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Mean Median Mode Worksheet for Maths Olympiad

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

Answer key

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

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