30. 30.What is the mode of 17, 19, 6, 17, 4, 19 and 19? (a) 19 (b) 17 (c) 4 (d) 6
  31. 31.The mean of 4 numbers is 33. When the number 53 is added to them, what is the new mean? (a) 37 (b) 38 (c) 43 (d) 33
  32. 32.What is the median of 30, 15, 9, 16, 8, 35 and 21? (a) 21 (b) 16 (c) 15 (d) 17
  33. 33.The mean of 8 numbers is 18. When the number 45 is added to them, what is the new mean? (a) 21 (b) 18 (c) 20 (d) 22
  34. 34.What is the mean of 5, 12, 11, 12, 11 and 21? (a) 11 (b) 12 (c) 14 (d) 13
  35. 35.What is the mean of 9, 11, 6 and 6? (a) 7 (b) 8 (c) 10 (d) 9
  36. 36.What is the median of 16, 7, 3, 39, 5, 1 and 19? (a) 16 (b) 5 (c) 39 (d) 7
  37. 37.What is the mean of 2, 7, 7, 9 and 5? (a) 5 (b) 6 (c) 7 (d) 8
  38. 38.What is the mean of 9, 10, 5, 5, 15 and 10? (a) 11 (b) 10 (c) 8 (d) 9
  39. 39.The mean of 3 numbers is 18. When the number 6 is added to them, what is the new mean? (a) 18 (b) 15 (c) 16 (d) 12
  40. 40.The mean of 8 numbers is 27. When the number 18 is added to them, what is the new mean? (a) 25 (b) 27 (c) 28 (d) 26

Answer key

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

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