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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 195 · 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 median of 20, 2, 15, 23, 29, 32 and 40? (a) 23 (b) 20 (c) 29 (d) 24
  2. 2.The mean of 7 numbers is 19. When the number 43 is added to them, what is the new mean? (a) 31 (b) 19 (c) 23 (d) 22
  3. 3.The mean of 7 numbers is 39. When the number 15 is added to them, what is the new mean? (a) 37 (b) 39 (c) 36 (d) 27
  4. 4.What is the median of 17, 16, 32, 22 and 36? (a) 23 (b) 22 (c) 32 (d) 17
  5. 5.What is the median of 30, 18, 36, 22 and 39? (a) 30 (b) 29 (c) 22 (d) 36
  6. 6.The mean of 9 numbers is 19. When the number 49 is added to them, what is the new mean? (a) 19 (b) 23 (c) 22 (d) 34
  7. 7.What is the median of 20, 18, 12, 30, 34, 31 and 17? (a) 18 (b) 21 (c) 20 (d) 30
  8. 8.What is the median of 1, 5, 39, 24, 37, 18 and 35? (a) 35 (b) 18 (c) 25 (d) 24
  9. 9.What is the median of 15, 13, 1, 6 and 26? (a) 13 (b) 6 (c) 1 (d) 15
  10. 10.The mean of 7 numbers is 10. When the number 2 is added to them, what is the new mean? (a) 9 (b) 10 (c) 8 (d) 6
  11. 11.What is the mean of 10, 14, 12 and 16? (a) 15 (b) 12 (c) 14 (d) 13
  12. 12.What is the median of 22, 12, 4, 10 and 3? (a) 10 (b) 12 (c) 4 (d) 11
  13. 13.What is the mean of 12, 8, 6, 3, 18 and 13? (a) 10 (b) 12 (c) 9 (d) 11
  14. 14.What is the mean of 7, 11, 14, 2 and 21? (a) 12 (b) 11 (c) 10 (d) 13
  15. 15.What is the median of 13, 40, 33, 39 and 20? (a) 39 (b) 33 (c) 20 (d) 29
  16. 16.What is the median of 19, 33, 27, 20, 8, 1 and 38? (a) 21 (b) 19 (c) 27 (d) 20
  17. 17.The mean of 3 numbers is 40. When the number 56 is added to them, what is the new mean? (a) 48 (b) 45 (c) 40 (d) 44
  18. 18.The mean of 3 numbers is 34. When the number 18 is added to them, what is the new mean? (a) 34 (b) 30 (c) 26 (d) 31
  19. 19.What is the median of 31, 2, 26, 15, 35, 12 and 25? (a) 15 (b) 25 (c) 26 (d) 24
  20. 20.The mean of 3 numbers is 21. When the number 5 is added to them, what is the new mean? (a) 18 (b) 21 (c) 13 (d) 17
  21. 21.What is the mean of 11, 4, 2 and 11? (a) 6 (b) 8 (c) 9 (d) 7
  22. 22.What is the mode of 3, 4, 14, 8, 14, 14 and 3? (a) 8 (b) 4 (c) 14 (d) 3
  23. 23.What is the median of 29, 21, 15, 28 and 36? (a) 28 (b) 15 (c) 29 (d) 21
  24. 24.The mean of 8 numbers is 32. When the number 14 is added to them, what is the new mean? (a) 31 (b) 23 (c) 32 (d) 30
  25. 25.What is the median of 29, 24, 4, 36, 5, 1 and 27? (a) 24 (b) 18 (c) 27 (d) 36
  26. 26.What is the mode of 18, 16, 16, 5, 16, 14 and 5? (a) 18 (b) 16 (c) 14 (d) 5
  27. 27.What is the mean of 17, 6, 18, 15, 10 and 6? (a) 14 (b) 13 (c) 12 (d) 11
  28. 28.What is the mean of 14, 20, 8, 7, 2 and 3? (a) 11 (b) 9 (c) 10 (d) 8
  29. 29.What is the mean of 13, 19, 12, 13 and 18? (a) 16 (b) 17 (c) 14 (d) 15
  30. 30.What is the median of 21, 28, 38, 9 and 32? (a) 21 (b) 38 (c) 32 (d) 28
  31. 31.What is the median of 28, 21, 9, 3 and 32? (a) 22 (b) 9 (c) 28 (d) 21
  32. 32.What is the mode of 12, 12, 17, 2, 2, 11 and 12? (a) 11 (b) 12 (c) 17 (d) 2
  33. 33.What is the mode of 5, 14, 8, 14, 14, 1 and 5? (a) 5 (b) 14 (c) 1 (d) 8
  34. 34.What is the mode of 19, 5, 5, 3, 5, 17 and 19? (a) 19 (b) 17 (c) 3 (d) 5
  35. 35.What is the median of 29, 36, 5, 19, 14, 4 and 28? (a) 14 (b) 19 (c) 28 (d) 20
  36. 36.What is the median of 9, 10, 1, 32 and 18? (a) 10 (b) 14 (c) 1 (d) 18
  37. 37.What is the mode of 17, 8, 20, 3, 20, 8 and 8? (a) 17 (b) 3 (c) 20 (d) 8
  38. 38.What is the mean of 20, 15, 14, 6 and 15? (a) 16 (b) 13 (c) 15 (d) 14
  39. 39.The mean of 5 numbers is 23. When the number 11 is added to them, what is the new mean? (a) 17 (b) 21 (c) 22 (d) 23
  40. 40.The mean of 8 numbers is 36. When the number 63 is added to them, what is the new mean? (a) 36 (b) 38 (c) 40 (d) 39

Answer key

  1. 23
  2. 22
  3. 36
  4. 22
  5. 30
  6. 22
  7. 20
  8. 24
  9. 13
  10. 9
  11. 13
  12. 10
  13. 10
  14. 11
  15. 33
  16. 20
  17. 44
  18. 30
  19. 25
  20. 17
  21. 7
  22. 14
  23. 28
  24. 30
  25. 24
  26. 16
  27. 12
  28. 9
  29. 15
  30. 28
  31. 21
  32. 12
  33. 14
  34. 5
  35. 19
  36. 10
  37. 8
  38. 14
  39. 21
  40. 39

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