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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 408 · 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 21, 3, 35, 12 and 34? (a) 34 (b) 35 (c) 21 (d) 12
  2. 2.The mean of 4 numbers is 37. When the number 17 is added to them, what is the new mean? (a) 34 (b) 37 (c) 27 (d) 33
  3. 3.What is the median of 2, 9, 4, 26 and 17? (a) 4 (b) 9 (c) 10 (d) 17
  4. 4.What is the mode of 13, 13, 4, 19, 5, 4 and 13? (a) 4 (b) 19 (c) 5 (d) 13
  5. 5.What is the mode of 19, 5, 13, 13, 13, 5 and 15? (a) 15 (b) 19 (c) 5 (d) 13
  6. 6.The mean of 3 numbers is 38. When the number 34 is added to them, what is the new mean? (a) 36 (b) 39 (c) 38 (d) 37
  7. 7.What is the median of 35, 33, 2, 29 and 24? (a) 29 (b) 2 (c) 24 (d) 33
  8. 8.What is the median of 6, 32, 1, 19, 9, 13 and 11? (a) 11 (b) 9 (c) 13 (d) 19
  9. 9.What is the mode of 18, 11, 5, 19, 5, 11 and 11? (a) 5 (b) 11 (c) 18 (d) 19
  10. 10.What is the mean of 5, 12, 18, 17, 16 and 22? (a) 18 (b) 14 (c) 16 (d) 15
  11. 11.What is the mode of 16, 3, 15, 15, 3, 9 and 15? (a) 9 (b) 3 (c) 15 (d) 16
  12. 12.What is the mean of 18, 10, 17, 8 and 12? (a) 14 (b) 13 (c) 12 (d) 15
  13. 13.The mean of 8 numbers is 25. When the number 43 is added to them, what is the new mean? (a) 34 (b) 25 (c) 27 (d) 28
  14. 14.What is the mode of 5, 5, 2, 5, 3, 20 and 2? (a) 2 (b) 20 (c) 5 (d) 3
  15. 15.What is the mean of 13, 14, 16 and 17? (a) 12 (b) 15 (c) 16 (d) 20
  16. 16.What is the mean of 19, 7, 3, 7, 10 and 8? (a) 9 (b) 10 (c) 8 (d) 11
  17. 17.What is the mean of 17, 17, 20 and 10? (a) 18 (b) 15 (c) 16 (d) 17
  18. 18.What is the mode of 13, 8, 8, 1, 15, 15 and 15? (a) 13 (b) 8 (c) 1 (d) 15
  19. 19.What is the mode of 9, 9, 2, 1, 18, 1 and 1? (a) 1 (b) 18 (c) 9 (d) 2
  20. 20.What is the mean of 13, 7, 5, 6 and 14? (a) 11 (b) 9 (c) 8 (d) 10
  21. 21.What is the mean of 6, 11, 2, 18, 15 and 20? (a) 13 (b) 11 (c) 12 (d) 14
  22. 22.What is the mean of 12, 20, 17 and 11? (a) 15 (b) 20 (c) 16 (d) 12
  23. 23.What is the median of 32, 31, 24, 20, 13, 40 and 8? (a) 24 (b) 25 (c) 31 (d) 20
  24. 24.The mean of 9 numbers is 30. When the number 50 is added to them, what is the new mean? (a) 32 (b) 30 (c) 40 (d) 33
  25. 25.The mean of 5 numbers is 16. When the number 28 is added to them, what is the new mean? (a) 19 (b) 22 (c) 18 (d) 16
  26. 26.What is the mode of 15, 4, 15, 4, 4, 1 and 16? (a) 15 (b) 16 (c) 1 (d) 4
  27. 27.What is the mean of 14, 5, 17 and 4? (a) 8 (b) 10 (c) 9 (d) 11
  28. 28.The mean of 3 numbers is 23. When the number 31 is added to them, what is the new mean? (a) 23 (b) 27 (c) 26 (d) 25
  29. 29.What is the mode of 12, 1, 16, 16, 14, 14 and 14? (a) 1 (b) 16 (c) 12 (d) 14
  30. 30.What is the mean of 5, 13, 14, 9 and 14? (a) 10 (b) 13 (c) 11 (d) 12
  31. 31.What is the mean of 6, 5, 14, 20 and 10? (a) 13 (b) 11 (c) 10 (d) 12
  32. 32.What is the mean of 2, 2, 20, 3, 18 and 3? (a) 7 (b) 9 (c) 10 (d) 8
  33. 33.What is the mean of 19, 2, 10, 17 and 12? (a) 10 (b) 13 (c) 12 (d) 15
  34. 34.What is the mean of 18, 20, 4 and 22? (a) 17 (b) 15 (c) 16 (d) 18
  35. 35.What is the median of 21, 28, 31, 40 and 38? (a) 28 (b) 32 (c) 38 (d) 31
  36. 36.What is the median of 4, 16, 1, 14 and 7? (a) 7 (b) 14 (c) 1 (d) 4
  37. 37.What is the mode of 4, 11, 14, 4, 4, 14 and 7? (a) 7 (b) 4 (c) 11 (d) 14
  38. 38.What is the mode of 20, 3, 20, 3, 10, 3 and 17? (a) 20 (b) 10 (c) 17 (d) 3
  39. 39.What is the mean of 5, 7, 13, 17, 5 and 7? (a) 8 (b) 11 (c) 9 (d) 10
  40. 40.What is the mode of 9, 18, 7, 9, 15, 18 and 9? (a) 18 (b) 9 (c) 15 (d) 7

Answer key

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

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