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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 180 · 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 35, 12, 37, 24, 8, 10 and 7? (a) 10 (b) 12 (c) 19 (d) 24
  2. 2.What is the median of 34, 10, 21, 4, 22, 8 and 17? (a) 17 (b) 10 (c) 4 (d) 21
  3. 3.The mean of 4 numbers is 40. When the number 55 is added to them, what is the new mean? (a) 44 (b) 43 (c) 42 (d) 40
  4. 4.The mean of 7 numbers is 34. When the number 2 is added to them, what is the new mean? (a) 34 (b) 18 (c) 30 (d) 31
  5. 5.What is the median of 23, 22, 31, 8, 17, 20 and 9? (a) 8 (b) 20 (c) 17 (d) 22
  6. 6.What is the median of 6, 9, 8, 25, 35, 33 and 17? (a) 17 (b) 9 (c) 19 (d) 25
  7. 7.What is the mean of 3, 3, 18, 6 and 15? (a) 10 (b) 9 (c) 8 (d) 11
  8. 8.What is the median of 22, 6, 7, 1 and 2? (a) 5 (b) 6 (c) 7 (d) 2
  9. 9.What is the median of 4, 13, 7, 15, 27, 32 and 23? (a) 23 (b) 15 (c) 13 (d) 16
  10. 10.What is the mode of 9, 6, 6, 5, 8, 5 and 6? (a) 9 (b) 5 (c) 8 (d) 6
  11. 11.What is the median of 27, 36, 14, 10 and 3? (a) 14 (b) 18 (c) 10 (d) 27
  12. 12.What is the median of 18, 6, 7, 9, 31, 29 and 33? (a) 19 (b) 9 (c) 29 (d) 18
  13. 13.What is the mean of 4, 11, 5, 20 and 10? (a) 11 (b) 10 (c) 9 (d) 12
  14. 14.What is the mean of 20, 18, 10, 15, 9 and 12? (a) 14 (b) 15 (c) 12 (d) 13
  15. 15.What is the mean of 13, 6, 19, 19 and 8? (a) 15 (b) 13 (c) 14 (d) 12
  16. 16.What is the mode of 20, 4, 9, 10, 9, 10 and 10? (a) 20 (b) 9 (c) 4 (d) 10
  17. 17.What is the median of 1, 34, 4, 13, 12, 38 and 30? (a) 12 (b) 30 (c) 14 (d) 13
  18. 18.What is the mean of 4, 18, 18, 20 and 5? (a) 12 (b) 14 (c) 13 (d) 15
  19. 19.The mean of 5 numbers is 35. When the number 53 is added to them, what is the new mean? (a) 44 (b) 38 (c) 39 (d) 35
  20. 20.What is the median of 6, 35, 36, 30 and 12? (a) 30 (b) 12 (c) 36 (d) 35
  21. 21.The mean of 3 numbers is 17. When the number 13 is added to them, what is the new mean? (a) 15 (b) 18 (c) 16 (d) 17
  22. 22.What is the mode of 3, 16, 10, 14, 14, 10 and 10? (a) 14 (b) 10 (c) 3 (d) 16
  23. 23.What is the mean of 7, 18, 6, 7 and 12? (a) 12 (b) 9 (c) 11 (d) 10
  24. 24.The mean of 7 numbers is 17. When the number 41 is added to them, what is the new mean? (a) 21 (b) 20 (c) 29 (d) 17
  25. 25.What is the mean of 12, 19, 2 and 11? (a) 10 (b) 12 (c) 13 (d) 11
  26. 26.What is the mode of 2, 8, 8, 4, 6, 4 and 4? (a) 2 (b) 6 (c) 4 (d) 8
  27. 27.What is the mode of 16, 12, 16, 19, 17, 17 and 16? (a) 12 (b) 16 (c) 17 (d) 19
  28. 28.What is the median of 33, 6, 13, 3, 21, 5 and 35? (a) 13 (b) 6 (c) 3 (d) 21
  29. 29.The mean of 8 numbers is 15. When the number 24 is added to them, what is the new mean? (a) 18 (b) 15 (c) 17 (d) 16
  30. 30.What is the median of 8, 10, 20, 34, 32, 17 and 3? (a) 20 (b) 10 (c) 17 (d) 34
  31. 31.What is the mode of 7, 17, 10, 7, 10, 15 and 7? (a) 17 (b) 7 (c) 15 (d) 10
  32. 32.The mean of 9 numbers is 20. When the number 40 is added to them, what is the new mean? (a) 22 (b) 30 (c) 20 (d) 23
  33. 33.What is the mode of 12, 4, 19, 12, 3, 19 and 19? (a) 12 (b) 4 (c) 19 (d) 3
  34. 34.What is the mean of 16, 20, 4, 7 and 8? (a) 13 (b) 12 (c) 10 (d) 11
  35. 35.What is the mode of 4, 4, 7, 16, 4, 10 and 10? (a) 10 (b) 4 (c) 16 (d) 7
  36. 36.What is the median of 28, 25, 7, 6, 29, 8 and 32? (a) 28 (b) 6 (c) 8 (d) 25
  37. 37.What is the median of 14, 17, 29, 22 and 9? (a) 22 (b) 29 (c) 17 (d) 14
  38. 38.What is the mode of 15, 15, 6, 15, 10, 9 and 9? (a) 10 (b) 6 (c) 9 (d) 15
  39. 39.What is the mode of 20, 18, 15, 1, 18, 18 and 15? (a) 18 (b) 15 (c) 1 (d) 20
  40. 40.The mean of 4 numbers is 37. When the number 22 is added to them, what is the new mean? (a) 35 (b) 33 (c) 37 (d) 34

Answer key

  1. 12
  2. 17
  3. 43
  4. 30
  5. 20
  6. 17
  7. 9
  8. 6
  9. 15
  10. 6
  11. 14
  12. 18
  13. 10
  14. 14
  15. 13
  16. 10
  17. 13
  18. 13
  19. 38
  20. 30
  21. 16
  22. 10
  23. 10
  24. 20
  25. 11
  26. 4
  27. 16
  28. 13
  29. 16
  30. 17
  31. 7
  32. 22
  33. 19
  34. 11
  35. 4
  36. 25
  37. 17
  38. 15
  39. 18
  40. 34

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