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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 523 · 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 mean of 18, 10, 4, 17, 5 and 12? (a) 13 (b) 12 (c) 10 (d) 11
  2. 2.What is the mode of 19, 16, 12, 6, 6, 16 and 16? (a) 19 (b) 6 (c) 12 (d) 16
  3. 3.What is the mode of 5, 7, 15, 5, 7, 5 and 2? (a) 5 (b) 7 (c) 2 (d) 15
  4. 4.What is the median of 18, 10, 20, 11 and 38? (a) 18 (b) 19 (c) 11 (d) 20
  5. 5.What is the mean of 9, 4, 3, 4, 20 and 14? (a) 11 (b) 10 (c) 9 (d) 8
  6. 6.What is the median of 8, 27, 3, 34 and 22? (a) 27 (b) 8 (c) 3 (d) 22
  7. 7.The mean of 9 numbers is 26. When the number 16 is added to them, what is the new mean? (a) 21 (b) 26 (c) 25 (d) 24
  8. 8.What is the mean of 7, 2, 4, 17, 15 and 15? (a) 10 (b) 12 (c) 11 (d) 9
  9. 9.What is the median of 34, 9, 27, 2 and 28? (a) 9 (b) 27 (c) 28 (d) 20
  10. 10.The mean of 7 numbers is 36. When the number 12 is added to them, what is the new mean? (a) 24 (b) 34 (c) 36 (d) 33
  11. 11.What is the mean of 18, 16, 12, 19 and 20? (a) 18 (b) 16 (c) 19 (d) 17
  12. 12.What is the mean of 4, 12, 14 and 10? (a) 9 (b) 10 (c) 11 (d) 8
  13. 13.The mean of 3 numbers is 38. When the number 26 is added to them, what is the new mean? (a) 38 (b) 36 (c) 35 (d) 32
  14. 14.What is the mean of 6, 15, 2 and 13? (a) 12 (b) 9 (c) 10 (d) 8
  15. 15.What is the median of 27, 21, 17, 33 and 3? (a) 27 (b) 17 (c) 22 (d) 21
  16. 16.What is the median of 8, 33, 11, 10, 19, 20 and 37? (a) 19 (b) 11 (c) 20 (d) 10
  17. 17.What is the mode of 2, 17, 7, 17, 2, 2 and 15? (a) 2 (b) 15 (c) 7 (d) 17
  18. 18.What is the mean of 5, 7, 3, 14, 10 and 21? (a) 11 (b) 10 (c) 12 (d) 9
  19. 19.What is the median of 7, 34, 36, 28, 22, 3 and 35? (a) 29 (b) 22 (c) 28 (d) 34
  20. 20.What is the mode of 19, 8, 10, 8, 7, 7 and 7? (a) 8 (b) 10 (c) 7 (d) 19
  21. 21.What is the median of 1, 24, 2, 30, 18, 7 and 25? (a) 7 (b) 24 (c) 18 (d) 30
  22. 22.The mean of 7 numbers is 29. When the number 61 is added to them, what is the new mean? (a) 34 (b) 45 (c) 29 (d) 33
  23. 23.What is the median of 39, 24, 4, 38 and 28? (a) 24 (b) 28 (c) 38 (d) 4
  24. 24.What is the median of 39, 27, 35, 23 and 7? (a) 28 (b) 23 (c) 35 (d) 27
  25. 25.What is the mean of 2, 14, 17, 15 and 7? (a) 10 (b) 13 (c) 12 (d) 11
  26. 26.What is the median of 34, 3, 20, 23, 31, 29 and 10? (a) 20 (b) 23 (c) 24 (d) 29
  27. 27.What is the mean of 14, 2, 4, 18 and 7? (a) 8 (b) 9 (c) 10 (d) 11
  28. 28.What is the median of 34, 9, 35, 11 and 15? (a) 15 (b) 35 (c) 34 (d) 11
  29. 29.What is the median of 27, 11, 38, 16, 20, 30 and 18? (a) 20 (b) 18 (c) 16 (d) 27
  30. 30.What is the median of 9, 1, 24, 13, 12, 37 and 23? (a) 12 (b) 13 (c) 17 (d) 23
  31. 31.What is the mode of 20, 20, 3, 7, 13, 3 and 20? (a) 20 (b) 7 (c) 13 (d) 3
  32. 32.What is the mode of 15, 8, 17, 17, 17, 12 and 15? (a) 15 (b) 17 (c) 8 (d) 12
  33. 33.What is the mean of 19, 4, 6 and 19? (a) 12 (b) 13 (c) 16 (d) 11
  34. 34.The mean of 5 numbers is 37. When the number 61 is added to them, what is the new mean? (a) 42 (b) 37 (c) 49 (d) 41
  35. 35.The mean of 4 numbers is 35. When the number 50 is added to them, what is the new mean? (a) 35 (b) 39 (c) 38 (d) 37
  36. 36.What is the mean of 3, 7, 17 and 5? (a) 9 (b) 7 (c) 8 (d) 10
  37. 37.What is the median of 7, 40, 1, 23 and 2? (a) 23 (b) 1 (c) 7 (d) 2
  38. 38.What is the median of 10, 15, 17, 18, 20, 37 and 12? (a) 15 (b) 16 (c) 18 (d) 17
  39. 39.What is the mean of 10, 11, 5, 16, 5 and 19? (a) 10 (b) 13 (c) 12 (d) 11
  40. 40.The mean of 6 numbers is 21. When the number 7 is added to them, what is the new mean? (a) 14 (b) 21 (c) 20 (d) 19

Answer key

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

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