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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 238 · 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 2, 5, 2, 19, 2, 3 and 3? (a) 2 (b) 5 (c) 19 (d) 3
  2. 2.What is the median of 21, 29, 1, 12, 39, 2 and 5? (a) 12 (b) 13 (c) 5 (d) 21
  3. 3.What is the mean of 2, 9, 6, 20 and 13? (a) 9 (b) 10 (c) 12 (d) 11
  4. 4.What is the mode of 13, 13, 18, 5, 13, 18 and 15? (a) 15 (b) 13 (c) 5 (d) 18
  5. 5.What is the median of 8, 24, 35, 36 and 2? (a) 8 (b) 35 (c) 24 (d) 21
  6. 6.What is the median of 7, 3, 19, 32 and 16? (a) 16 (b) 17 (c) 7 (d) 19
  7. 7.What is the median of 27, 1, 12, 2, 26, 32 and 36? (a) 2 (b) 27 (c) 26 (d) 12
  8. 8.The mean of 5 numbers is 18. When the number 30 is added to them, what is the new mean? (a) 21 (b) 18 (c) 24 (d) 20
  9. 9.The mean of 6 numbers is 16. When the number 44 is added to them, what is the new mean? (a) 16 (b) 21 (c) 30 (d) 20
  10. 10.What is the median of 39, 13, 40, 11 and 4? (a) 13 (b) 39 (c) 40 (d) 11
  11. 11.What is the mode of 6, 14, 14, 2, 18, 14 and 6? (a) 14 (b) 2 (c) 18 (d) 6
  12. 12.What is the mean of 13, 7, 8, 13 and 14? (a) 11 (b) 10 (c) 12 (d) 13
  13. 13.What is the mean of 9, 2, 9 and 20? (a) 11 (b) 8 (c) 10 (d) 9
  14. 14.The mean of 4 numbers is 26. When the number 46 is added to them, what is the new mean? (a) 36 (b) 31 (c) 26 (d) 30
  15. 15.What is the mode of 8, 7, 13, 13, 5, 13 and 5? (a) 7 (b) 5 (c) 8 (d) 13
  16. 16.What is the mode of 13, 13, 13, 1, 2, 15 and 2? (a) 13 (b) 2 (c) 15 (d) 1
  17. 17.What is the mean of 12, 4, 17 and 7? (a) 9 (b) 11 (c) 10 (d) 8
  18. 18.What is the mean of 8, 18, 14, 13 and 12? (a) 13 (b) 14 (c) 15 (d) 12
  19. 19.What is the mean of 17, 20, 5 and 18? (a) 16 (b) 20 (c) 15 (d) 12
  20. 20.What is the median of 4, 7, 32, 22, 5, 30 and 16? (a) 16 (b) 7 (c) 22 (d) 17
  21. 21.The mean of 4 numbers is 24. When the number 34 is added to them, what is the new mean? (a) 24 (b) 26 (c) 29 (d) 27
  22. 22.What is the mean of 13, 3, 6, 6 and 7? (a) 6 (b) 7 (c) 9 (d) 8
  23. 23.What is the median of 5, 11, 38, 7, 34, 17 and 3? (a) 7 (b) 11 (c) 12 (d) 17
  24. 24.The mean of 3 numbers is 18. When the number 10 is added to them, what is the new mean? (a) 14 (b) 18 (c) 16 (d) 17
  25. 25.What is the mean of 20, 20, 7 and 13? (a) 20 (b) 15 (c) 16 (d) 12
  26. 26.What is the mean of 5, 17, 7 and 23? (a) 15 (b) 13 (c) 12 (d) 14
  27. 27.What is the median of 17, 1, 16, 34, 39, 9 and 20? (a) 20 (b) 17 (c) 16 (d) 34
  28. 28.What is the median of 19, 23, 12, 31, 15, 4 and 38? (a) 31 (b) 19 (c) 15 (d) 23
  29. 29.What is the mean of 11, 8, 6 and 23? (a) 12 (b) 16 (c) 13 (d) 11
  30. 30.What is the mean of 16, 14, 5, 7, 15 and 15? (a) 14 (b) 11 (c) 13 (d) 12
  31. 31.The mean of 6 numbers is 19. When the number 26 is added to them, what is the new mean? (a) 19 (b) 21 (c) 22 (d) 20
  32. 32.What is the mean of 9, 20, 15, 14 and 22? (a) 20 (b) 16 (c) 15 (d) 17
  33. 33.What is the mode of 15, 5, 4, 18, 4, 15 and 4? (a) 4 (b) 5 (c) 18 (d) 15
  34. 34.What is the median of 37, 10, 1, 2 and 29? (a) 2 (b) 1 (c) 10 (d) 29
  35. 35.What is the mode of 10, 5, 15, 10, 5, 5 and 4? (a) 10 (b) 15 (c) 5 (d) 4
  36. 36.What is the median of 32, 24, 17, 29 and 21? (a) 24 (b) 21 (c) 17 (d) 29
  37. 37.The mean of 9 numbers is 39. When the number 29 is added to them, what is the new mean? (a) 34 (b) 37 (c) 38 (d) 39
  38. 38.The mean of 7 numbers is 21. When the number 5 is added to them, what is the new mean? (a) 21 (b) 20 (c) 13 (d) 19
  39. 39.What is the mode of 2, 5, 13, 9, 2, 2 and 13? (a) 5 (b) 13 (c) 9 (d) 2
  40. 40.What is the mode of 16, 20, 1, 16, 6, 16 and 1? (a) 6 (b) 1 (c) 20 (d) 16

Answer key

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

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